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ioda
2 years ago
11

The following angles are supplementary find the missing angle measure

Mathematics
1 answer:
nekit [7.7K]2 years ago
6 0

Answer:

<em>x = 62°, y = 103°</em>

Step-by-step explanation:

<u>Supplementary Angles</u>

Two angles are called <em>supplementary</em> when their measures add up to 180 degrees.

The image shows two pairs of supplementary angles. We have to find the value of the unknown variable.

The first drawing shows supplementary angles x and 118°. They must satisfy the equation:

x + 118° = 180°

Subtracting 118°:

x = 180° - 118°

x = 62°

From the second drawing, we set up the equation:

y + 77° = 180°

Subtracting 77°:

y = 180° - 77°

y = 103°

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Step-by-step explanation:

because it looks like angle x and the 10 degree angle are vertical to the 38 degree angle so it would be 38-10=28 degrees.

3 0
2 years ago
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What is 38,800 rounded to the nearest hundred mark all that apply?
SashulF [63]
38,800 is the answer

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3 years ago
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4 0
3 years ago
6. For a particular pickup truck, the percent markup is known to be 115% based on cost to the seller. If the seller paid $15,800
Neko [114]

Answer:

  • <u>53.5 %</u>

Explanation:

You can convert the percent markup into a multiplicative factor in this way:

Base price:                     15,800 . . . (cost to the seller)

Percent mark up:           115% . . .  (based on the cost to the seller)

Sale price:                      15,800 + 115% of x = 15,800 + 115 × 15,800 /100 =

                                        = 15,800 + 1.15 × 15,800 = 15,800 (2.15) = 33,970

The markup is:

  • Markup = price paid by the seller - cost to the seller = 33,970 - 15,800   = 18,170 (notice that this is 115% of 15,800)

And <em>the percent markup based on the sale price is</em>:

  • % = (markup / sale price) × 100 = (18,700 / 33,970) × 100 =

            = 53.49 %

Rounding to the nearest tenth percent that is 53.5 %.

4 0
3 years ago
13,000 inches equals how many miles
Nataly [62]

Answer:

0.205177 mi

Step-by-step explanation:

Step 1: Find conversions

12 in = 1 ft

5280 ft = 1 mi

Step 2: Use Dimensional Analysis

13000 \hspace{2} in(\frac{1 \hspace{2} ft}{12 \hspace{2} in} )(\frac{1 \hspace{2} mi}{5280 \hspace{2} ft} )

0.205177 mi

8 0
3 years ago
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