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Inessa05 [86]
3 years ago
12

Helpppp pleaseeeee and could you put an explenation??? pleaseeee

Mathematics
1 answer:
Illusion [34]3 years ago
4 0

Answer:

Step-by-step explanation:

The angles would be supplementary

45 + 5x + 35 = 180

5x + 80 = 180

5x = 100

x = 20

To find out why they are supplementary, refer to the transversal below

∠3 = ∠7 (corresponding angles)

∠8 = 180 - ∠7 (supplementary angles)

And since ∠7 = ∠3...

∠8 = 180 - ∠3 which is why (in the problem) those two angles are supplementary (adding to 180 degrees)

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perimeter ≈ 18.9 units ( to 1 dec. place )

Calculate the lengths of the 3 sides using the distance formula

d = √( (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(1, 1) and (x₂, y₂ ) = B(9, 2 )

d = √( (9 - 1 )² + (2 - 1 )² ) = √(64 + 1 ) = √65

repeat with (x₁, y₁ ) = B(9, 2) and (x₂, y₂ ) = C(4,5 )

d = √( (4 - 9 )² + (5 - 2 )² ) = √(25 + 9 ) = √34

let (x₁, y₁ ) = A(1, 1 ) and (x₂, y₂ ) = C(4, 5 )

d = √( (4 - 1 )² + (5 - 1 )² ) = √(9 + 16 = √25 = 5

perimeter = √65 + √34 + 5 ≈ 18.9 units


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