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Basile [38]
3 years ago
7

Please help me with this

Mathematics
1 answer:
Anna007 [38]3 years ago
6 0

Answer:

x = 5

m∡B = 66°

Step-by-step explanation:

these two angles are same-side interior angles, which are supplementary

8x + 74 + 2x + 56 = 180

10x + 130 = 180

10x = 50

x = 5

m∡B = 2(5) + 56 = 66°

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The sum of three consecutive integers is 90. Find the three numbers by letting x
Law Incorporation [45]

Answer:

x = 28

Step-by-step explanation:

let us take three consecutive numbers be (x + 1), (x + 2) and (x + 3)

Now,

The sum of three consecutive integers is 90

i.e.,

(x + 1) + (x + 2) + (x + 3) = 90

x + 1 + x + 2 x + 3 = 90

3x + 6 = 90

3x = 90 - 6

3x = 84

x = 84/3

x = 28

x = 28Thus, The value of x is 28

<h2><em><u>VERIFICATION</u></em><em><u>:</u></em></h2>

(x + 1) + (x + 2) + (x + 3) = 90

(28 + 1) + (28 + 2) + (28 + 3) = 90

28 + 1 + 28 + 2 + 28 + 3 = 90

90 = 90

8 0
4 years ago
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Find the surface area of the rectangular prism
Lapatulllka [165]

Answer:

158 in

Step-by-step explanation:

front/back faces: 8 * 3 = 24in

side faces: 8 * 5 = 40in

top/bottom faces: 3 * 5 = 15in

2 * (24 + 40 + 15) = 158in

5 0
3 years ago
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What is the area of the real store in square inches? What is the area of the real store in square feet? What are the dimensions
AysviL [449]

Answer:

<u>The dimensions of the real store are 80 times bigger as per scale:</u>

  • 1.875 in * 80 = 150 in = 150/12 ft = 12.5 ft
  • 2.25 in * 80 = 180 in = 180/12 ft = 15 ft

<u>The area of the real store:</u>

  • 150 in * 180 in = 27000 in²
  • 12.5 ft * 15 ft = 187.5 ft²

6 0
3 years ago
PLS HELP ME!!!!! Find the sum of the first 100 terms of the arithmetic sequence with the first term 2 and the common difference
ipn [44]

Answer:

24,950.

Step-by-step explanation:

You can use the arithmetic series formula (a sequence is the list of numbers; a series is the summation of the list).

To find the sum...

(100 / 2) (2 * 2 + (100 - 1)5) = 50 * (4 + 99 * 5) = 50 * (4 + 495) = 50 * 499 = 24950.

Hope this helps!

3 0
3 years ago
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A sofa that cost $570 has 7.5% sales tax. Calculate the amount of sales tax a customer has to pay to buy the sofa?
Vera_Pavlovna [14]

Answer:

Total: $612.75

Tax amount: $42.75

Step-by-step explanation:

divide 7.5 by 100=0.075

0.075+1= 1.075

multiply that by 570=612.75

to find tax amount, subtract 570 from 612.75

BOOM!

Simple as that.

4 0
4 years ago
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