Answer:
We can use FOIL to solve this:
F - First
O - Outer
I - Inner
L - Last
Answer:
x=7
Step-by-step explanation:
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
2(x+13)=(x−2)⋅8
Solve the equation for x.
Simplify 2(x+13).
Start simplifying.
0+0+2(x+13)=(x−2)⋅8
Simplify by adding zeros.
2(x+13)=(x−2)⋅8
Apply the distributive property.
2x+2⋅13=(x−2)⋅8
Multiply 2 by 13
2x+26=(x−2)⋅8
Simplify (x−2)⋅8
Apply the distributive property.
2x+26=x⋅8−2⋅8
Simplify the expression.
Move 8 to the left of x
2x+26=8⋅x−2⋅8
Multiply −2 by 8
2x+26=8x−16
Move all terms containing x to the left side of the equation.
Subtract 8x from both sides of the equation
2x+26−8x=−16
Subtract 8x from 2x
−6x+26=−16
Move all terms not containing x to the right side of the equation.
Subtract 26 from both sides of the equation
−6x=−16−26
Subtract 26 from −16
−6x=−42
Divide each term in −6x=−42 by −6 and simplify
Divide each term in −6x=−42 by −6
Simplify the left side
Cancel the common factor of −6.
Divide x by 1.
Simplify the right side.
Divide −42 by −6.
x=7
Start with the bottom surface area, 7x7=49
then go to the triangles, base times height divided by 2, so (7x14)/2=49
and since there are 4 triangles, multiply 49 by 4 = 196 and add the area of the bottom, which all adds up to 245
