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<u><em>Answer:</em></u>sin (C)
<u><em>Explanation:</em></u><u>In a right-angled triangle, special trig functions can be applied. These functions are as follows:</u>
sin (theta) = </span>

<span>
cos (theta) = </span>

<span>
tan (theta) = </span>

<span>
<u>Now, let's check the triangle we have:</u>
<u>We have two options:</u>
<u>First option:</u>5 is the hypotenuse of the triangle
4 is the side adjacent to angle B
Therefore, we can apply the <u>cos function</u>:
cos (B) = </span>

<span>
<u>Second option:</u>5 is the hypotenuse of the triangle
4 is the side opposite to angle C
Therefore, we can apply the <u>sin function</u>:
sin (C) = </span>

<span>
Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.
Hope this helps :)
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Answer:
17°
Step-by-step explanation:
Let x represent the measure of the angle.
(90 -x) = 5 + 4x . . . . the complement is 5° more than 4 times the angle
85 = 5x . . . . . . . . . . add x-5 to both sides
17 = x . . . . . . . . . . . . divide by 5
The measure of the angle is 17°.
<span>Xsquared -5x= 2x-6
x^2 - 5x - 2x + 6 = 0
x^2 - 7x + 6 = 0
(x -6)(x-1) = 0
x-6 = 0, x = 6
x - 1 = 0, x = 1
answer
solutions
x = 1 and x =6</span>
Answer:
Step-by-step explanation:
<u>As per steps given the congruent pairs are:</u>
- AB and AC
- BD and CD
- Angle B and angle C
So two sides and included angle - it represents side-angle-side or SAS congruency theorem
Answer:
-11 - 13i.
Step-by-step explanation:
(12) — (23 + 13i)
= 12 - 23 - 13i
= -11 - 13i.