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Marianna [84]
3 years ago
10

What is the answer need ASAP

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
8 0

ANSWER


C. 58°


EXPLANATION


The sum of the interior angles of a triangle is 180°.


We sum all the three angles to obtain,


8x+(14x+2)+(10x+50)=180.


We group like terms to get,



8x+14x+10x+2+50=180.


Simplify,



32x+52=180.


Combine like terms to get,


32x=180-52.


Simplify,


32x=128.



Divide both sides by 32 to get,



x=4.


We substitute the value of x into the expression for



m\:.


This implies that,


m\:.



m\:.



m\:.



The correct answer is C

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Problem 18

Answers:

~P -> Q: "if it is not fall, then the leaves change colors"

~P -> ~Q: "if it is not fall, then the leaves don't change colors"

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Explanation:

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==========================================

Problem 19

Answer: Choice A) 134

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Explanation:

AB = CD

8x = 4x+24

8x-4x = 24

4x = 24

x = 6

BC = 18x+26

BC = 18*6+26

BC = 134

==========================================

Problem 20

Answer: Choice C) x = 5 and y = 11

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Explanation:

(anglePQR)+(angleRQS) = 90

(12x-2)+(6x+2) = 90

18x = 90

x = 5

angle TQU = 90

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10y = 110

y = 11

==========================================

Problem 21

Answer:  99

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The remote interior angles add to the exterior angle (remote interior angle theorem)

(angle RPQ) + (angle PQR) = angle PRS

(3x-29) + (7x-42) = 6x-3

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10x-6x = -3+71

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x = 68/4

x = 17

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angle PRS = 6*17-3

angle PRS = 99

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Problem 22

Answer: 116

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Explanation:

Refer to the diagram below.

Solve 105+x = 180 to get x = 75

Solve 135+y = 180 to get y = 45

Solve x+y+z = 180 to get z = 60

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Solve q+r = 180 to get r = 116

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Answer: B) between 4 and 44 inches

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Explanation:

We use a variation of the triangle inequality theorem here.

If p is the missing side length, then

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So,

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Problem 24

4 Answers: A, B, C, D

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Explanation:

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Answer: C) 84 degrees

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