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patriot [66]
2 years ago
12

Complete the paragraph proof. Given: and are right angles Line segment A B is-congruent-to line segment B C Line segment B C is-

congruent-to line segment A C Prove: Line A R bisects Angle B A C Triangles A B R and R C A share side R A. A line is drawn from point B to point C and intersects side A R at point P. It is given that and are right angles, and . Since they contain right angles, ΔABR and ΔACR are right triangles. The right triangles share hypotenuse , and reflexive property justifies that . Since and , the transitive property justifies . Now, the hypotenuse and leg of right ΔABR is congruent to the hypotenuse and the leg of right ΔACR, so by the HL congruence postulate. Therefore, ________ by CPCTC, and bisects by the definition of bisector.
Mathematics
2 answers:
aleksklad [387]2 years ago
7 0

Answer:

<BAR ≅<CAR

Step-by-step explanation:

Just took the test

anygoal [31]2 years ago
5 0

Answer:

A edg 2020

Step-by-step explanation:

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The area of a room is 396 square feet. The length is x+3, and the width is x+7 feet. Find the dimensions of the room
Marrrta [24]
This is an odd problem. The length and width look like they should be interchanged. Anyway I'll solve it and we'll talk about the results.
(x +7) (x + 3) = 396
x^2 + 7x + 3x + 21 = 396
x^2 + 10x + 21 = 396 Subtract 21 from both sides.
x^2 + 10x = 396 - 21
x^2 + 10x = 375
x^2 + 10x - 375 = 0 This probably factors.
(x + 25)(x - 15)
x + 25 = 0
x = - 25 which makes no sense. Negatives do not describe room dimensions.
x - 15= 0
x = 15. this is fine.

x+3 = 15 + 3 = 18
x + 7 = 15 + 7= 22

Check
=====
Area = L * W = 18 * 22 = 496. It does check.
22 should be the length

18 should be the width.
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1/8 gram of copper and 1/3 of silicone is used to manufacture 30 headphones. how much silicone is used in each pair of headphone
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0.0111 grams with the one repeating

Step-by-step explanation:

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