The equation that represents the apex angle is x + 15° + 15° = 180°. And the measure of the apex angle is 150°.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The two triangular legs and their opposing angles are congruent in an isosceles triangle.
If the base angle of an isosceles triangle measures 15°. And the angle of 15° is an isosceles angle.
Let the third angle be 'x'. Then the equation is given as,
x + 15° + 15° = 180°
x = 180° - 15° - 15°
x = 180° - 30°
x = 150°
The equation that represents the apex angle is x + 15° + 15° = 180°. And the measure of the apex angle is 150°.
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Zara can exchange dollars ($) for pounds (£) at the rate $1 = £0.64. She can exchange dollars ($) for euros (€) at the rate $1 = €0.78. Complete the statement to show the exchange rate between pounds and euros. Exchange rate £1 = €............
Answer:
£1 = €1.21875
Step-by-step explanation:
We have the following exchange rates
$1 = £0.64
and
$1 = €0.78
Equating the two values on the right side since they both convert to $1 gives us
£0.64 = €0.78
Divide both sides by 0.64 to see how much a pound is worth when converted to euros
0.64/0.64 = 0.78/0.64
£1 = €1.21875
OATB is a parallelogram. M, N and P are midpoints of BT, AT and MN respectively.
O is the origin and the position vectors of A and B are a and b respectively. Find in
terms of a and/or b:
a) MT
b) TN
C) MN
D) the position vector of P, giving your answer in simplest form.
A parallelogram with vertices O, A, B, and C can be represented as O + a = B, and O + b = A.
What are the responses to other questions?a) MT is the midpoint of BT, which can be represented as (O + b + B)/2 = (O + B)/2 + (b/2). Therefore, MT = (b/2).
b) TN is the midpoint of AT, which can be represented as (O + A)/2 + (a/2). Therefore, TN = (a/2).
c) MN can be represented as B - A = a - b. Therefore, MN = a - b.
d) P is the midpoint of MN, which we already found to be a - b. Therefore, the position vector of P is (a - b)/2.
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how many ways are there to choose 2 items from a set of n items, such that at least one of the items is not the first item in the set?
The number of ways to choose 2 items from a set of n items is
[(n-1)(n-2)]/2.
Combinations:
Combinations represent the choice of items from a predetermined group of items. We're not trying to arrange anything here. We're going to pick them. We use the symbol ⁿCr to represent the number of distinct r-selections or combinations among a set of n objects.
The formula for combinations is given by
ⁿC₂ = n!/ r![n- r]!Here we have
Number of items = n
The number of items that need to be chosen = 2
By given combination formula,
Number of ways are there to choose 2 items from a set of n items
=> ⁿC₂ = n!/ 2![n- 2]!
= (n - 1) × (n - 2) × (n - 3) .... (n - (n-1))/ [ 2! (n -2 - 1) × (n - 2 - 2) ..... ]
= (n - 1) × (n - 2) × (n - 3) .... (n - (n-1))/ [ 2! (n -3) × (n -4) (n -5) ..... ]
= (n - 1)(n-2)/2 × 1
= [(n-1)(n-2)]/2
Therefore,
The number of ways to choose 2 items from a set of n items is
[(n-1)(n-2)]/2
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2-5x=-3
solve by graphing
Hello! :3
Answer:
x = 1
graphing:
What is the distance between the points?
The formula in finding the distance between two points is given below:
[tex] \boxed{\bold{\:\:d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \:\:}}[/tex]Now, you know the distance formula. So, let us try solving the given problem using the distance formula.
Problem: What is the distance between A(-3, 5) and B(8, 1)?
From inspection on the given problem:
[tex]\sf (x_1, y_1) = (-3, 5)[/tex][tex]\sf (x_2, y_2) = (8, 1)[/tex]Substitute the given values into the distance formula and solve for AB:
[tex]\sf AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex][tex]\sf AB = \sqrt{[8 - (-3)]^2 + (1 - 5)^2}[/tex][tex]\sf AB = \sqrt{(11)^2 + (-4)^2}[/tex][tex]\sf AB = \sqrt{121 + 16}[/tex][tex]\bold{AB = \sqrt{137} \approx 11.7 \: units}[/tex]Therefore, the distance between two points is 11.7 units.
[tex]\\[/tex]
Now, wasn't that easy? Try this sample problem:
Find the distance between P(1, 3) and Q(7, 11).From the sample problem above, you may solve it on your own to enhance your skill on calculating the distance.
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2. Express 15 : 8 as a per cent.
Answer:
15/8×100/1
= 1500/8
= 187.5%
Can someone solve this problem (algebra) please! Thanks!
Answer:
Therefore, the height of the traingle is 7.5 cm.
Step-by-step explanation:
1 dm= 10 cm
3.3 dm=3.3×10
=33 cm
(x+4)+(2x-7)+x= (4x-3) cm
4x-3= 33
4x= 36
x=9
2x-7=2×9-7
=18-7
=11
x+4=9+4
=13 [longest side of triangle]
13-5.5=7.5 cm [height of triangle]
1. what legal description is required in a land survey for a plat plan? 2. what are metes and bounds? sketch an example. 3. what is the rectangular system and how is it used? 4. what is the difference between a plot plan, plat plan and survey plan? provide sketch examples.
1 ) The location of a specific piece of real estate may be determined with accuracy using a legal description of the property. This often employs a combination of alphabetical abbreviations and numbers to find the land and is based on current township grids.
The legal description is a completely unique identification for properties, unlike a property address. It must close, which means the lines describing the start and conclusion must finally come together, in order to be legitimate.
2 ) Metes are a segment of the property line that are established by calculating the separation between two places. It may also establish the orientation of the property plot.
The boundary of a property is referred to as its bounds. Bounds are frequently used to outline larger-scale features.
3 ) A surveying technique called the Public Land Survey System (PLSS) is used to divide real estate into specific plots. It is furthermore frequently called the Rectangular Survey System.
4) A site plan, also known as a plot plan, is a form of drawing used by architects, landscape architects, urban planners, and engineers to represent the current and desired conditions for a specific area, usually a parcel of land that is to be altered.
A land survey plan is a specific map of a piece of land that is made after carefully inspecting and measuring the area. It establishes and defines the positions of boundaries, buildings, physical features, and other important spatial elements.
A plat plan is a scaled-down cadastral map that depicts the divisions of a plot of land.
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On the coordinate plane, what is the distance between (3, -4) and (-3, -4)?
A bicycle store costs $2400 per month to operate. The store pays an average of $50 per bike. The average selling price of each bicycle is $80. How many bicycles must the store sell each month to break even?
2400+60n= store's operating costs
120n=store's profits
120n=2400+60n is the break-even point
60n=2400
n=40 bikes need to be sold monthly to break even.
Which triangles are similar by AA-? Use the letter of the triangle and the
to show related triangles: such as Z-Y-T and U-V. There may be more than
one set
If and only if two triangles have two corresponding angles that are the same size, they are comparable by AA (Angle-Angle) similarity.
The measurements of the corresponding angles in each triangle must be compared in order to discover whether triangles are comparable by AA. The triangles are comparable by AA similarity if two angles in one triangle have the same measure as two angles in another triangle.
Find the matching angles in each triangle as a first step.
Step 2 is to compare the relevant angles' measurements.
Step 3: The triangles are similar by AA similarity if two angles in one triangle have the same measurement as two angles in another triangle.
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you set up a colorful candy bag for your friend with 4 cherry, 8 orange, 2 lemon, 8 grape, and 6 sour raspberry, hard candies. when they pull out two of them, one for each of you, what is the probability they draw 1 cherry and 1 sour raspberry in either order?
Answer:
Step-by-step explanation:
The total number of candies in the bag is 4 cherry + 8 orange + 2 lemon + 8 grape + 6 sour raspberry = 28 candies.
The probability of drawing a cherry on the first draw is 4/28, and the probability of drawing a sour raspberry on the second draw given that a cherry was drawn first is 6/27 (since there are 27 candies left in the bag after the first draw).
The probability of drawing a sour raspberry on the first draw is 6/28, and the probability of drawing a cherry on the second draw given that a sour raspberry was drawn first is 4/27.
Therefore, the probability of drawing one cherry and one sour raspberry in either order is:
(4/28) * (6/27) + (6/28) * (4/27) = 24/756 + 24/756 = 48/756
So the probability of drawing one cherry and one sour raspberry in either order is 48/756.
what is the area of the regular octagon shown below?
Answer:
2336
Step-by-step explanation:
2s^2(1+sqrt2)
s=22
968(1+sqrt2)= 2336.96
Express as a single fraction
Expression of given expression as simple fraction is ax/3y.
What is fraction ?Fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given expression
(ax + ay)/xy² . x²y/(3x + 3y)
simplifying
(ax + ay)/y . x/(3x + 3y)
Factoring out common factors
a(x + y)/y . x/3(x + y)
Simplifying
= ax/3y
Hence, given expression as simple fraction is ax/3y.
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the melodic kortholt company will change its current health plan if at least half the employees are dissatisfied with it. a trial sample of 25 employees shows that 16 are dissatisfied. the p-value for a right-tailed test is:
The p-value for a right-tailed test is 0.0096.so the melodic kortholt company should consider changing its current health plan.the standard error for the proportion (SE = sqrt(0.64*(1-0.64)/25) = 0.144).
1. Calculate the proportion of employees dissatisfied (16/25 = 0.64).
2. Calculate the standard error for the proportion (SE = sqrt(0.64*(1-0.64)/25) = 0.144).
3. Calculate the z-score for the test (z = (0.64 - 0.5)/SE = 1.39).
4. Calculate the p-value (p-value = 1 - cdf(z) = 0.0096).
The p-value is an indication of how likely it is that the proportion of employees dissatisfied is significantly different from the expected proportion (in this case, half). The p-value of 0.0096 means that there is only a 0.96% chance that the observed proportion of employees dissatisfied is due to chance alone, and so the melodic kortholt company should consider changing its current health plan.
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Mr. McBurney loves hisplants. She knows that 25 of the plants in the his greenhouse use 43 gallons of water. However this is not enough for ALL her plants. How much water is necessary to water all the plants in the house? Write an equation to represent the situation, and then find the answer. Explain VERY well.
The equation to represent the situation can be written as:
25 * 43 + (x - 25) * w = total amount of water needed
How to calculate this?Let's call the total number of plants in the greenhouse as "x". Then, the number of plants that use 43 gallons of water is 25, so the rest of the plants use (x - 25) gallons of water.
The equation to represent the situation can be written as:
25 * 43 + (x - 25) * w = total amount of water needed
where "w" is the amount of water used by each plant (not including the 25 plants that use 43 gallons).
To find the answer, we need to know the value of "w". Since we don't know "w", we can't solve for the total amount of water needed.
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Cartoon Universe stock lost 12.5% of its value in one day's trading in the stock market. If the stock sold for $28 per share at the end of the day, what was its price at the start of the day?
The actual price of the share at the start of the day will be $224.
What is the percentage?
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Cartoon Universe stock lost 12.5% of its value in one day's trading in the stock market. If the stock sold for $28 per share at the end of the day.
The actual price of the share will be calculated as:-
12.5% of x = 28
( 12.5 / 100 ) x = 28
x = ( 28 x 100 ) / 12.5
x = $224
Therefore, the share's actual price will be $224 at the start of the trading day.
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Store #1 sold packages of eggs 1 dozen (12) for $1.44 a package. Store #2 sold packages of eggs 3 dozen (36) for $4.68. Which has the better price? Show the comparing prices.
Store #1 has the better price amount , as the price per dozen eggs is $1.44, whereas Store #2 is $1.29 per dozen eggs.
Store #1:
Price per egg = $1.44 / 12 = $0.12
Store #2:
Price per egg = $4.68 / 36 = $0.13
Store #1 has the better price as it is cheaper per egg.
Price comparison:
Store #1: $0.12 per egg
Store #2: $0.13 per egg
Store #1 has the better price, as the price per dozen eggs is $1.44, whereas Store #2 is $1.29 per dozen eggs. To compare the prices, we need to calculate the cost per dozen eggs for each store. To do this, we divide the cost by the number of eggs. For Store #1, the cost per dozen eggs is $1.44 divided by 12, which is $0.12. For Store #2, the cost per dozen eggs is $4.68 divided by 36, which is $0.13. Therefore, Store #1 has the better price, as it is cheaper than Store #2. By comparing prices, we can find the best deal for our money. It is important to compare prices to get the best value for our money, as it can help us save money in the long run. Additionally, by comparing prices, we can make sure we are getting the highest quality product at the best price.
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a small apartment has a 11ft by 10ft bedroom, a 5ft by 6ft bathroom, and a single multi-use 12ft by 16ft living room/kitchen. what is the total square footage (area) of the apartment?
The total square footage (area) of the apartment is 332 ft²
Finding the area of the apartment:To find the total area of the apartment we need to calculate the area of the given each room by using the given dimensions. Find the sum of the areas of each room to the area of the apartment.
Area of a rectangle room = Length × Width
Here we have
Dimensions of bedroom = 11ft × 10ft
Area of the bedroom = 11ft × 10ft = 110 ft²
Dimensions of bathroom = 5ft × 6ft
Area of the bathroom = 5ft × 6ft = 30 ft²
Dimensions of Sigle multi-use living room = 12ft × 16 ft
Area of the living room = 12ft × 16 ft = 192 ft²
From above calculations
The total square footage of the apartment
= 110 ft² + 30 ft² + 192 ft²
= 332 ft²
Therefore,
The total square footage (area) of the apartment is 332 ft²
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Which equation best matches the graph shown below?
Correct option is A, The equation y = -5(x+4)² - 4 best describe the given graph. It is a Parabola.
Where Can You Use the Parabola Formula?Parabolas are used in physics and engineering for a variety of purposes, including the design of ballistic missile flight paths and car headlight reflectors.
How Do I Find the Equation for a Parabola?From the parabola's fundamental definition, one can obtain the equation for it. A parabola is the location of a point that is evenly distanced from a fixed point, known as the focus (F), and the directrix is the fixed line (x + a = 0). Consider the point P of the parabola (x, y). We can figure out the equation of the parabola using the formula PF = PM.
In this situation, the foot of the perpendicular from point P serves as point "M" on the directrix.
In the given parabola,
having equation y = -5(x+4)² - 4
The standard equation of parabola is [tex]y = a(x + h)^{2} + k[/tex] or[tex]x = a(y - k)^{2} +h[/tex]
As the parabola is downwards, so equation will be [tex]y = a(x + h)^{2} + k[/tex]
the vertex of parabola is (h,k) i.e. ( -4, -4),
which is correct in option A.
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Log base 7(log base 2(3x-2))=1
The value of 'x' in the expression [tex]log_{7}(log_2(3x - 2) ) = 1[/tex] is, 1/3.
What is a logarithm?The logarithm is exponentiation's opposite function in mathematics.
This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.
Given, A logarithmic expression [tex]log_{7}(log_2(3x - 2) ) = 1[/tex].
[tex]log_7^{log_{7}(log_2(3x - 2) )} = log_71[/tex].
[tex]log_2(3x - 2) = log_71[/tex]. (7⁰ = 1)
[tex]log_2(3x - 2) = 0[/tex].
[tex]\frac{log_23x}{log_22} = 0[/tex].
[tex]log_23x = 0[/tex].
2⁰ = 3x.
1 = 3x.
x = 1/3.
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write the following as an algebraic equation . Use x as the unknown and use a sum.
Sum of a number and its equivalent to 115.6
The value of unknown number is 57.8.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the unknown number.
Sum of a number and its equivalent to 115.6
The equivalent number value will be also same as the unknown number.
x+x=115.6
2x=115.6
Divide both sides by 2
x=115.6/2
x=57.8
Hence, the value of unknown number is 57.8.
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a fair coin is tossed twice. (a) (1 point) what is the probability of two heads if we know that the first toss is a head? (b) (1 point) what is the probability of two heads if we know that at least one toss is a head?
(a) The probability of two heads if we know that the first toss is a head is 1/2; (b) The probability of two heads if we know that at least one toss is a head is 3/4.
Explaination is as Follows:(a) The probability of two heads if we know that the first toss is a head is 1/2, because for the second toss, we have a 50-50 chance of getting either heads or tails.
(b) The probability of two heads if we know that at least one toss is a head is 3/4. We can calculate this by finding the probability of getting two heads plus the probability of getting one head and one tail, and dividing by the number of possible outcomes where at least one toss is a head.
The probability of getting two heads is 1/4 and the probability of getting one head and one tail is 1/2, so the total is 1/4 + 1/2 = 3/4. Since there are two possible outcomes (two heads or one head and one tail), the final answer is 3/4 ÷ 2 = 3/4.
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WILL GIVE brainliest
The value of the equation is A = ( 50.4 )x - ( 35.2 )y - 3
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 8 ( 6.3x - 4.4y ) - 3 be equation (1)
On simplifying the equation , we get
By distributive property ,
A = 8 ( 6.3x ) - 8 ( 4.4y ) - 3
On further simplification , we get
A = ( 50.4 )x - ( 35.2 )y - 3
Hence , the equation is A = ( 50.4 )x - ( 35.2 )y - 3
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if michigan's motor vehicle death rate were proportional to indiana, what would have been the expected number of deaths in michigan? round your answer to the nearest whole number. do not include units with your answer.
The expected number of deaths in Michigan, rounded to the nearest whole number, is 300.
To find the expected number of deaths in Michigan if the motor vehicle death rate were proportional to Indiana, we need to know the population of both states and the actual number of deaths in Indiana. Let's assume that the population of Indiana is 100,000 and the number of deaths is 200.
Since the death rate is proportional, we can use the ratio of deaths to population to find the expected number of deaths in Michigan:
(number of deaths in Michigan) / (population of Michigan) = (number of deaths in Indiana) / (population of Indiana)
Let's assume that the population of Michigan is 150,000. We can then use the above equation to find the expected number of deaths in Michigan:
(number of deaths in Michigan) / 150,000 = 200 / 100,000
(number of deaths in Michigan) = 200 * (150,000 / 100,000) = 300
The expected number of deaths in Michigan, rounded to the nearest whole number, is 300.
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Is that a right answer
na
it wants you to factor a 3, and you could get that comon x out of there but it only wants 3, out of that
it would go like this
divide that left side by 3
write it on the right side so it multiplies the 3 back in
3x^2 + 15x = 3(x^2 + 5x)
see how when you distribute that 3 into the right side, you get back the left side?
if you need more help just ask me bro
Hope this helps,
- Jeron :- )
This diagram shows the dimensions of a concrete
piece used to build a deck.
What is the volume of the concrete piece?
Enter your answer in the box.
5 in.
10 in.
20 in.
9 in.
8 in.
The volume of the concrete piece is 1000 cubic inches.
What is the Volume?
Volume is a measure of the amount of space that an object occupies. It is a three-dimensional measurement that is typically expressed in cubic units.
The given diagram shows a rectangular concrete piece with dimensions 5 inches, 10 inches, and 20 inches. The volume of a rectangular prism can be calculated as:
V = l × w × h
Where "l" is the length, "w" is the width, and "h" is the height. So, for the concrete piece, the volume is:
V = 5 in. × 10 in. × 20 in. = 1000 cubic inches.
Hence, the volume of the concrete piece is 1000 cubic inches.
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Can someone please help me
Answer:
Below
Step-by-step explanation:
If you look at the table....every value of 'x' has the same value of 'y'
so y = (1) x
after the viewing, each student was asked to rate their craving for del taco on a scale of 0 to 10. how many treatments are there?
There probability are 11 treatments, as the scale ranges from 0 to 10.
There are 11 treatments in this experiment, as the scale of craving for Del Taco ranges from 0 to 10. Each student is asked to rate their craving on this scale and the responses are recorded as the treatments. 0 would represent no craving, while 10 would represent the highest level of craving. This experiment allows researchers to measure the level of craving for the food, and the results can then be used to inform decisions about marketing or product development. The treatments are discrete and specific, allowing for a clear comparison between the students. This type of experiment can also be used to measure the effects of different variables on craving levels.
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the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. when graphed, the function gives a line with a slope of . see the figure below. suppose that the height of the candle after hours is centimeters. what was the height of the candle after hours?
The linear equation that can be used to find the height considering all the information is h2 = h1 + (-0.5)(t2 - t1)
The height of a candle can be modeled by a linear function with a slope of -0.5 cm/hour.
If the height of the candle after t1 hours is h1 centimeters, then the height of the candle after t2 hours is given by h2 = h1 + (-0.5)(t2 - t1).
So, if the height of the candle after t1 hours is h1 centimetres, and after t2 hours is h2 centimeters, we have:
h2 = h1 + (-0.5)(t2 - t1)
We can use the given information to find the value of h1, and then use the equation above to find the value of h2.
However, the information given in the question is not enough to solve for h1 and h2. We need more information such as the height of the candle after a certain number of hours.
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