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a_sh-v [17]
2 years ago
12

Solve for x for this triangle (geometry)

Mathematics
1 answer:
Olegator [25]2 years ago
3 0

Answer:

x=60^{\circ}

Step-by-step explanation:

The are 180 degrees in a triangle and 180 degrees on a line. Therefore, call the third angle of the triangle y.

The following equation solves for y:

y+119=180,\\y=61^{\circ}

Solving for x:

x+59+61=180,\\x=\boxed{60^{\circ}}

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If sales are $425,000, variable costs are 62% of sales, and operating income is $50,000, what is the contribution margin ratio?
Dmitry_Shevchenko [17]

In an internal operating income statement, the form is as such:

(1) Sales (or Revenue) - Total Variable Costs = Contribution Margin;

(2) Contribution Margin - Total Fixed Costs = Operating Income

and

(3) Contribution Margin Ratio = Contribution Margin/Sales

The first equation helps us out. Sales is the whole amount for this statement, or 100%. We know variable costs are 62% and the rest goes to the Cont. Margin.

100% - 68% = 32% (choice A)

4 0
3 years ago
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Write and solve the following expression:<br><br>The sum of 7 and twice a number is 15
Nastasia [14]

Answer:

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2 years ago
HELP!!! GEOMETRY! What is ∠ P T R?
kaheart [24]

Answer:

Angle PTR and angle PTS are supplementary angles. Lines PQ and RS intersect at an angle less than a right angle. Angle PTR and angle PTS are complementary angles.

Step-by-step explanation:

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2 years ago
Id like some assistance please.
VladimirAG [237]
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3 years ago
Can someone please help me with this question and show the steps?
Katena32 [7]
<h2>Answer:</h2>

D. \ 408in^2

<h2>Step-by-step explanation:</h2>

This is a square pyramid because it's a solid having a square base. The point up the pyramid is called the apex and is directly above the middle of the square base. The surface area of a solid is the total area of its outer surface. If we unfold this pyramid, we'll get one square and four identical triangles. So the surface are can be calculated as follows:

s=s_{square}+4s_{triangle}

FOR THE SQUARE:

s_{square}=L^2 \\ \\ L=12in \\ \\ s_{square}=12^2=144in^2

FOR THE TRIANGLE:

s_{triangle}=\frac{bh}{2} \\ \\ b=12in \\ h=11in \\ \\ s_{triangle}=\frac{12\times 11}{2}=66in^2

Finally:

s=s_{square}+4s_{triangle} \\ \\ s=144+4(66) \\ \\ s=144+264 \\ \\ \boxed{s=408in^2}

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3 years ago
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