Since AS is a height issued from A and the perpendicular bisector of [MP] at the same time (given), so the triangle AMP is an isosceles triangle of vertex A. Then, AM=AP
MS=SP ( AS bisects MP as stated in the given )
AS is a common side between triangles ASM and ASP
Therefore, triangles ASM and ASP are congruent (SSS)
Answer: 
Explanation:
Follow PEMDAS in reverse to undo what's happening to x.
We first add 1 to both sides, then divide both sides by 5 to fully isolate x.
Refer to the steps below to see what I mean.

The inequality sign stays the same the entire time. The only time it flips is when you divide both sides by a negative number.
The solution set for x is anything -3 or larger.
If x was an integer, then we could say the solution set is {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, ...}
Answer:
12√2
Step-by-step explanation:
Use the Pythagorean Theorem here:
(12 cm)^2 + (12 cm)^2 = 288 cm^2.
The length of the hypotenuse is √288 = (√4)(√72) = 2(√36)(√2) = 12√2
Answer:
12.33
Step-by-step explanation:
6x - 2 + 9x - 3 = 180° (linear pair)
6x + 9x - 2 - 3 = 180°
15x - 5 = 180°
15x = 180 + 5
15x = 185
x = 185/15
x = 12.33
hope this helps you!