Answer:
the value is
Step-by-step explanation:
<em>=</em><em>3</em><em>(</em><em>5</em><em>.</em><em>1</em><em>0</em><em>+</em><em>2</em><em>)</em>
<em>=</em><em>3</em><em>(</em><em>7</em><em>.</em><em>1</em><em>)</em>
<em>=</em><em>2</em><em>1</em><em>.</em><em>3</em>
Answer:
A. 
Step-by-step explanation:
Hi there!
We are given right triangle PQR, with PR=5, RQ=12, and PQ=13
We want to find the value of sin(Q)
Let's first recall that sine is 
In reference to angle Q, PR is the opposite side, RQ is the adjacent side, and PQ is the hypotenuse
So that means that sin(Q) would be 
Substituting the values of PR and PQ gives sin(Q) as
, which is A
Hope this helps!
Answer:
<u></u>
- <u>The correct answer is the first choice: Hinge Theorem.</u>
Explanation:
The <em>Hinge Theorem</em> compares the lengths of two sides of two triangles, given that the other two pairs of sides are congruent and the included angles are different.
The theorem states that if two sides of a triangle are congruent to two sides of another triangle and the included angle of one triangle is greater than the included angle of the other triangle, then length of the third side of the first triangle is greater than the length of the third side of the second triangle.
The figures shows triangles UVT and STV
The angle UVT is greater than the angle STV.
The sides ST and VU are congruent, as the small vertical marks indicate.
The side TV is a common side of both triangles.
Then, you already have that two sides of the triangle STV are congruent to two sides of triangle UVT and the angle UVT is greater than the angle STV.
Hence, by the HInge Theorem the side TU is greater than side SV.
<span>Cross multiply
26*5x = 849 * 57
130 x = 48393
x = 48393 / 130
x = 372.25</span>