We have two fractions, \dfrac{5}{12}
12
5

start fraction, 5, divided by, 12, end fraction and \dfrac{3}{4}
4
3

start fraction, 3, divided by, 4, end fraction, and we want to rewrite them so that they have a common denominator (and whole number numerators).
what numbers could we use for the denominator?
choose 2 answers:
choose 2 answers:

(choice a)
a
181818

(choice b)
b
121212

(choice c)
c
242424

(choice d)
d
88

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.

yx = 36

step-by-step explanation:

cos f = opposite side/ hypotenuse

cos f = yw / yx

we know cos f = 4/9 and yw =16

4/9 = 16/yx

multiply each side by yx

4/9 yx = 16/ yx * yx

4/9 yx = 16

multiply each side by 9/4

9/4 * 4/9 yx = 16 *9/4

yx = 36