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Ghella [55]
3 years ago
11

In the figure p || q. Find < mPLEASE HELPPP!

Mathematics
1 answer:
RideAnS [48]3 years ago
8 0

Option B:

m∠1 = 70°

Solution:

The reference image is attached below.

Extend the line v and t which intersect at p and q respectively.

To find the measure of angle ASB:

Sum of the angles in a straight line = 180°

m \angle A S B+116^{\circ}=180^{\circ}

m \angle A S B=180^{\circ}-116^{\circ}

m \angle A S B=64^{\circ}

Given p || q and 134° and ∠SBC are corresponding angles.

If two lines are parallel, then the corresponding angles are congruent.

∠SBC = 134°

∠SBA and ∠SBC form a linear pair.

∠SBA + ∠SBC = 180°

∠SBA + 134° = 180°

∠SBA = 46°

Sum of the interior angles of the triangle is 180°.

In ΔSAB,

m \angle A S B+m \angle S A B+m \angle S B A=180^{\circ}

64^{\circ}+m \angle S A B+46^{\circ}=180^{\circ}

m \angle S A B=180^{\circ}-110^{\circ}

m \angle S A B=70^{\circ}

∠1 and ∠SAB are vertical angles.

Vertical angles are congruent.

m∠1 = m∠SAB

m∠1 = 70°

Option B is the correct answer.

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Step-by-step explanation:

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3 years ago
A company provided the following data: Selling price per unit: 60 Variable cost per unit 20 Total fixed costs 400,000 HOw many u
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Answer:

The company needs to sell 9000 units in order to turn a profit of $40,000

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

From the question we can get some important hints before creating our formula. First the Selling Price will be profit so it will be a positive number, but both unit cost and fixed costs are losses so they will be negative values in our formula. Also our formula will depend on the amount sold which we can represent as the variable x. With these hints we can create our formula as the following

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Now that we have our formula the question asks how many units need to be sold in order to earn a profit of $40,000. We can calculate this by replacing the $40,000 with y and solving for x like so,

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