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ANTONII [103]
4 years ago
14

Segment DE is midsegment of triangle ABC. What is the length of segment DE?

Mathematics
2 answers:
DiKsa [7]4 years ago
7 0
(X+5)2=X+15
2X+10=X+15
X=5
A) 5 :)
e-lub [12.9K]4 years ago
4 0

Answer:

B) 10

Step-by-step explanation:

If DE is midsegment of the triangle, we know that AC measures twice as DE.

In the problem we have that AC = x + 15 and DE = x + 5

Writing this as an equation we have:

x + 15 = 2(x+5)\\x+15=2x +10\\15-10=2x-x\\5=x

Therefore x = 5 and the length of segment DE is:

x + 5 = 5 + 5 = 10

Therefore the correct answer is B) 10

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Step-by-step explanation:

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3 0
3 years ago
Translate each expression<br><br> "the difference of a number and 7."
Mazyrski [523]

Answer:

x-7

Step-by-step explanation:

(x-7) is the translation of the expression "the difference of a number and seven" using x as a placeholder, or variable for "a number"

7 0
3 years ago
Billy has 1 gallon of paint. He is going to pour it into a paint tray that measures 10 inches wide, 14 inches long, and 4 cm dee
V125BC [204]

Answer:

The paint will not fill the tray by 10.53 cubic inches.

Step-by-step explanation:

We will find the volume of the paint tray and compare it with the volume of the gallon.

Given dimensions are:

Length = 14 inches

Width = 10 inches

Depth = 4 cm or \frac{4}{2.54}=1.575 inches

The volume is given by = length x width x depth

Volume = 14\times10\times1.575=220.50 cubic inches

Volume of 1 gallon is given as = 231 cubic inches

We can see that volume of 1 gallon is more than volume of tray.

Difference = 231-220.50=10.5 cubic inches.

So, the paint will not fill the tray by 10.53 cubic inches.

3 0
3 years ago
explain how you could use the greatest common factor of 8 and 20 in the distributive property to write 8 + 20 as a product​
GenaCL600 [577]

Answer: 4(5+2) or 4(2+5)

Step-by-step explanation:

8 = 2*2*2

20 = 2*2*5

4(5+2) = 20+8

6 0
3 years ago
Which expression is equivalent to -1/23 (x+24)​
mr_godi [17]

Answer:

-1/23x+-1.043478261

Step-by-step explanation:

Distribute -1/23 to x and 24

-1/23 times x equals -1/23x

-1/23 times 24 equals -1.043478261

So -1/23(x+24) = -1/23x+-1.043478261

4 0
3 years ago
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