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Gelneren [198K]
3 years ago
6

1) The length of a rectangle is 5 feet more than 3 times its width. If the area is 182

Mathematics
1 answer:
Rom4ik [11]3 years ago
6 0

Answer:

answer is attached on the photo

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If AB = 10, AD = 8, and AE = 12, what is the<br> length of EC?
Karolina [17]

Answer:

AB is 16 units.

Step-by-step explanation:

Given:

AE = EC

BF = FC

EF = 8 and DF = 10

To Find:

AB = ?

Solution:

Mid Point Theorem:

The Midpoint Theorem states that "the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side".

AE = EC .....Given

Therefore E is the Mid Point of AC.

BF = FC .....Given

Therefore F is the Mid Point of BC.

Therefore,

EF || AB            ........................Mid Point Theorem.

         ..............Mid Point Theorem.

Substituting the values we get

Therefore AB is 16 units.

Step-by-step explanation:

6 0
3 years ago
Solve the system by substitution 5x+3y=8 3x+y=8
Yakvenalex [24]
3x+y=8
y=8-3x

5x+3(8-3x)=8
5x+24-9x=8
-4x+24=8
-4x=-16
x=4

5x+3y=8
5(4)+3y=8
20+3y=8
3y=-12
Y=-4

5x+3y=8
5(4)+3(-4)=8
20+-12=8
8=8
4 0
3 years ago
Use the properties of exponents to rewrite the expression.<br> (-3yz)(-3yz)(-3yz)(-3yz)
Lera25 [3.4K]

Answer:

Answer is 81y^4z^4

Step-by-step explanation:

The expression is (-3yz) (-3yz) (-3yz) (-3yz).

Since all the four terms have power 1:

(-3yz)^1 (-3yz)^1 (-3yz)^1 (-3yz)^1

We know that we can add the powers if the terms have same base

So,

=(-3yz)^1+1+1+1

=(-3yz)^4

=(-3)^4(y)^4(z)^4.

If the power is an even number than the negative sign changes into positive sign.

=3^4y^4z^4

=81y^4z^4

Thus the answer is 81y^4z^4....

3 0
3 years ago
31/8 as a mixed number?
Katyanochek1 [597]
\frac{31}{8}=\frac{24}{8}+\frac{7}{8}=3+\frac{7}{8}=\boxed{3 \frac{7}{8}}
5 0
3 years ago
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Students reported volunteering at the animal shelter during the last 6 months for 25, 36, 31, and 32 hours. What is the mean abs
Dima020 [189]
31 is the answer because if you add all the numbers and then divide by the number of
5 0
2 years ago
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