Answer:
-90m+74
Step-by-step explanation:
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:
V = 396 cm³
Step-by-step explanation:
the volume (V) of the prism is calculated as
V = Ah ( A is the area of the triangular face and h the height of prism )
A = 
bh ( b is base and h perpendicular height )
here b = 9, h = 8 , then
A = × 9 × 8 = 4.5 × 8 = 36 cm² , so
V = 36 × 11 = 396 cm³
Answer: The answer is 6
Step-by-step explanation: 3x-15=3 Add 15 to both side
3x=18 Divide 3 to both side
3= 3
x=6 The answer
Just substitute the ordered pairs in the equation of y = x²+k
(3,-2)
-2=9+k
k= -11
Therefore, the value of k is - 11
