<h3>
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
Answer:
Position from point A= 383.33 meters
Step-by-step explanation:
A concept to know is that the integral of velocity will give you the distance traveled.
where the interval of integration are the starting time and ending time.
I let the starting time be t₀ = 0, and the ending time t₁=10 for the 10 seconds that it traveled.
I did the integration and got 383.33m traveled in 10 seconds.
So the answer is 383.33 meters.
Ignore the final answer in the image. I misread the question.
Answer: Y=-1 which means on a graph it would be a horizontal line on the point of (0,-1)
Step-by-step explanation:
Answer: d) 2730
<u>Step-by-step explanation:</u>
1st movie and 2nd movie and 3rd movie
15 videos × 14 remaining videos × 13 remaining videos = 2730
1) find the lcd the lcd is 12
2)rewrite the fractions 1/4 and 2/3 using 12 as the denominator (second column) you get 3/12 and 8/12
3) since its confusing to subtract 8/12 from 3/12 you need to borrow one form the 126 doing so is the same as taking 12/12 from 126 this change to 125 and the 12/12 adds to the 3/12 making it 15/12
4) subtract 8/12 form 15/12 to get 7/12
5) subtract 78 form 125 to get 47
6) the answer is 47 7/12
