Answer:
Measure of ∠BCP is 36°
Step-by-step explanation:
Given the circle in which measure of arc BC is 72°
we have to find the measure of angle BCP.
m∠BOC=∠2=72°
By theorem angle subtended at the centre is twice the angle formed at the circumference of circle.
∴ ∠2=2∠1 ⇒ 72=2∠1
⇒ ∠1=36°
By alternate segment theorem which states that
The angle formed between a chord and a tangent through one of the end points of chord is equals to angle in alternate segment.
⇒ ∠3=∠1=36°
Hence, measure of ∠BCP is 36°
Option D is correct
Answer:
Capacity of tank = 44,000 l
Step-by-step explanation:
Given:
Height of tank = 3.5 m
Radius = 2 m
Find:
Capacity of tank
Computation:
Volume of cylinder = πr²h
Volume of cylinder = (22/7)(2)²(3.5)
Volume of cylinder = 44 m³
1m³ = 1000 l
So,
Capacity of tank = 44 x 1,000
Capacity of tank = 44,000 l
All angles on a triangle add up to 180. If it's a right triangle it would be set up like this: 90+3x-4=6x-5=180. You would subtract 90 from 180 and get 90 left. 3x-4+6x-5=90. Then you would add 5 and 4 to 90.....3x+6x=99. Then you add 3x and 6x then you would be left with 9x=99. Divide 99 by 9 and you get x=11.
Answer:
QS = 8x - 2
Step-by-step explanation:
QS = QR + RS
QS = 6x - 11 + 2x + 9
QS = 8x - 2
