Answer:
∠S = 21.10°
∠M = 79.45°
PM = 9.16
Step-by-step explanation:
Here Pythagorean theorem and trigonometry suffice to solve our problem.
From the Pythagorean theorem we get:
and

We solve for
in the second equation and get:


Now since

Therefore

and

And finally again from the Pythagorean theorem:


Thus,
∠S = 21.10°
∠M = 79.45°
PM = 9.16.
Answer:
x = -1
Step-by-step explanation:
-2(x - 5) = 12
-2x + 10 = 12 (this is the mistake, -2 times -5 = + 10)
-2x = 12 - 10
-2x = 2
x = 2/(-2)
x = -1
Answer:
y = 5
Step-by-step explanation:
slope = Δy / Δx = (5 - 5) / (0 - 2) = 0
y = Ax + B
y = 0x + 5
Answer: False
Step-by-step explanation:
Triangle is a polygon with 3 sides. The formula for calculating the sum of angle in a polygon is given as :

where n is the number of sides , so to calculate the sum of angles in a triangle we have :

= 1 x 180
= 180
Therefore : The triangle angle sum property states that the measures of the 3 angles of any triangle must add to 180 degrees.
I think the answer is 7 if i am not mistaking