Answer:
x = - 90
Step-by-step explanation:
Given
10x + 60 = 9x - 30 ( subtract 9x from both sides )
x + 60 = - 30 ( subtract 60 from both sides )
x = - 90
It says that the triangles are congruent (same size). Also, a triangle's angles add up to 180 degrees. In both of these triangles, one angle is 90° and another angle is 52°. The other angle is 180°-90°-52°=38°.
Solve these equations to find x and y: 2x+18=38, 3y+11=38


Answer:
yeah the answer is (40,10)
Answer:
5x -12 = 3x +8 (set the two = each other because they are the same length)
2x- 12= 8 (subtract 3x from both sides)
2x = 20 (add 12 to both sides)
x=10 (what x= for both expressions)
5(10) -12 (plug it into the first one to see what the length is and to see they're =
50 - 12 ( I already multiplied, now subtract)
38 (what the length of TR is)
3(10) +8 (plug it in again but into the other expression)
30+8 (multiply and add)
38 (the two have the same answer, so the x-value is correct.)
38+38= 76 (add the lengths of RS and TR and you get the length of TS)
Step-by-step explanation:
I hope this helps :)
Answer:

Step-by-step explanation:
to find the surface area we need to find the followng areas:
- area of a triangle and multiply it by 4 (because there are 4 triangles)
And once we have those areas, we add them to find the surface area.
Area of the square:
the formula to find the area of a square is:

where
is the length of the side: 
thus the area of the square is:


Area of the triangles:
the are of 1 triangle is given by

where
is the base of the triangle:
(the base of the triangle is the side of the square)
and
is the height of the triangle: 
thus, the area of 1 triangle is:



the area of the 4 triangles is (we multiply by 4):


finally we add the area of the square and the area of the 4 triangles to find the total surface area:

