Answer:
m<PQR = 80°
Step-by-step explanation:
<u>Points to remember</u>
Sum angles in a linear pair is 180
<u>To find the value of x</u>
It is given that, angle PQR and angle RQS are linear pairs, and
m< PQR =5x+5 and m<RQS =11x-65
m<PQR + m<RQS = 180
5x + 5 + 11x - 65 = 180
16x -60 = 180
16x = 180 + 60
16x = 240
x = 15
<u>To find the value of angle PQR</u>
m<PQR = 5x + 5
= 5*15 + 5
= 75 + 5 = 80
Therefore m<PQR = 80°
Answer:
shrek
Step-by-step explanation:
<\3
Answer:
Step-by-step explanation:
From the graphs attached,
Let the coordinates of the two points given on the black line in the first graph are (-4, 2) and (-1, 10).
When these points have been rotated by 90° about the origin,
Rule for the rotation will be,
(x, y) → (y, -x)
Therefore, coordinates of the image points will be,
(-4, 2) → (2, 4)
(-1, 10) → (10, 1)
Therefore, red line given given in graph (1) and black line (After rotaion of 90° clockwise) in graph (2) will be same.
Answer:
answer attached
Step-by-step explanation:
(-8 , 12) and (36 , -21)
The formula for percent of increase/decrease:
difference in original and new/original x 100
17926-12475/12475=
5451/12475=
.4369
x 100=
43.7% increase
