Answer:
x is 30
Step-by-step explanation:
Angles in an equilateral triangle are 60°
Angle form by a radius and a tangent is 90°
90° + 60° + x = 180°
{Sum of angles in a triangle = 180°}
x = 180° - 150°
x = 30°
Answer:
It should be A. The first one. Again I could be wrong but I am 99.9999% Positive it is A. So forgive me if it is wrong!
Step-by-step explanation:
Function:)hope this helped
Answer:
x+16
Step-by-step explanation:
For this one the negative signs become positive because, if you multiply a negative number*a negative number it becomes positive. That is a rule.

9514 1404 393
Answer:
72
Step-by-step explanation:
The triangles are said to be similar. (ΔNPQ ~ ΔRSQ) That means corresponding sides have the same ratio:
NP/RS = NQ/RQ = PQ/SQ = 24/32 = 21/28 = 3/4
This ratio, or scale factor, also applies to the perimeters of the two triangles.
perimeter NPQ / perimeter RSQ = 3/4
Using the given expressions for the perimeters, we have ...
(7x +2)/(10x -4) = 3/4
We can solve this equation in the usual way to find the value of x. Then we can use that value to find the perimeter of ΔNPQ.
4(7x +2) = 3(10x -4) . . . . . multiply both sides by 4(10x -4)
28x +8 = 30x -12 . . . . . eliminate parentheses
20 = 2x . . . . . . . . . . . add 12-28x to both sides
10 = x . . . . . . . . . . . divide both sides by 10
The perimeter of ΔNPQ is ...
7x +2 = 7(10) +2 = 72
The perimeter of triangle NPQ is 72 units.