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Answer: Choice D) 7.5 cm</h3>
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Explanation:
We are told that quadrilateral ABCD is similar to quadrilateral EFGH.
The order of the four letter sequence is important.
- For ABCD, we have AB as the first pair of letters.
- For EFGH, we have EF as the first pair of letters.
Therefore, AB and EF are corresponding sides.
So AB = 10 and EF = x pair up together. We can form the ratio AB/EF which becomes 10/x.
The diagram shows that AD = 8. Notice that A and D are the first and last letters of ABCD. The first and last letters of EFGH are E and H. We can see that AD and EH correspond to one another because of this.
AD = 8 and EH = 6 forming the ratio AD/EH = 8/6
Because the quadrilaterals are similar, the corresponding ratios must be the same. Therefore, AB/EF is the same as AD/EH.
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Let's set up a proportion to solve for x
AB/EF = AD/EH
10/x = 8/6
10*6 = x*8
60 = 8x
8x = 60
x = 60/8
x = 7.5 Answer is choice D
For this problem, you would replace x with 7 then solve.
3/ (7+2) - sqrt(7-3) =
3/9 - sqrt(4) =
1/3 - 2 = -1 2/3 = -1.67
f(7) = 1
First you would put both numbers into improper fractions.
3 1/3 = 10/3 and 2 1/4 = 9/4
Multiply 10/3 * 9/4
10*9 = 90 and 3 * 4 =12
So 90/12 is your fraction. Reduce it, 7 6/12
7 6/12 = 7 1/2
So your answer is 7 1/2
Hope I helped :)
Answer:
20
Step-by-step explanation:
replace k with 13 then add so it should be 20
f(x)=x-4f(3)=3-4so f(3)= -1