Factor the expression below x^2-49
1 answer:
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Answer:
x ≈ 20.42, y ≈ 11.71
Step-by-step explanation:
Using the cosine ratio on the right triangle on the right, that is
cos20° = =
Multiply both sides by y
y × cos20° = 11 ( divide both sides by cos20° )
y = ≈ 11.71
Using the sine ratio on the right triangle on the left, that is
sin35° = =
=
Multiply both sides by x
x × sin35° = 11.71 ( divide both sides by sin35° )
x = ≈ 20.42
<h2>Answer:</h2>
For a better understanding of this problem, see the figure below. Our goal is to find . Since:
and is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:
By Pythagorean theorem, for triangle NQP:
Applying Pythagorean theorem again, but for triangle MQN: