Segment PQ bisects the angle P, which means angle QPR has a measure of 21 degrees (which follows from the fact that triangles PQR and PQS are congruent and PR and PS are tangent to the circle).
This then means angle RQP has measure 90 - 21 = 69 degrees.
Angle Q is twice this, so it has measure 138 degrees.
Answer:
Part a-
area= 35
perimeter= 31
part b-
area= 25
perimeter= 18
Step-by-step explanation:
to find the area of a triangle you multiply 1/2Bh
so for part A:
A= 
(10)(7) (honestly, you can just input the whole equation into the calculator)
A=(5)(7)
A= 35
and for part B:
A= (8.34)(6)
A= (4.17)(6)
A=25.02 (or just 25)
THEN, to find the perimeter you add up all of the sides
so for part A:
P= 14 + 10 + 7 = 31
and for part B:
P= 4 
+ 8 + 5 = 17 
or 18
I hope this helps :)
Answer:
Step-by-step explanation:
You already have the answer.
1 [at] = 760 [mmHg]
1 [at] = 14,7 [psi]
1500 [mmHg] * 1 [at] / 760 [mmHg] * 14,7 [psi] / 1 [at] = 29.0 [psi]
2 units.
Since a triangle is basically a rectangle split in half, we just use the dimensions of the triangle without dividing by 2.
Jones takes 8 hours , therefore in one hour he paints a fraction of 1/8
smith takes 6 hours, thus in one hour he paints a fraction of 1/6
When working together they paint a fraction of 7/24 in an hour.
After 2 hours they will have painted a fraction of (7/24) ×2 = 7/12
The remainder will be 5/12 which will be undertake by smith alone.
Smith will therefore take 5/12 ×6/1 = 2.5 hour or 2 hours 30 minutes
