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Yuliya22 [10]
2 years ago
7

Instructions: Given the following image of two parallel lines cut by a transversal, find the value of x.​

Mathematics
2 answers:
Leya [2.2K]2 years ago
8 0

Answer:

X=6

Step-by-step explanation:

10x-5=9x+1

x-5=1

x=6

Goshia [24]2 years ago
7 0

Answer: opposite

9x+1= 10x-5

x=6

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Step-by-step explanation:

Two different approaches:

<u>Method 1</u>

Apply radical rule √(ab) = √a√b to simplify the radicals:

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Therefore,  (√98 - √50)² = (7√2 - 5√2)²

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<u>Method 2</u>

Use the perfect square formula: (a - b)² = a² - 2ab + b²

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So            (√98 - √50)² = (√98)² - 2√98√50 + (√50)²

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                                      = 148 - 2√98√50

Apply radical rule √(ab) = √a√b to simplify radicals:

√98 = √(49 x 2) = √49√2 = 7√2

√50 = √(25 x 2) = √25√2 = 5√2

Therefore,     148 - 2√98√50 = 148 - (2 × 7√2 × 5√2)

                                                 = 148 - 140

                                                 = 8

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