Answer:
c = 31.5
Step-by-step explanation:
Given c varies directly as then the equation relating them is
c = k ← k is the constant of variation
To find k use the condition c = 14 when d = 64, then
14 = k × = 8k ( divide both sides by 8 )
1.75 = k
c = 1.75 ← equation of variation
When d = 324 , then
c = 1.75 × = 1.75 × 18 = 31.5
Answer:
<u>Let's verify is the corresponding sides have same ratio:</u>
- ΔABC, sides: 6, 9, 11
- ΔXYZ, sides: 21, 31.5, 38.5
<u>Ratios:</u>
- 6/21 = 2/7 (divide by 3)
- 9/31.5 = 2/ 7 (divide by 4.5)
- 11/38.5 = 2/7 (divide by 5.5)
The ratios are same, so the triangles <u>are similar</u>
- Yes, the sides are all proportional
The scale factor (ΔABC to ΔXYZ) is <u>2/7</u> (or ΔXYZ to ΔABC is 7/2 = <u>3.5</u>)
Answer:
y= (5/4)x I'm pretty sure
634.4 so the standard form is 600 + 30 + 4 + 0.4