Answer:
32°
Step-by-step explanation:
Given:
∠DMQ = 58º
In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°
Therefore, ∠MDQ = 90°
The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:
180 = ∠DMQ + ∠MDQ + ∠DQM
Solving for ∠DQM, we have:
∠DQM = 180 - ∠DMQ - ∠MDQ
∠DQM = 180 - 90 - 58
∠DQM = 32°
The measure of ∠DQM is 32°
Answer:
5² = 25
Step-by-step explanation:
log5 25 = 2
log(b) (x) = (y)
make b^(y) = (x)
5² = 25
I hope this helps!
Answer:
-4
Step-by-step explanation:
The function is linear; therefore, the slope of the line joining any two points is the same.
We take any two points from the table and compute the slope or rise/ run between them— let is take points (-4, -2) and (-2, -10).
The slope
of the line joining the points is

The slope of the function is -4.
Answer:
22
Step-by-step explanation:
add everything in the parentheses first, then multiply by 1/2 (or divide by 2)
(28 + 7 + 6 + 3) x 1/2 = 44 x 1/2 = 22