Answer:
The measure of ∠QML is 90°
The measure of ∠PMN is 117°
Step-by-step explanation:
In circle O:
- MQ is a diameter
- LN is a tangent to circle O at point M
- PM and RQ are secants
- m∠PMO is 27°
- m∠MQR is 42
∵ MQ is a diameter of circle O
∵ LN is a tangent to circle O at point M
- A diameter is perpendicular to a tangent at the point of
contact between them (one of end-point of the diameter)
∴ QM ⊥ LN at point M
∴ m∠QML = m∠QMN = 90°
The measure of ∠QML is 90°
∵ m∠PMN = m∠PMO + m∠QMN
∵ m∠PMO = 27° ⇒ given
∵ m∠QMN = 90° ⇒ proved
∴ m∠PMN = 27 + 90
∴ m∠PMN = 117°
The measure of ∠PMN is 117°
5% total increase, as 3 to 60 is 1/20 (5%)
Answer:
1/18
Step-by-step explanation:
Assuming the die are regular 1,2,3,4,5,6
P(2) = number of 2's/ total numbers on die
= 1/6
Roll again
Assuming the die are regular 1,2,3,4,5,6
P (numbers greater than 4) = {5,6}/total numbers on die
=2/6 = 1/3
P (2, then number greater than 4) = 1/6 * 1/3 = 1/18
Answer:
12
Step-by-step explanation:
2/3*8 is 12 hope this helps
Answer:
Polynomial: 2x^2-8x+3x-12
Trinomial: 2x^2-5x-12
Step-by-step explanation:
Just distribute the 2x to the x and -4 and then distribute the 3 to x and -4.
