Answer:
x = <u>12/5</u>
Step-by-step explanation:
Since the original is 10 and the second is 6, that means that the scale is 10:6 or 5:3. It can also be related as %60 of the length.
<u>Step 1: Make an equation</u>
10/6 = 4/x
<u>Step 2: Cross Multiply</u>
10x = 24
<u>Step 3: Divide</u>
10x / 10 = 24 / 10
24/10 = 12/5
x = 2.4
15. would be 1/2 because if you simplify 16/32 to 8/16 (dividing by 2 each time), then to 4/8, then 2/4, and lastly 1/2
you really dont need to do all of that because 16/32 is already 1/2 (16 is half of
32)
16. the answer would be 7/12 because if you divide 21/36 both by 3 you get 7/12 and you cant go any more simpler.
Answer:
a. x = 14
b. Perimeter = 77
Step-by-step explanation:
a. Based on the Triangle Proportionality Theorem:
Cross multiply
Add 2 to both sides
Divide both sides by 2
x = 14
b. Perimeter of ∆QRS = RQ + QS + RS = (2x - 2) + 13 + 17 + (21 - 7) + 7
Plug in the value of x
= (2(14) - 2) + 13 + 17 + 14 + 7
= 26 + 13 + 17 + 14 + 7
= 77