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andriy [413]
3 years ago
10

Use the distributive property to simplify the following expression: 3 (2 + 5z)​

Mathematics
1 answer:
viktelen [127]3 years ago
7 0
The answer is 6+15z
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Write an inequality and use substitution to solve the following problem:
nekit [7.7K]

They already spent $2000, and they only had $5100

Subtract

5100 - 2000 = 3100

$3,050 is your answer, because it is the only one that is less than 3100

hope this helps

7 0
3 years ago
What is the vertex of the quadratic function given in the table?
likoan [24]

Answer:

The vertex is (-3,-2)

The vertex is basically the very top or very lowest, so you will notice how values around (-3,-2) are relatively the same in the y coordinate, but -2 is the "highest/lowest" so that's how you know it's a vertex.

If you try picturing the points in your head, you will see it make a U and at the bottom of the U is the vertex.

7 0
2 years ago
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What is the value of x?<br> What is the measure of Angle WXZ?
bija089 [108]

Please find attached photograph for your answer

3 0
3 years ago
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If ef bisects angle ceb,angle cef=7x+31 and angle feb=10x-3
Nastasia [14]

Given : Angle  < CEB is bisected by EF.

< CEF = 7x +31.

< FEB = 10x-3.

We need to find the values of x and measure of < FEB, < CEF  and < CEB.

Solution: Angle  < CEB is bisected into two angles < FEB and < CEF.

Therefore,   < FEB = < CEF.

Substituting the values of < FEB and < CEF, we get

10x -3 = 7x +31

Adding 3 on both sides, we get

10x -3+3 = 7x +31+3.

10x = 7x + 34

Subtracting 7x from both sides, we get

10x-7x = 7x-7x +34.

3x = 34.

Dividing both sides by 3, we get

x= 11.33.

Plugging value of x=11.33 in < CEF = 7x +31.

We get

< CEF = 7(11.33) +31 =  79.33+31 = 110.33.

< FEB  = < CEF =  110.33 approximately

< CEB = < FEB +  < CEF  = 110.33 +110.33 = 220.66 approximately



7 0
3 years ago
Four times the lesser of two consecutive even integers is 12 less than twice the greater number. Find the integers.
valkas [14]
The numbers are: 2n and (2n+2)
we can suggest this equation:
4(2n)=2(2n+2)-12

We compute this equation:
8n=4n+4-12
8n-4n=-8
4n=-8
n=-8/4
n=-2

we compute the numbers:
2n=2(-2)=-4
2n+2=-4+2=-2


answer: the numbers are -4 and -2.
5 0
4 years ago
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