The value for n using quadratics

n = 10

Step-by-step explanation:

Given width = n + 6 and height is 13 less than width, then

height = n + 6 - 13 = n - 7

The area (A) of a triangle is calculated as

A = wh ( w is the width and h the height )

Here A = 24, w = n + 6 and h = n - 7 , thus

(n + 6)n - 7) = 24 ( multiply both sides by 2 )

(n + 6)(n - 7) = 48 ← expand left side using FOIL

n² - n - 42 = 48 ( subtract 48 from both sides )

n² - n - 90 = 0 ← in standard form

(n - 10)(n + 9) = 0 ← in factored form

Equate each factor to zero and solve for n

n - 10 = 0 ⇒ n = 10

n + 9 = 0 ⇒ n = - 9

However, n > 0, thus n = 10

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

answer: idk

step-by-step explanation: