Answer:
B. 31.4
Step-by-step explanation:
To find x, the hypotenuse, we need to use sin because we have been given the <u>opposite</u> (the side opposite the angle 35°) and we need to work out the <u>hypotenuse</u> (the longest or <em>slanted</em> side):
SOH, CAH, TOA
sin(θ) = opposite ÷ hypotenuse
Sub in the values (we don't know the hypotenuse so i've called it x):
sin(35) = 18 ÷ x (multiply both sides by x)
x × sin(35) = 18 (divide both sides by sin(35))
x = 18 ÷ sin(35) = 31.38204...
x ≈ 31.4
Hope this helps!
Multiply numerators:
-4*-5=20
Multiply denominators:
9*8=72
20/72= 10/36
10/36= 5/18
Final answer: 5/18
C. Similar - AA
There is no information given that shows differences between the two triangles so you can assume that they're similar. The two angles are next to each other with no side interrupting them, and no side length is given, therefore the answer is Similar - AA (angle - angle)
Answer:
120 · b = 312 or 120b = 312
Step-by-step explanation:
Answer:
<h3>x = 6</h3>
Step-by-step explanation:
According to pythagorean theorem
a² = b² + x²
a is the hypotenuse
b and x are the opposite and adjacent
Let a = 10
b = 8
Substitute and get x:
10² = 8²+x²
x² = 10²-8²
x² = 100-64
x² = 36
x = √36
x = 6
<em>Hence the value of x is 6</em>
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