Find the lateral area and the surface area of the right prism.
WILL GIVE BRAINLIEST AND 60 POINTS NEED HELP ASAP!!!

390

Step-by-step explanation:

We know that the top is a rectangle triangle, we only have two of the tree sides and the one that is missing is the hypotenuse. The formula to find it is

If we put the values we know it would be

= 13

So now we have the lenght missing.

The area of the top and bottom is the same and we found it by the formula = = 30, that is the area of just one triangle, multiply by 2 and that is the area of top and bottom = 30 x 2 = 60

The area of a rectangle is base x height, we have three rectangles.

First one: 13 x 11 = 143

Second one: 5 x 11 = 55

Third one: 12 x 11 = 132

The sum of the areas would be = 60 + 143 + 55 + 132 = 390

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

$3,200 x 7.25% = $3,200 x .0725 = $232 interest monthly

$232 monthly x 12 annual = $2, 784

step-by-step explanation: