Answer: See below
Step-by-step explanation:
<u>Given:</u>
AB = CD and BC = DE
<u>To prove:</u>
AC = CE
Statements Reasons
- AB = CD Given
- AB + CB = CD + BC Addition property of equality
- AB + BC = CD + DE Given: BC = DE
- AC = CE By segment addition: AB + BC = AC and CD + DE = CE
Therefore, AC = CE has been proved
The largest angle is opposite the largest side, so
Answer: H
Answer:
round answer is : 10 ft
Step-by-step explanation:
The explanation is in the picture!
To solve for radius use the volume formula and solve for r.
V = πr²h
320π = πr²(20)
320π/π = 20r²
320 = 20r²
320/20 = r²
16 = r²
√16 = r
4 = r
Answer is D. 4 feet.
Hope this helps :)
Answer:
8:3
16:6
Step-by-step explanation:
First, let's check if 9 and 24 have any common factor. If they do have any common ones, we must find the GCF (greatest common factor).
Factors of 9: 1, 3, 9
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
The common factors both of the numbers share and 1 and 3. To find the GCF, simply compare one of the factors to the other.
1 < 3
Now that we know the GCF, we can divide the two numbers in the ratio 24 : 9 by it (3).
24:9
24/3:9/3
<u>8:3</u>
Now that our ratio is simplified, it's going to be much easier to find more ratios that are equivalent. <u>8:3</u> is already one equivalent ratio, but if we multiply each number in the ratio by any other number, we can get a new equivalent ratio. Let's multiply each number in the ratio by 2:
<u>8:3</u>
8 ⋅ 2:3 ⋅ 2
<u>16:6</u>
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So, another equivalent ratio to 24:9 (and <u>8:3</u>) is <u>16:6</u>.
