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o-na [289]
4 years ago
15

Need help solve for X

Mathematics
1 answer:
mamaluj [8]4 years ago
7 0
The measure of the two hypothenus are equal as well as the measureof the two given legs.
x - y = x + 2 => y = -2
2x - y = 4x + 2y
2x - (-2) = 4x + 2(-2)
2x + 2 = 4x - 4
4x - 2x = 2 + 4
2x = 6
x = 6/2 = 3
x = 3
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Dafna11 [192]
<h3>Answer:  PC = 5</h3>

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

Work Shown:

AB+BC+CD = AD .... segment addition postulate

BC+BC+CD = AD ... replace AB with BC (since AB = BC)

BC+BC+BC = AD ... replace CD with BC (since BC = BC)

3*BC = AD .... combine like terms

3*BC = 12 .... replace AD with 12

BC = 12/3 .... divide both sides by 3

BC = 4

For right triangle PBC, the legs are BP = 3 and BC = 4. We can use the Pythagorean Theorem to find that the hypotenuse is PC = 5

The steps are shown below

(BP)^2+(BC)^2 = (PC)^2

3^2+4^2 = (PC)^2

9+16 = (PC)^2

25 = (PC)^2

(PC)^2 = 25

PC = sqrt(25)

PC = 5

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