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DENIUS [597]
3 years ago
8

Are the following figures similar? Rectangles ABCD and EFGH are shown. AB equals 5. BC equals 25. EF equals 3. FG equals 15. Yes

; the corresponding angles are congruent No; the corresponding angles are not congruent Yes; the corresponding sides are proportional No; the corresponding sides are not proportional
Mathematics
2 answers:
Tatiana [17]3 years ago
8 0

Answer:

Yes; the corresponding sides are proportional

Step-by-step explanation:

If two figures are similar, the lengths of their sides are proportional.  This means if we set up a proportion with the sides we are given and cross-multiply, we get a true statement at the end of it.

Using the similarity statement ABCD~EFGH, we will compare AB to EF and BC to FG:

5/3 = 25/15

Cross multiply:

5(15) = 3(25)

75 = 75

We got a true statement, so the sides are proportional.

svlad2 [7]3 years ago
7 0

The correct answer among all the choices is C) Yes; the corresponding sides are proportional. This is the correct answer because the corresponding sides have a similar relationship of 1:5. We can see this relationship when dividing 25 by 5 & dividing 15 by 3, since their both equal to 5, we know the figures are similar. I hope I answered this question to your satisfaction. Have a good day!

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6 cookies cost 36 dollars, what is the price of 1 cookie
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1 Cookie = $6

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6/36 = 1 cookie for $6

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A leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours. After the leak is fixed, the height of th
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Assuming the leak took 2 hours to fix, the original height of the pool is 5 feet.

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3 years ago
Janet and Patrick surveyed a total of 219 people. Out of the 137 girls who were surveyed, 28 said summer was their favorite seas
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Answer: See figure 2 in the diagram below for the table.

==========================================================

Explanation:

The steps are fairly lengthy to explain in words, but the process is fairly straightforward. Start with figure 1 in the diagram below. The letters A through O represent the steps you'll take to replace them. For instance, you'll replace A with 219 since that's the grand total. Then B is replaced with 137 since we're told that 137 girls were surveyed. Then C gets replaced with 219-137 = 82, and so on. Use arithmetic (adding and subtracting) to gradually replace each letter with the proper number as figure 2 shows. The alphabetical order directly corresponds to the order in which the values are given by your teacher (eg: 219 is first, then 137 next, and so on).

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7 0
2 years ago
Simplify<br> 12 cm : 60 mm
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Answer:

cm^3/5

Step-by-step explanation:

STEP 1:             m

Simplify   ——

           60

Equation at the end of step 1:           m

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STEP 2 :Multiplying exponential expressions : 2.1    m2 multiplied by m1 = m(2 + 1) = m3.

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