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Y_Kistochka [10]
3 years ago
7

Number 7 and 8 please

Mathematics
1 answer:
Ierofanga [76]3 years ago
6 0

7. You are given two angles and their sum, all in terms of x. Set the sum equal to the sum:

... (4x -1) +(2x +15) = (8x +8)

... 6 = 2x . . . . collect terms, subtract 6x+8

... 3 = x . . . . . divide by 2

To find the angles, fill in this value for x

∠AOB = 4·3 -1 = 11

∠BOC = 2·3 +15 = 21

∠AOC = 8·3 +8 = 32

8. Same deal.

... ∠BOC + ∠COD = ∠BOD

... (3x -10) +(8x +13) = (12x -6)

... 9 = x . . . . . . . . subtract 11x-6

And the angle values are ...

∠BOC = 3·9 -10 = 17

∠COD = 8·9 +13 = 85

∠BOD = 12·9 -6 = 102

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Answers:
22.)D
23.)D

How?
Explaining number 22:
Well, let’s disprove each one of them.
A.) A is saying 6x=7. Even if we simplify that, it wouldn’t make any sense in what we are trying to do. That equation is equal to x=0.86(estimated to nearest tenth)

B.) B says that 6x=3. When we simplify this, we get x=0.5. That isn’t the number we want, so we know B isn’t right

C.) C is equivalent to 2x+2=6. Let’s simplify since it is multi-step.
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2x=6
x=3
Since we want x to be six, this wouldn’t be the answer either.

D.) D is saying 2x=12. When simplified, this becomes x=6. BINGO THERE IS OUR ANSWER




Explaining 23:
For this, I also used process of elimination.

Remember that x is equal to 2.5

A.)
x+3=5.5

2.5+3=5.5
5.5=5.5
That works.

B.)
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That works.

C.)
2.5/2=1.25
1.25=1.25
That works

D.)
x-10=7.5
2.5-10=7.5
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