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°
True
because 2 is a prime number, and it is divisible by 2
The simplified expression of (2x+1)/(x²-3) is 2x/(x²-3) + 1/(x²-3)
<h3>How to simplify the expression?</h3>
The expression is given as:
(2x+1)/(x²-3)
The above expression is a fraction and the numerator has 2 terms
For a fraction
A + B)/x
The fraction can be split as
A/x + B/x
Using the above as a guide, we have:
(2x+1)/(x²-3) = 2x/(x²-3) + 1/(x²-3)
Hence, the simplified expression of (2x+1)/(x²-3) is 2x/(x²-3) + 1/(x²-3)
Read more about expressions at:
brainly.com/question/723406
#SPJ1
Answer:
3.4
Step-by-step explanation:
both angles are equal, i.e 16x - 9 = 45.
the value of x is 3.375
It’s $37 a month, because if you divide 9% by 3400, you get 37
