in a triangle PQR,if angle P is equal to 60 and angle Q is equal to 40 degree what the value of exterior angle formed by producing QR
Answers
==================================================
Explanation:
See the diagram below.
We start with triangle PQR with the given angles mentioned. Then you extend out segment QR to form line QR. It goes off infinitely in both directions.
The exterior angle x adds to the interior angle Q = 40 to get 180
x+40 = 180
x+40-40 = 180-40 ... subtract 40 from both sides
x = 140
The exterior angle is 140 degrees
Related Questions
Simplify. Rewrite the expression in the form k⋅y^n. (2y^4)^3
Answers
Answer:
The answer is
[tex] {8.y}^{12} [/tex]Step-by-step explanation:
(2y⁴)³
Using the rules of indices
That's
[tex]( {ax})^{b} = {a}^{b} . {x}^{b} [/tex]So for the above expression we have
[tex]( {2y^{4} })^{3} = {2}^{3} . {y}^{4 \times 3} [/tex]Simplify
We have the final answer as
8.y¹²Hope this helps you
In baseball, the equation E=9R/I a pitcher's earned run average E, where R is the number of earned runs the player allowed and I is the number of innings pitched. Last season, a pitcher had an earned run average of 2.80 and allowed 70 earned runs. How many innings did the pitcher pitch last season?
Answers
Answer:
The innings pitched last season is 225.
Step-by-step explanation:
Given that,
Earned run average = 2.80
Allowed earned run = 70
The given equation is
[tex]E=\dfrac{9R}{I}[/tex]
We need to calculate the innings pitched last season
Using given equation
[tex]E=\dfrac{9R}{I}[/tex]
[tex]I=\dfrac{9R}{E}[/tex]
Where, E = earned run
R = allowed earned run
I = innings pitch
Put the value into the formula
[tex]I=\dfrac{9\times70}{2.80}[/tex]
[tex]I=225[/tex]
Hence, The innings pitched last season is 225.
Use the Order of Operations to evaluate: 19 •4 - 3+3
Answers
Answer:
76
Step-by-step explanation:
multiply 19^4 first to get 76, then minus 3 from that to get 73, and add 3 back to that to get 76.
please help me!!!!!!!!!!!!!
Answers
Answer: see proof below
Step-by-step explanation:
Use the following Half-Angle Identities: tan (A/2) = (sinA)/(1 + cosA)
cot (A/2) = (sinA)/(1 - cosA)
Use the Pythagorean Identity: cos²A + sin²B = 1
Use Unit Circle to evaluate: cos 45° = sin 45° = [tex]\frac{\sqrt2}{2}[/tex]
Proof LHS → RHS
Given: [tex]cot\ (22\frac{1}{2})^o-tan\ (22\frac{1}{2})^o[/tex]
Rewrite Fraction: [tex]cot\ (\frac{45}{2})^o-tan\ (\frac{45}{2})^o[/tex]
Half-Angle Identity: [tex]\dfrac{sin(45)^o}{1-cos(45)^o}-\dfrac{sin(45)^o}{1+cos(45)^o}[/tex]
Substitute: [tex]\dfrac{\frac{\sqrt2}{2}}{1-\frac{\sqrt2}{2}}-\dfrac{\frac{\sqrt2}{2}}{1+\frac{\sqrt2}{2}}[/tex]
Simplify: [tex]\dfrac{\frac{\sqrt2}{2}}{\frac{2-\sqrt2}{2}}-\dfrac{\frac{\sqrt2}{2}}{\frac{2+\sqrt2}{2}}[/tex]
[tex]=\dfrac{\sqrt2}{2-\sqrt2}-\dfrac{\sqrt2}{2+\sqrt2}[/tex]
[tex]=\dfrac{\sqrt2}{2-\sqrt2}\bigg(\dfrac{2+\sqrt2}{2+\sqrt2}\bigg)-\dfrac{\sqrt2}{2+\sqrt2}\bigg(\dfrac{2-\sqrt2}{2-\sqrt2}\bigg)[/tex]
[tex]=\dfrac{2\sqrt2+2}{4-2}-\dfrac{2\sqrt2-2}{4-2}[/tex]
[tex]=\dfrac{4}{2}[/tex]
= 2
LHS = RHS: 2 = 2 [tex]\checkmark[/tex]
Circle A has center of (4, 6) and a radius of 5, and circle B has a center of (1, 0) and a radius of 15. What steps will hemp show that circle A is similar to circle B?
A. Dilate circle A by a scale factor of 3.
B. Translate circle A using the rule (x - 3, y + 6).
C. Rotate circle A 180 About the center.
D. Reflect circle A over the y-axis.
Answers
Answer:
The correct option is;
A Dilate circle A by a scale factor of 3
Step-by-step explanation:
The given parameters are;
The center of circle A is (4, 6)
The radius of circle A = 5
The center of circle B = (1, 0)
The radius of circle B = 15
Therefore, circle A is similar to circle B and is equivalent to circle B, scaled down by a factor of 3
Radius of circle A = 5,
Radius of circle B = 15 = 3 × 5
Therefore, the scale factor for the dilation (transformation) of circle A to circle B is 3.
For a circle to be similar dilate circle A by a scale factor of 3
What is a circle?A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.
The given parameters are;
The centre of circle A is (4, 6)The radius of circle A = 5The center of circle B = (1, 0)The radius of circle B = 15Therefore, circle A is similar to circle B and is equivalent to circle B, scaled down by a factor of 3
The radius of circle A = 5,
Radius of circle B = 15 = 3 × 5
Therefore, the scale factor for the dilation (transformation) of circle A to circle B is 3.
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Bob sets the price of the plants according to their height in inches. A plant that is 9.5 inches high costs $2.28 in his store. What is the price per inch of a plant? Show your calculation.
Answers
Answer:
1 inches = $0.24
Step-by-step explanation:
9.5 inches =$2.28
$2.28 ÷ 9.5= .24
so the answer is 1 inch = $0.24
The price per inch of plant is $0.24.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Bob sets the price of the plants according to their height in inches.
A plant that is 9.5 inches high costs $2.28 in his store.
To find the price of the plant per inch:
Use division operation;
2.28 / 9.5
= $0.24 per inch.
Therefore, price is $0.24 per inch.
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Describe a real-world situation in which opposite quantities add together to equal zero.
Answers
Answer: Answer is in the steps.
Step-by-step explanation:
One situation is this.
Jason borrowed $5 from his best friend during a field trip and agreed to pay him back the next school day.The next day, he came back to school with $10 and used $5 to pay his friend back.Now answer the this question. How much does Jason owe his best friend now?
The answer to the question will be zero because Jason has already paid his friend all the money he borrowed.
A rectangle has an area of 90 units. what is the rectangles length and width?
Answers
Step-by-step explanation:
You must specify the length or the breadth either in values, variables or ratio. ..
There are infinite answers for this question., so I guess you have missed printing some information in it.. so rewrite the question please
If f(x)=3/x+2- sq x-3, complete the following statement: f(19)=__
Answers
Answer:
answer is 27/7
Step-by-step explanation:
F(19) means u have to put the value of x as 19
so by putting 19 we get
3/19+2 -root (19-3)
so 3/21 - root 16
or 3/21 -4
or 3- 84/21
or 81/21
ans= 3x27/3x7= 27/7
thank u
You have a function that takes in an X value and produces a Y value. The y value equals 24 times the x value, plus 4 more. What's the y value when the x value equals 4?
Answers
Answer:
They "y" value = (4 * 24) + 4 which equals
100
Step-by-step explanation:
helppp........!!!,,,ASAP
Answers
Answer:
Its a rational number
Step-by-step explanation:
because a rational number has fractions and -22 is a fraction or a decimal
Find the Absolute Value of: |-16+9|
Answers
Answer:
7
Step-by-step explanation:
|-16+9|
Calculate the number inside the absolute value
|-7|
Now take the absolute value
7
Answer:
its 7
Step-by-step explanation:
You travel from city A to city B and back your trip last five and a half hours and you maintain a speed of 64 miles per hour the entire trip city c, a city you pass on your trip is 49 miles from city B Find the distance between city a and city C
Answers
Answer:
401 MILES
Step-by-step explanation:
miles from A to B:
64 * 5.5 = 352 miles
miles from A to C:
352 + 49 = 401 miles
Kyle challenges you to a game. Each player rolls a standard number cube twice. If the sum of the results is divisible by 3, you win. If it is not, Kyle wins. What is your probability of winning? Is this a fair game?
Answers
Answer:
The probability of you winning is 1/3
No, it is not a fair game
Step-by-step explanation:
The first thing we need to have here is the sample space. This refers to the set of all possible results that can occur from the rolling.
Please check attachment for this
Kindly note that the total number of possible outcomes is 36.
And in the attachment, sums which are divisible by 3 are circled.
The number of circles we can count is 12
Thus, the probability of you winning would be number of circles/total number of outcomes = 12/36 = 1/3
Is it a fair game?
No, it is not
It can only be a fair game if the probability of winning equals probability of losing ( which is 18/36 = 1/2 or 0.5)
Find the midpoint of the segment with the endpoints:(-7,-8) and (4,7)
Answers
Answer: (-1.5, -0.5)
Step-by-step explanation:
Mike is buying a box of juice pouches. Flav-O-Squeeze costs $5.88 for 12 pouches. Turbo Taste costs $10.20 for 20 pouches. How much more does Turbo Taste cost per pouch?
Answers
Answer:
2 cents
Step-by-step explanation:
you would just divide the Flav-O-Squeeze price by 12 since there are 12 pouches and the Turbo Taste price by 20 since there are 20 pouches and then you would get 1 pack of Flav-O-Squeeze is 49 cents and 1 pack of Turbo Taste is 51 cents and if you subtract them Turbo Taste is 2 cents more then Flav-O-Squeeze
The cost of Turbo Taste per pouch is $0.02.
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 Mike is buying a box of juice pouches. Flav-O-Squeeze costs $5.88 for 12 pouches. Turbo Taste costs $10.20 for 20 pouches.
The more cost will be calculated as,
Cost of Turbo Taste = 10.20 / 20 = $0.51
The cost of Flate-O-Squeeze = 5.88 / 12 = $0.49
The more cost of Turbo-Taste = 0.51 - 0.49
The more cost of Turbo-Taste = $0.02
Therefore, the cost of Turbo Taste per pouch is $0.02.
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Find the measure of AB¯¯¯¯¯¯¯¯. A. 14 B. 22 C. 21 D. 20
Answers
Answer:
C. 21
Step-by-step explanation:
We use the Power of Point theorem, which states that for points A, B, C, D, and E oriented in the way shown in the attachment:
BC * AC = DC * EC
Here:
AC = AB + BC = (2x + 5) + 9 = 2x + 14
BC = 9
DC = 10
EC = KC = (1 + 2x) + 10 = 2x + 11
So plug all these in:
BC * AC = DC * EC
9 * (2x + 14) = 10 * (2x + 11)
18x + 126 = 20x + 110
2x = 126 - 110 = 16
x = 8
Put this back into the expression for AB:
AB = 2x + 5 = 2 * 8 + 5 = 16 + 5 = 21
The answer is thus C.
~ an aesthetics lover
Mr. Lopez bought 17 boxes of ceramic tiles for his patio. Each box contains 24 tiles. He also bought 32 glass tiles. He broke 13 tiles. Which expression shows the best estimate of the total number of tiles Mr. Lopez has now to cover his patio? Please help.
Answers
Answer:
17⋅24+32-13=427
Step-by-step explanation:
17⋅24=408 408+32=440 440-13=427
2. Simplify the following expression 1 (16 (16-12)
Answers
Answer:
The answer is 64.
16-12=4.
4×16×1=64.
Answer:
The answer is 64.
Step-by-step explanation:
16-12=4.
4×16×1=64.
Find the area of the triangle.
22 m
14 m
Answers
Answer:
Area = 154 m²
Step-by-step explanation:
i pressume base = 14 m
height = 22 m
Area of a triangle = 1/2 * base * height
Area = 1/2 * 14 * 22
Area = 154 m²
The area of the triangle is given by the equation A = 154 m²
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the area of the triangle be represented as A
Now , the value of A is
Let the height of the triangle be h
The value of h = 22 m
Let the base of the triangle be b
The value of b = 14 m
Now , area of the triangle = ( 1/2 ) x Length x Base
Substituting the values in the equation , we get
Area of the triangle A = ( 1/2 ) x 22 x 14
Area of the triangle A = 154 m²
Therefore , the value of A is 154 m²
Hence , the area of the triangle is 154 m²
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How to solve this problem
Answers
Answer:
28
Step-by-step explanation:
After substituting -2 for m and 5 for n, the original expression becomes:
|(-2)^2 - 7| + (5)^2, or
|4 - 7| + 25 or
|-3| + 25 = 28
Find the midpoint of the segment with the given endpoints.
(-5,3) and (-4,-8)
The midpoint is _
Answers
Answer: (-4.5, -2.5)
Step-by-step explanation:
Solve the inequality. Explain all steps and identify the properties used. 3a − 4 ≤ 5
Answers
Answer:
[tex]\boxed{a \leq 3}[/tex]
Step-by-step explanation:
Hey there!
Well to find "a" we need to single it out.
3a - 4 ≤ 5
+ 4 to both sides
3a ≤ 9
Divide both sides by 3
a ≤ 3
Hope this helps :)
a ≤ 3 is value of a inequality.
What are an example of inequality?
In mathematics, inequalities describe the connection between two values that are not equal. Equal does not imply inequality.Typically, we use the "not equal symbol ()" to denote an inequality between two numbers.But different inequalities are used to compare the values to determine if they are less than or higher than.3a - 4 ≤ 5
+ 4 to both sides
3a ≤ 9
Divide both sides by 3
a ≤ 3
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Suppose the population of a certain state is 6,215,000. If 435,050 are children under 5 years of age, 4,972,00 are between the ages of 5 and 65, and 807,950 are over 65, what percentage of people make up each age group?
(A) under 5: ___
(B) between 5 and 65: ___
(C) over 65: ___
Answers
Answer:
A) 435,050/6,215,000= 0.07= 7%
B) 4,972,000/6,215,000= 0.8= 80%
C) 6,215,000-(4,972,000+435,050)= 807,950
807,950/6,215,000=0.13=13%
*PLEASE ANSWER!!!* What is the volume of this prism?
Answers
Answer:
D, 160
Step-by-step explanation:
Base: from a rectangle 6×8 a square 4×4 is removed.
Base area: 6×8-4×4=48-16=32 square units.
Volume: base are × height=32×5=160cubic units.
Answer: D, 160
Given that (0,-5) is on the graph of f(x), find the
corresponding point for the function
f(-4x).
Answers
Answer:
the corresponding point for the function f(x) − 4 is (0,-9)
Step by Step Explanation --
Given that (0, -5) is on the graph of f(x),
WE need to find the corresponding point for the function f(-4x}
f(x) means the output y
f(x)-4 means subtract 4 from the output y
In the given point (0, 5) , x is 0 and y is -5
To get the corresponding point we subtact 4 from y
that is [-5]- 4 = -9
the corresponding point for the function f(x) − 4 is (-3,1)
Step-by-step explanation:
Answer:
(0,-5)
Step-by-step explanation:
[tex]-2m-5m=9m-12[/tex]
Answers
Answer:
[tex] - 2m - 5m = 9m - 12 \\ ⟶ - 2m - 5m - 9m = - 12 \\ ⟶ - 16m = - 12 \\ ⟶ - m = \frac{ - 12}{16} \\ ⟶ - m = \frac{ - 6}{8} \\ ⟶ m = - ( - \frac{6}{8} ) \\ ⟶m = \frac{6}{8} [/tex]
[tex]m=0.75[/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{m = 0.75}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 2m - 5m = 9m - 12}[/tex]
Collect like terms
⇒[tex] \sf{ - 7m = 9m - 12}[/tex]
Move 9m to left hand side and change it's sign
⇒[tex] \sf{ - 7m - 9m = - 12}[/tex]
Collect like terms
⇒[tex] \sf{ - 16m = - 12}[/tex]
Divide both sides of the equation by -16
⇒[tex] \sf{ \frac{ - 16m}{ - 16} = \frac{ - 12}{ - 16} }[/tex]
Calculate
⇒[tex] \sf{ m = 0.75}[/tex]
Hope I helped!
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Suppose a population
consists of 85,000 people. Which of the following
numbers of members of the population being surveyed could result in a
parameter but not a sample statistic?
O A. 850
O B. Both 850 and 85,000
O C. 85,000
D. Neither 850 nor 85,000
Answers
Answer:
c
Step-by-step explanation: A P E X
An experiment's or random trial's sample space is the set of all conceivable outcomes or results. The correct option is C.
What is a sample?A sample is a statistically significant subset of a larger population. The utilisation of samples enables researchers to conduct investigations with more manageable data and more quickly. Randomly chosen samples exhibit little bias if they are large enough, but obtaining such a sample can be costly and time-consuming.
Given that a population consist of 85,000 people. Now, the number of members of the population that being surveyed could result in a parameter but not a sample static is 8500. This is because a parameter is a value that describes a specific attribute of the population as a whole. A sample survey cannot provide this information. To determine the real value of a parameter, the entire population must be examined.
Hence, the correct option is 85,000.
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(4c^4+1)-(7c^3-3)+(2c^4+5c^3)
Answers
Answer:
6c^4 - 2c^3 + 4
Step-by-step explanation:
(4c^4 + 1) - (7c^3 - 3) + (2c^4 + 5c^3) = ⇒ parenthesis4c^4 + 1 - 7c^3 + 3 + 2c^4 + 5c^3 = ⇒ simplify, add up like terms6c^4 - 2c^3 + 4 ⇒ answerAnswer: 6[tex]c^{4}[/tex] - 2[tex]c^{3}[/tex] + 4
Step-by-step explanation:
[tex](4c^{4} +1)- (7c^{3} -3)+(2c^{4} + 5c^{3} )[/tex]
[tex]= 4c^{4} +1-7c^{3} +3+2c^{4} +5c^{3}[/tex]
Combine like terms
[tex]= 6c^{4} -2c^{3} + 4[/tex]
what is quadratic and it's formula
Answers
Answer:
A quadratic (equation or expression) involves the second and no higher power of an unknown quantity or variable.
Step-by-step explanation:
The quadratic formula is derived from the General form of a quadratic equation :
ax+bx+c=0
using completing the square method.
Quadratic formula=
[tex]x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]