Please help me with questions 23, 24, and 25

Mathematics

1 answer:

alekssr [168]3 years ago

6 0

Problem 23
A = 40
B = 3x+1
C = 3x+1
B and C are congruent, so they have the same angle measure

The three angles of any triangle add to 180 degrees
A+B+C = 180
40+(3x+1)+(3x+1) = 180
6x+42 = 180
6x = 180-42
6x = 138
x = 138/6
x = 23

Answer: B) 23

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Problem 24

AB is the midsegment parallel to XY
So AB is half that of XY
AB = (1/2)*XY
AB = (1/2)*28
AB = 14

Answer: B) 14

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Problem 25

Note the ratio of the given rectangle's sides: 7/12 = 0.583 roughly

Divide the answer choices in a similar fashion
A) 5/7 = 0.714
B) 14/36 = 0.389
C) 21/36 = 0.583
D) 21/48 = 0.4375

We get the same result in choice C as we did in the original rectangle

Answer: C) 21 ft x 36 ft

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