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musickatia [10]
3 years ago
6

Write a two-column proof for the following conjuncture. You may not need to use all of the rows of the two-column table provided

below. You may also add additional rows if needed given parallelogram ABCD
(Given 7 Columns on Assignment)

Prove: angle A and angle B are supplementary
Angle B and angle C are supplementary.​

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0

Answer:

Given ABCD be a parallelogram

Then, AD // BC and AB is a transversal.

Because of the sum of the interior angles on the same side of the transversal is 180°

So, ∠A + ∠B = 180°

∴ Angle A and angle B are supplementary.

<u>Also</u>,

AB // CD and CB is a transversal.

Because of the sum of the interior angles on the same side of the transversal is 180°

So, ∠B + ∠C = 180°

∴ Angle B and angle C are supplementary.

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-8x = 140<br><br> Solve for x
Alekssandra [29.7K]

Answer:

<h2><em><u>x = -17.5</u></em></h2>

Explanation:

-8x = 140

  • Divide both sides by -8

-8x / -8 = 140 / -8

x = ⁻³⁵⁄₂

  • Simplify

x = -17.5

6 0
3 years ago
Read 2 more answers
If the markup is 30% on a cell phone that has a<br> selling price of $520, what is the initial cost?
Olegator [25]

Answer:

The initial cost of the cell phone was $364

Step-by-step explanation:

Since there was a 30% markup, 70% of the new cost is the initial cost. Multiply 520 by 0.7 on a calculator and you get 364

7 0
3 years ago
(1) Ax + By = C (2) Dx + Ey = F Jim is trying to solve the system of equations. He begins by multiplying equation (1) by D and e
attashe74 [19]

Answer:

No, Angela is not correct.

As the method Jim was performing will also lead to the solution.

Step-by-step explanation:

We are given first equation as:

                  Ax + By = C

Second equation is:

                   Dx + Ey = F

Jim solved the equation as:

He begins by multiplying equation (1) by D and equation (2) by A.

and so by subtracting both the equations he will obtain a value of y.

and then put the y-value in any of the given two equations to obtain the value of x.

Angela Method:

you should have multiplied equation (1) by E and equation (2) by B.

and when she will subtract both the equations she will get the value of x first and then when she will put the value of x in any of the given equation she will obtain the value of y.

But both will get a value for x and y.

Hence, the method Jim was performing was also correct.

8 0
3 years ago
Read 2 more answers
Help plz.............................................
Salsk061 [2.6K]

Answer:

d

Step-by-step explanation:

I calculated it

3 0
3 years ago
Please help me.i don't get it.
alukav5142 [94]

Answer:

See below.

Step-by-step explanation:

The addition method is a good choice in this case since you have x in one equation and -x in the other equation, and x and -x add to zero, eliminating x.

 x - 5.5y = -14

-x + 2.6y = 8.2

Add the equations. x and -x ad to zero, eliminating x. Then solve for y.

-2.9y = -5.8

Divide both sides by -2.9

y = 2

Substitute 2 for y in the first original equation, and solve for x.

x - 5.5y = -14

x - 5.5(2) = -14

x - 11 = -14

x = -3

Solution: x = -3; y = 2

Since the coefficients of y in the two original equations are not opposites, the addition method would not be the best method to use to solve for y first.

4 0
2 years ago
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