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Sergeu [11.5K]
3 years ago
9

Help me pls find m<b. also to the best of your ability, pls explain it in your answer.

Mathematics
1 answer:
rewona [7]3 years ago
3 0

The measure of angle B is equal to 60 degrees.

In order to find this, we can first note that the angle C (in the right side triangle) is equal to 80 degrees. We can tell this because it creates a straight line with the other angle C and therefore the two combined give us 180 degrees.

Then we can add angle A, B and C together in the right side triangle to get 180 degrees since they are all the measures of angles in a triangle.

A + B + C = 180

2x + 3x + 80 = 180

5x + 80 = 180

5x = 100

x = 20

Now that we have the x value, we can plug into the equation for B.

B = 3x

B = 3(20)

B = 60

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8 0
3 years ago
Jill and Erika made 4 gallons of lemonade for their lemonade stand. How many quarts did they make if then charge $2:00 per quart
notka56 [123]

Answer:

Number of quarts=16

Money earned=$32

Step-by-step explanation:

Given

  • 4 Gallons of lemonade is prepared
  • They charge $2 for a quart

1 Gallon= 4 Quarts

Therefore Number of quarts

= \text{number of gallons} \times 4\\= 4 \times 4\\=16

Therefore Number of quarts of lemonade prepared by them = 16 quarts

As they charge $2 for each quart

⇒

Total money made if they sell it all

=\text{number of quarts} \times 2\\= 16 \times 2\\=32

Therefore, if they are to sell all the lemonade that they prepared

They would earn=$32

5 0
3 years ago
An angle whose measure is –302° is in standard position. In which quadrant does the terminal side of the angle fall?
juin [17]

Answer: Quadrant 1 (northeast quadrant)

=================================================

Explanation:

Add on 360 degrees to do a full rotation

-302+360 = 58

So angles -302 degrees and 58 degrees are pointing in the same direction. These angles are in quadrant 1, which is the northeast quadrant

Note: because the angles -302 and 58 point in the same direction, we consider these angles to be coterminal.

3 0
3 years ago
Stefanie is painting her bedroom. She can paint 12 1/3 square feet in 1/5 of an hour. How many square feet can she paint in one
Mnenie [13.5K]

Answer:

37

Step-by-step explanation:

8 0
3 years ago
Determine the quotient: (22.8 × 10–3) ÷ (5.7 × 10–6)
lana66690 [7]

Answer:

0.399

Step-by-step explanation:

The key to doing this problem properly lies in knowing and following order of operations rules.

Here we must perform mult. and div.  before  addition and subtr., but even before that we must do all work enclosed in parentheses first.

(22.8 × 10–3) is evaluated by doing the mult. first, and then subtracting 3:

(228-3) = 225

and

(5.7 × 10–6) is evaluated by doing the mult. first, then subtracting 6:

(570-6) = 564.

Finally, we divide 225 by 564, obtaining 0.399 (after rounding off to three decimal places).


8 0
3 years ago
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