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weeeeeb [17]
2 years ago
11

Find the value of each variable in each parallelogram . on #17 and #18 .

Mathematics
1 answer:
navik [9.2K]2 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

17

The diagonals of a parallelogram bisect each other, then

x + 6 = 11 ( subtract 6 from both sides )

x = 5

and

y - 7 = 10 ( add 7 to both sides )

y = 17

(18)

The opposite sides of a parallelogram are congruent , then

3a + 11 = a + 15 ( subtract a from both sides )

2a + 11 = 15 ( subtract 11 from both sides )

2a = 4 ( divide both sides by 2 )

a = 2

and

3b + 5 = b + 11 ( subtract b from both sides )

2b + 5 = 11 ( subtract 5 from both sides )

2b = 6 ( divide both sides by 2 )

b = 3

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For ΔABC, ∠A = 8x - 10, ∠B = 10x - 40, and ∠C = 3x + 20. If ΔABC undergoes a dilation by a scale factor of 1 2 to create ΔA'B'C'
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3 years ago
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