Answer:
A. 3.5
Step-by-step explanation:
Given that AB is parallel to A'B', therefore,
CB/CB' = CA/CA'
CB' = 7
CB = CB' + BB' = 7 + BB'
CA' = 6
CA = CA' + AA' = 6 + 3 = 9
Plug in the values
(7 + BB')/7 = 9/6
(7 + BB')/7 = 3/2
Cross multiply
2(7 + BB') = 7(3)
14 + 2BB' = 21
Subtract 14 from both sides
2BB' = 21 - 14
2BB' = 7
Divide both sides by 2
BB' = 7/2
BB' = 3.5
Answer: s, v, w, & x = 13 y = 20 z = 20 + 13√3
<u>Step-by-step explanation:</u>
First, you need to understand the side lengths of each special triangle in the drawing.
A 45°- 45°- 90° triangle has corresponding sides of a - a - a√2
A 30°- 60°- 90° triangle has corresponding sides of b - b√3 - 2b
The hypotenuse of the 45-45-90 triangle is 13√2, so its legs are 13.
So A F = 13 → s = 13 and w = 13
FB = 13 → x = 13
EC = 13 → v = 13
Since the x-value of C is 20, then the x-value of E is also 20 → y = 20
ED is opposite of the 60° angle of the 30-60-90 triangle so ED is EC√3. Since EC = 13, then ED = 13√3.
AE + ED = AD
20 + 13√3 = AD → z = 20 + 13√3
There are 8 pencils and 16 erasers.
Step-by-step explanation:
Given,
Ratio of pencils to eraser = 1:2
Total number of pencils and erasers = 24
Let,
x be the original number.
Therefore,
Number of pencils = x
Number of erasers = 2x
Thus,
x+2x = 24
Dividing both sides by 3
Number of pencils = 8
Number of erasers = 2(8) = 16
There are 8 pencils and 16 erasers.
Keywords: ratio, division
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