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Natasha_Volkova [10]
3 years ago
8

Quadrilateral ABCD is a kite. If AD=AB, find AD A. 5/3 B. 7 C. 5/7 D. 22

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
5 0
AD = AB

AD = 2r+8
AB = 5r-13

we need to find the value of r to find the total length

so 2r+8 = 5r-13
subtract 2r from each side:
8 = 3r -13
add 13 to each side:
21 = 3r
divide both sides by 3
r = 21 / 3 = 7
r=7
 now we know r, so replace r with 7 in the equation for AD

AD = 2r+8 = 2(7) +8 = 14 +8 = 22

 the answer is D. 22


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Answer:

<h2>PART A: x = 15 and y = -8</h2><h2>PART B: x = -5 and y = 3</h2>

Step-by-step explanation:

PART A:

The first equation is x + y = 7\\y = 7 - x  .............(a)

The second equation is 3x - 2y = 1\\2y = 3x - 1

Putting the value of y from (a) in the above equation, we get 2y = 3x - 1\\2(7 - x) = 3x - 1\\14 - 2x = 3x - 1\\x = 15

From (a) we get y = 7 - x = 7 - 15 = -8

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Here the system of equations are -x + 4y = 17........(a) and 3x - 5y = -30.........(b)

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