Answer:
Below
Step-by-step explanation:
The plane's distance is the hypotenuse of a right triangle with legs of
(50 -20)mi = 30 miles and 30500 - 18000 = 12500 ft
for consistent units 12500ft/5280ft/mile = 2.36742 miles
Now just use Pythagorean theorem
Hypotenuse^2 = leg1^2 + leg2^2
h^2 = 30^2 + 2.36742^2
h = ~ miles 30.093 miles ( note that the vertical descent distance does not matter much)
(this is 158 892 feet)
solve this asap please
The oak tree is 35.5 feet tall.
What do you mean by Algebraic Expression?A mathematical expression known as an algebraic expression can include variables, numbers, and operations (such as addition, subtraction, multiplication, and division). If the values of the variables are known, it indicates a value that can be calculated. Although an algebraic expression lacks an equal sign and cannot be solved like an equation, algebraic methods can be used to simplify or manipulate it. For example, the expression 2x + 3y is an algebraic expression, where x and y are variables.
a) To solve this problem, we can draw a diagram to represent the situation:
In this diagram, "A" represents Benjamin's position, "B" represents the mirror, and "C" represents the top of the oak tree. Let's call the height of the oak tree "h".
b) We can use Angle-Angle Similarity to solve for h. In this case, we have two similar right triangles: ABC and ABD. We can write an equation to relate their sides:
(AB)/(BC) = (AD)/(CD)
c) Plugging in the known values:
(5)/(40) = (5.75)/(h + 5.75)
Expanding and solving for h:
h = (40 * 5.75)/5 - 5.75
h = 35.5 feet
So, the oak tree is 35.5 feet tall.
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professor x calculates the grades on the first exam for their statistics class and finds that students' either did really well or really poorly. what kind of distribution does professor x have?
In order to determine the exact nature of the distribution, Professor X would need to analyze the data in more detail, for example, by creating a histogram or other visual representation of the grades, and conducting statistical tests to determine the nature of the distribution.
If Professor X finds that the grades on the first exam for their statistics class either did really well or really poorly, it suggests that the distribution of grades is bi-modal, meaning there are two distinct peaks in the distribution. This means that some students did very well on the exam and scored high grades, while others did very poorly and scored low grades, with very few students scoring grades in between these two groups.
A bi-modal distribution is not a common occurrence in a typical exam setting, as most exams tend to have a normal or bell-shaped distribution with a single peak, where the majority of students score around the average or mean grade. The bi-modal distribution found by Professor X could be due to a variety of factors, such as students having widely differing levels of prior knowledge, or students' varying levels of preparation for the exam.
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The function f(x) = 5x + 2,500 models the number of computer chips produced by a manufacturing plant each month during its first year. How many computer chips was the plant able to produce in month 3?
The number of computer chips produced in 3 months will be 2515.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the function f(x) = 5x + 2,500 models the number of computer chips produced by a manufacturing plant each month during its first year.
The number of chips will be calculated as:-
f(x) = 5x + 2,500
f(3) = 5 x 3 + 2500
f(3) = 15 + 2500
f(3) = 2515
Therefore, the number of chips will be 2515.
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Madison starts with a population of 1,000 1 , 000 amoebas that triples in size every hour for a number of hours, ℎ h . She writes the expression 1,000(3ℎ) 1,000 ( 3 h ) to find the number of amoeba after ℎ h hours. Tyler starts with a population of 1 1 amoeba that increases 30% 30 % in size every hour for a number of hours, ℎ h . He writes the expression (1+0.3)ℎ 1 + 0 . 3 h to find the number of amoeba after ℎ h hours. Use the drop-down menus to explain what each part of Madison’s and Tyler’s expressions mean.
Here we get 1.3 is the growth factor, 0.3 is the growth rate, and 1 is the initial population of amoebas.
Since Madison's population of 1,000 amoebas begins by doubling every hour for a certain number of hours, h.
In other words, the total number of amoebas after one hour is
3*1000=[tex]3^{1}[/tex]*1000.
Total number of amoebas after two hours is equal to 3*3000=[tex]3^{2}[/tex]*1000. The total number of amoebas after three hours is 3*9000=[tex]3^{3}[/tex]*1000.
In a similar manner, the total number of amoebas,
f(h) = [tex](1+0.3)^{h}[/tex]
where the starting amoeba population is 1000. 3 is the population growth factor, and f(h) is the amoeba population after h hours.
Since Tyler begins with a colony of a single amoeba that grows by 30% per hour for a certain length of hours.
In other words, after one hour, there were =[tex](1+0.3)^{1}[/tex]
After two hours, there were a total of =[tex](1+0.3)^{2}[/tex]
After three hours, there were a total of =[tex](1+0.3)^{3}[/tex]
In a similar manner, the total number of amoebas,
f(h) =[tex](1+0.3)^{h}[/tex]
where 1.3 is the growth factor, 1 is the initial population of amoebas and 0.3 is the growth rate.
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You can use the equation A = HW 1/2 to approximate a person's body surface area A (in 3600 square meters), where His height (in centimeters), and Wis weight (in kilograms). Approximate the body surface area to the nearest tenth of a person with a height of 160 centimeters and a weight of 64 kilograms. m²
The body surface area is 1.7 m²
How to determine the body surface areaFrom the question, we have the following parameters that can be used in our computation:
A = (HW/3600)^(1/2)
Where H is the height in cm and W is the weight in kg.
Substitute the known values in the above equation, so, we have the following representation
A = (160 * 64 / 3600)^(1/2)
Evaluate
A ≈ 1.69 m²
Rounding to the nearest tenth:
A ≈ 1.7 m²
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If A(-9, 4) and B(3, -2), find the midpoint of AB.
Answer:
(-3,1)
Step-by-step explanation:
The value of x [tex]\frac{-9+3}{2}[/tex] = -3
The value of y [tex]\frac{4-2}{2}[/tex] = 1
Answer:
Mid point is (-3, 1)
Step-by-step explanation:
Let mid point be M
[tex] { \boxed{ \sf{m = ( \frac{x _{1} + x _{2} }{2}} , \: \frac{y _{1} + y _{2}}{2}) }} \\ \\ { \tt{m = ( \frac{ - 9 + 3}{2} , \: \frac{4 - 2}{2} )}} \\ \\ { \tt{m = ( \frac{ - 6}{2}, \: \frac{2}{2} ) }} \\ \\ { \tt{m = ( - 3, \: 1)}}[/tex]
The growth in visitors to a community website from 2006 to 2007 was 117%. The number of visitors was 8.9 million in 2006. How many visitors were there in 2007?
Answer:
10413000 visitors
Step-by-step explanation:
117% = 1.17
8900000 times 1.17 = 10413000 visitors
So, there were 10413000 visitors in 2007.
HELP PLEASEEEEEEEEEEE
Answer:
y intercept = -3
the slope of the line is 1
Step-by-step explanation:
y intercept is the value of y when x = 0
x = 0 when y = -3
Calculate the slope based on the table below:
Answer:-1/2
Step-by-step explanation:
Take two points and use the formula (y2-y1)/(x2-x1). I used (0,4) and (4,2) as my set of coordinate pts.
consider the polynomial function
The end behaviour of the polynomial function p(x) = -9x⁹ + 6x⁶ - 3x³ + 1 is
As x → ∞, P(x) → ∞ and as x → -∞, P(x) → ∞What is a polynomial function?A polynomial function is a function in which the lowest power of the unknown is 2.
How to determine the end behaviour of the graph p?Since the graph p hs the polynomial function p(x) = -9x⁹ + 6x⁶ - 3x³ + 1.
To determine its values as x → ∞, we see that the -9x⁹ term is the dominant term in the polynomial function.
So, p(x) ≅ -9x⁹
So, substituting x = ∞ into the equation, we have that
p(x) ≅ -9x⁹
p(∞) ≅ -9(∞)⁹
p(∞) ≅ -9(∞)
p(∞) ≅ -∞
So, as x → ∞, P(x) → ∞
Also, to determine its values as x → -∞, we see that the -9x⁹ term is the dominant term in the polynomial function.
So, p(x) ≅ -9x⁹
So, substituting x = -∞ into the equation, we have that
p(x) ≅ -9x⁹
p(∞) ≅ -9(-∞)⁹
p(∞) ≅ -9(-∞)
p(∞) ≅ 9∞
p(∞) ≅ ∞
So, as x → -∞, P(x) → ∞
So, the end behaviour is
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Select strong association moderate assossiation or weak association for each correlation 0.8, .25 ,0.9, 0.65coeffcient
The correlation coefficient measures the strength of the linear relationship between two variables. A coefficient of 0.8 implies a strong linear relationship between two variables, a coefficient of 0.25 implies a weak linear relationship between two variables.
0.8: Strong Association
0.25: Weak Association
0.9: Strong Association
0.65: Moderate Association
The correlation coefficient is a numerical measure of the strength of the linear relationship between two variables. Values of the correlation coefficient fall between -1 and +1. A coefficient of 0 implies that there is no linear relationship between two variables. The closer the coefficient is to either -1 or +1, the stronger the correlation. A coefficient of 0.8 implies a strong linear relationship between two variables, a coefficient of 0.25 implies a weak linear relationship between two variables, a coefficient of 0.9 implies a very strong linear relationship between two variables, and a coefficient of 0.65 implies a moderate linear relationship between two variables.
The correlation coefficient measures the strength of the linear relationship between two variables. A coefficient of 0.8 implies a strong linear relationship between two variables, a coefficient of 0.25 implies a weak linear relationship between two variables, a coefficient of 0.9 implies a very strong linear relationship between two variables, and a coefficient of 0.65 implies a moderate linear relationship between two variables.
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A dilation with a scale factor of 2 maps ΔABC to ΔDEF. Which best compares m∠B to m∠E?
The comparison of m∠B to m∠E is that both angles are congruent
How to compare the anglesFrom the question, we have the following parameters that can be used in our computation:
A dilation with a scale factor of 2 maps ΔABC to ΔDEF
When a shape is dilated to form another, the corresponsing sides change while the corresponding angles remain the same
Using the above as a guide, we have the following:
Angle B cprresponds to angle E
Hence, the are equal angles
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Identify the letter that represents the following numbers on the number line.
Letters which represent negative integers on a number line are present on the left side of zero and you can also identify them with the minus sign they carry.
What is number lines ?
Integers are arranged at equal intervals along horizontal, straight lines known as number lines. A number line can be used to visualize all the numbers in a succession. Both endpoints of this line continue indefinitely.
The number line is a straightforward straight line with divisions indicated at regular intervals, much like a scale. Any point can be selected as "0," and all positive and negative numbers are arranged to the right and left of the "0" respectively.
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The complete question is -
Identify the letter that represents the following number negative integers on a number line .
during basketball practice mai attempted 40 free trows and was successful on 25% of them how many successful free trows did she make
Answer:
10
Step-by-step explanation:
25% of 40 1/4*40=40/4=10
The points (4,2) and (5,r) fall on a line with a slope of
–7. What is the value of r?
Answer:
r = -5
Step-by-step explanation:
To find the value of 'r', use the slope formula.
(4, 2) ; x₁ = 4 and y₁ = 2
(5 , r ) ; x₂ = 5 and y₂= r
[tex]\boxed{slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\dfrac{r -2}{5 - 4 }= -7\\\\\dfrac{r -2}{1}=-7[/tex]
r - 2 = -7
r = -7 + 2
r = -5
on a blueprint, a rectangular kitchen has a length of 4 inches and a width of 3 inches. if the length of the kitchen is 6 feet, what is the perimeter of the kitchen?
21 feet is the perimeter of the kitchen .
In arithmetic, what is a perimeter?
The perimeter is the space surrounding a shape's edge. Discover how to calculate the perimeter of various forms by multiplying their side lengths. The whole distance that the sides or limits of a rectangle cover is known as its perimeter.
The perimeter of a rectangle will be equal to the sum of its four sides because rectangles have four sides.
on a blueprint, a rectangular kitchen has a length = 4 inches
a width = 3 inches
So it's width is equal to = 6/4 * 3
= 4.5 feet
the perimeter of this kitchen is = 2(6 + 4.5 )
= 2 * 10.5 = 21 feet
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A parabola can be drawn given a focus of
(5, -4) and a directrix of y=2. Write the equation of the parabola in any form.
Therefore , the solution of the given problem of equation comes out to be the equation of the parabola in standard form is x² - 10x - 12y + 13 = 0
Define equation.In arithmetic equations, the identical figure (=) is used to denote the equivalence of two assertions. It is demonstrated that mathematical methods, which have acted as manifestations of reality, can be used to assess a variety of numerical factors. The equal sign actually splits the number 12 into two separate pieces, despite the fact that the result is y + 6 = 12.
Here,
The distance between the focus and vertex is the same as the distance between the vertex and directrix, which is |-4 - (-1)| = 3. This distance is also equal to the absolute value of the coefficient "a" in the equation of the parabola.
Therefore, the equation of the parabola in vertex form is:
(x - 5)² = 4p(y + 1)
where "p" is the distance between the vertex and the focus, which is 3. Substituting this value into the equation gives:
(x - 5)² = 4(3)(y + 1)
Simplifying:
(x - 5)² = 12y + 12
Expanding the left side:
x² - 10x + 25 = 12y + 12
Moving all the terms to one side:
x² - 10x - 12y + 13 = 0
So the equation of the parabola in standard form is:
x^2 - 10x - 12y + 13 = 0
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What is the relationship between DE and AC? There are two properties to state, be sure to state both.
How does Huck feel in the adventures of huckleberry finn
In Adventures of Huckleberry Finn, at first, Huck feels good about writing to Jim's owner.
What is adventures?Adventure is an exciting experience or undertaking that is usually daring, sometimes risky. Adventures can be dangerous activities such as travel, exploration, skydiving, mountain climbing, diving, rafting or other extreme sports.
here, we have,
Adventures are often undertaken for psychological excitement or to achieve a greater goal, such as the pursuit of knowledge that can only be obtained through such activities.
Adventure not only expands your mind, increasing courage, but also gives you the opportunity to grow and learn. New environments and cultures are full of meaningful lessons that you may not encounter in your everyday life. Adventures expand the way we see and interact with the world.
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HELP ASAP, WILL GIVE BRAINLIEST,
In a repeated experiment, Kim rolled a fair die twice. The theoretical probability of both rolls equaling a sum greater than 9 is 6 over 36. Predict how many times the rolls will result in a sum greater than 9 if the experiment is repeated 144 times.
24
12
9
6
Answer: We can predict that the rolls will result in a sum greater than 9 approximately 24 times.
Step-by-step explanation: The theoretical probability of both rolls equaling a sum greater than 9 is given as 6/36. To predict how many times the rolls will result in a sum greater than 9 if the experiment is repeated 144 times, we can use the concept of probability.
The probability of an event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
In this case, the probability of both rolls resulting in a sum greater than 9 is 6/36, which simplifies to 1/6. This means that out of every 6 possible outcomes, 1 will result in a sum greater than 9.
To predict the number of times this will occur in 144 repetitions, we can multiply the probability by the number of repetitions:
(1/6) * 144 = 144/6 = 24
Therefore, we can predict that the rolls will result in a sum greater than 9 approximately 24 times if the experiment is repeated 144 times.
which of these data sets represent continuous data? a.) number of questions answered correctly in a multiple-choice quiz b.) numbers of tickets sold for a football game c.) heights of members of a baseball team d.) population of towns within a state
All four data which is number of questions answered correctly in a multiple-choice quiz and numbers of tickets sold for a football game and heights of members of a baseball team and population of towns within a state are continuous data.
Countable data is referred to as continuous data. The values in this data are not constant and can take on an endless number of different forms. You can also divide these measures up into smaller, independent components. Examples of continuous data include the following: A person's height or weight
in a) number of questions answered correctly in a multiple-choice quiz can be count
b.) numbers of tickets sold for a football game can be count and c.) heights of members of a baseball team can be measure and d.) population of towns within a state can be count .
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42. Solve for y: 2(y - 4) > 0
Answer:
Step-by-step explanation:
if we divide each side with 2,
(2(y-4))/2>0/2
y-4>0
y>4
Answer:
y > 4
Step-by-step explanation:
2(y - 4) > 0
Solving the inequality:
Divide each side by 2.
2/2(y - 4) > 0/2
y - 4 > 0
Add 4 to each side.
y - 4+4 > 0+4
y > 4
The cross-section of the prism below is a compound shape formed of two
rectangles.
Work out the volume of the prism.
Give your answer in cm³.
6 cm
4 cm
2 cm
8 cm
15 cm
The volume of the prism formed of two rectangles is 528 cm³
What is an equation?An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either be linear, quadratic, cubic, depending of the degree of the variable.
Volume of the prism is the amount of space that it occupied. From the prism shown:
Volume of prism = area of L shaped base * height
Area of L shaped base = (2 cm * 6 cm) + (8 cm * 15 cm) = 132 cm²
Volume of prism = 132 cm² * 4 cm = 528 cm³
The volume of the prism is 528 cm³
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Which correlation coefficient represents the strongest downward trend in a data set?
-0. 83
-0. 23
0. 12
0. 92
HELP PLS
The correlation coefficient that represents the strongest downward trend in a data set is -0.83.
The correlation coefficient measures the strength and direction of the relationship between two variables, with values ranging from -1 to 1. A negative correlation coefficient indicates a downward trend, meaning as one variable increases, the other decreases.
The magnitude of the coefficient represents the strength of the relationship, with values close to -1 indicating a strong downward trend and values close to 0 indicating a weak or nonexistent relationship. In this case, among the options provided, the correlation coefficient of -0.83 represents the strongest downward trend.
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Probability: The answer i got was 0.2
this is my work:
Non-negativity: f(x) ≥ 0 for all x in the support of X.
normalization: The sum of f(x) over all x in the support of X must be equal to 1.
In this case, the support of X is {0, 1, 2, 3, 4}. So, for f(x) to be a valid probability distribution function, i should have:
0 ≤ f(x) for all x in {0, 1, 2, 3, 4}
and
f(0) + f(1) + f(2) + f(3) + f(4) = 1
so find the value of k such that:
0 ≤ k ≤ 1
and
f(x) = k for all x in {0, 1, 2, 3, 4}
since f(x) must be equal to k for all x in the support of X, we have:
k = f(0) = f(1) = f(2) = f(3) = f(4)
and
k * 5 = 1 so, k = 1/5
so,
f(x) = 1/5 for all x in {0, 1, 2, 3, 4}
is a valid probability distribution function for a discrete random variable X which can take on the values 0, 1, 2, 3, or 4.
so the answer is 0.2
The required [tex]f(x) = x/10[/tex] is a valid probability distribution function for a discrete random variable X which can take on the values 0, 1, 2, 3, or 4.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
For a function f(x) to be a valid probability distribution function (pdf) for a discrete random variable X, it must satisfy the following conditions:
Non-negativity: [tex]f(x) = x/k[/tex] is non-negative for all x when k > 0.
Normalization: We need to find the value of k such that the sum of the probabilities for x = 0, 1, 2, 3, 4 is equal to 1.
[tex]f(x) = x/k[/tex] for x = 0, 1, 2, 3, 4.
The sum of the probabilities is given by:
[tex](0/k) + (1/k) + (2/k) + (3/k) + (4/k) = 1[/tex]
[tex]10/k = 1[/tex]
So, k = 10.
Thus,[tex]f(x) = x/10[/tex] is a valid probability distribution function for a discrete random variable X which can take on the values 0, 1, 2, 3, or 4.
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Find the volume of cuboid which is 9cm multiply 4cm multiply 5cm
The volume of cuboid is 180 cubic centimeters.
As we know the formula for the volume of the cuboid is given as:
V = l × w × h
where, V is the volume of the cuboid
l is the length of the cuboid
w is the width of the cuboid
and h is the height of the cuboid
Here, the dimensions of the cuboid are: 9cm × 4cm × 5cm
Let the length of the cuboid is l = 9 cm,
the width of the cuboid is w = 4 cm
and the height of the cuboid is h = 5 cm
Using above formula of volume of cuboid,
V = l × w × h
substitute values, l = 9, w = 4 and h = 5
⇒ V = 9 × 4 × 5
⇒ V = 180 cm³
Therefore, the volume of cuboid 180 cubic centimeters
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The graph of a system of linear inequalities is shown below. Identify the linear inequalities in the system.
The linear inequalities in the given graph is [tex]y\geq \frac{1}{2} -1[/tex] and y< -1/2x -3.
Linear inequalities:
Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, ‘<’, ‘>’, ‘≤’ or ‘≥’. These quantities may be numerical, algebraic, or a combination of the two.
The symbols "" and ">" signify tight inequalities, while "" and "" signify slack inequalities. A linear inequality has the same appearance as a linear equation, but uses a different symbol to link the two expressions.
In the given graph, the area above solid line,
points, (-2 , -2) , (0 , -1)
slope = [tex]\frac{-1-(-2)}{0-(-2)}[/tex]= [tex]\frac{1}{2}[/tex]
so, [tex]y\geq \frac{1}{2} -1[/tex]
The area below dashed line ,
points, (-2 ,-2) , (0 ,-3)
slope= [tex]\frac{-3-(-2)}{0-(-2)}= \frac{-1}{2}[/tex]
so, y< -1/2x -3.
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Anna compra helado y naranjas en la tienda.
• Ella paga un total de $59.53.
• Ella paga un total de $6.49 por el helado.
• Ella compra 8 bolsas de naranjas que cuestan la misma cantidad cada una.
Escribe y resuelve una ecuación que se pueda usar para determinar X, cuánto cuesta
cada bolsa de naranjas.
Ecuación:
Respuesta: X=
Answer:
Podemos utilizar la información proporcionada para escribir la siguiente fórmula y resolverla para encontrar el valor de X, que representa el costo de cada bolsa de naranjas:
6,49 + 8X = 59,53
Para resolver la fórmula, primero debemos despejar la variable X. Restamos 6.49 de ambos lados:
8X = 53,04
Luego, dividimos ambos lados por 8:
X = 6,63
Por lo tanto, cada bolsa de naranjas cuesta $6.63.
an was planning a trip to Oman.
Before going, he did some research and
learned that the exchange rate is $3 = 1
Rial. How many Rials would he get if he
exchanged $54?
Answer:
18 Rials
Step-by-step explanation:
54 divided by 3= 18
Ned made the design at the right. Use a protractor. Find and write the measure of each of the 3 angles
The measures of the three angles are 60 degrees, 75 degrees and 45 degrees.
A semi-circle has a total angle measure of 180 degrees. The sum of the angles formed by the two arcs must equal the total angle measure of the semi-circle.
Let's call the angle formed by the first arc "angle A" and the angle formed by the second arc "angle B".
From the given information, we know that:
angle A = 60 degrees
angle B = 75 degrees
So, angle A + angle B = 60 degrees + 75 degrees = 135 degrees
Since the total angle measure of the semi-circle is 180 degrees, the measure of the remaining angle is:
180 degrees - 135 degrees = 45 degrees
Therefore, the measures of the three angles are:
angle A = 60 degrees
angle B = 75 degrees
angle C = 45 degrees
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Question: Ned made the design at the right. Use a protractor. Find and write the measure of the 3rd angle with given 60 and 75 degrees.