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grandymaker [24]
2 years ago
6

AB is the angle bisector of CAD. Solve for the missing variable?

Mathematics
1 answer:
Alika [10]2 years ago
4 0

Answer:

x=8^\circ

Step-by-step explanation:

A bisector is the line that divides an angle (which in this case is \angle CAD) exactly in half. Therefore, \angle CAB = \angle BAD and as such we can solve for x:

\angle CAB &= \angle BAD\\33^\circ &= 4x + 1^\circ\\4x = 32^\circ\\x = 8^\circ

and we are done.

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I have no idea sorry
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2 years ago
BRAINLYYYY PLUS 100 PointsThe difference between two numbers is 84 and their sum is 278. What are the numbers? Hint( answer is x
den301095 [7]

Answer:

x = 181 and y = 97

Step-by-step explanation:

let called the first number is x

the second number would be called y

We are given that:

x + y = 278 (1)

x = y + 84 (2)

Let change x in (2) into (1):

y + 84 + y = 278

2y + 84 = 278

Subtract 84 from both side, we got:

2y + 84 - 84 = 278 - 84

2y + 0 = 194

Divide both side by 2, we got:

2y / 2 = 194 / 2

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Because y = 97 and x + y = 278 so x would equal:

x + 97 = 278

Subtract 97 from both side, we got:

x + 97 - 97 = 278 - 97

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Hope this helped :3

4 0
2 years ago
Which Is A Correct First Step For Solving This Equation? -5(4x-7)+8=3x
nordsb [41]

I'm not sure if this is a multiple choice question, so I will just solve the equation.

-5 (4x - 7) + 8 = 3x

-5 (4x + (-7)) + 8 = 3x

1. Distributive Property of Multiplication

(-5)(4x) + (-5)(-7) + 8 = 3x

2. Simplify

-20x + (-35) + 8 = 3x

3. Simplify again

-20x - 27 = 3x

4. Add 27 to both sides and then subtract 3x from both sides to get all the x's by themselves on the same side

-20x - 27 + 27 = 3x + 27

-20x - 3x = 3x + 27 - 3x

5. Simplify

-23x = 27

6. Divide

-23x / -23 = 27 / -23

7. Simplify

Answer:

<h2>x = - 27/23 ≈ -1.17</h2>

Hope this helps!

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xxTIMURxx [149]

Answer:

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Step-by-step explanation:

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Klio2033 [76]

Answer:

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