The answers to the question is -33
Answer:
D. 47
Step-by-step explanation:
Answer:
x ≈ 9.5
Step-by-step explanation:
using the cosine ratio in the right triangle
cos19° = 
= 
( multiply both sides by 10 )
10 × cos19° = x , then
x ≈ 9.5 ( to the nearest tenth )
we know that
<u>in the triangle PQR</u>
m∠PQR+m∠QPR+m∠QRP=180°------> the sum of the internal angles of a triangle is equal to 180 degrees
(m∠PQR+m∠QRP)+74°=180°-------> (m∠PQR+m∠QRP)=106°
we know that
If QS and SR are angle bisectors
then
<u>In the triangle QSR</u>
m∠SQR+m∠QSR+m∠QRS=180°-------> equation 1
and
(m∠SQR+m∠QRS)=106°/2--------> (m∠SQR+m∠QRS)=53°
substitute the value of (m∠SQR+m∠QRS)=53° in the equation 1
53°+m∠QSR=180°
m∠QSR=180°-53°-------->m∠QSR= 27°
therefore
<u>the answer is</u>
The measure of angle QSR is 27 degrees
Answer:
Its already simplified, if you were to simplify it even more it would be 8 5/6
