A dilation is a transformation that changes the size but not the shape of a figure. Therefore, the image created by the dilation is not congruent to the pre-image, the original figure; it is similar. Each point of the image is distinguished from those of the pre-image by using a prime symbol.
You have 50 ways because if there are 10 different types of prizes with 5 prizes you can just multiply that to get your different ways to select the prizes.
Answer:
angle a equals 18
Step-by-step explanation:
Answer:
<h2><u><em>
x = 5</em></u></h2>
Step-by-step explanation:
What is the X
3x +15 and 2x + 20
assuming that the question is an equation
3x + 15 = 2x + 20
3x - 2x = 20 - 15
x = 5
-----------------
check
3 * 5 + 15 = 2 * 5 + 20
30 = 30
the answer is good
Answer:
13 in
Step-by-step explanation:
let w be width then length is w + 6
the area (A) of a rectangle is calculated as
A = length × width , then
A = w(w + 6) = 91 , that is
w² + 6w = 91 ( subtract 91 from both sides )
w² + 6w - 91 = 0 ← in standard quadratic form
(w + 13)(w - 7) = 0 ← in factored form
equate each factor to zero and solve for w
w + 13 = 0 ⇒ w = - 13
w - 7 = 0 ⇒ w = 7
however, w > 0 then w = 7
and length = w + 6 = 7 + 6 = 13 in
