Find the value of each variable... Pick each that apply
1 answer:
Answer:
Step-by-step explanation:
The first triangle right isosceles. The sides opposite the 45° angles are the same length.
x = 13
By the Pythagorean Theorem, y = 13√2
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Second triangle is 30°-60°-90°. Remember that the sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.
The side opposite the 30° has length 3, so the side opposite the 60° angle is 3√3 and the side opposite the 90° angle is 6.
x = 6
y = 3√3
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The third figure has another 30°-60°-90° triangle. The side opposite the 30° angle is 17, so the side opposite the 60° angle is 17√3 and the side opposite the 90° angle is 2×17 = 34.
x = 17√3
The other triangle is right isosceles.
z = 34
y = 34√2
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Option C:
Solution:
Given expression:
To find which expression is equal to the given expression.
Expand the term
Arrange the like terms together.
Factor the numerator
Cancel the common factor g + 2, we get
Hence option C is the correct answer.