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FromTheMoon [43]
3 years ago
10

In the diagram, what is the measure of angle 1 to the nearest degree?

Mathematics
2 answers:
luda_lava [24]3 years ago
8 0

Answer:

m

Step-by-step explanation:

Step 1

Find the value of x

we know that

(7x+4)\°=88\° ----> by vertical angles

Solve for x

7x=88-4

x=84/7=12\°

Step 2

Find the measure of angle 1

we know that

m ------> by supplementary angles

Substitute the value of x and solve for m<1

m

m

m

julsineya [31]3 years ago
5 0
7x+4=88
7x=84
x=12
7x-12=7*(12)-2=82
angle 1=180-82=98
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Square feet refers to area, so you would need to find the area of the room.

Area of a rectangle = length × width
Length = 12 ft
Width = 12 ft
A = l×w
= 12 ft × 12 ft
= 144 sq. ft

Thus, you would need 144 square feet of carpeting.
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3 years ago
What number : Increased by 130% is 69 ?
e-lub [12.9K]
<h2>Answer:<u> 158.7 is the answer</u></h2><h2><u>or it can be</u> <u>89.7</u></h2>

Step-by-step explanation:

<h2><u>69 + Percentage increase = </u></h2><h2><u>69 + (130% × 69) = </u></h2><h2><u>69 + 130% × 69 = </u></h2><h2><u>(1 + 130%) × 69 = </u></h2><h2><u>(100% + 130%) × 69 = </u></h2><h2><u>230% × 69 = </u></h2><h2><u>230 ÷ 100 × 69 = </u></h2><h2><u>230 × 69 ÷ 100 = </u></h2><h2><u>15,870 ÷ 100 = </u></h2><h2><u>158.7</u></h2><h2><u /></h2><h2><u /></h2><h2><u>69 increased by 130% = 158.7 </u></h2><h2><u>Absolute change (actual difference): </u></h2><h2><u>158.7 - 69 = 89.7</u></h2>
4 0
4 years ago
I have a list of five numbers, where the first number is 1 and the fifth number is 5. Each of the other numbers is equal to one
prohojiy [21]

The sum of all five numbers in the list is 25.

According to the question,

The first number on my list of five numbers is 1, and the fifth is 5. The other figures are all one more than their two nearest neighbors' averages.

Let the list of numbers be 1,x,y,z,5.

As each of the other numbers is equal to one more than the average of its two neighbors.

x=(1+y)/2+1

2x=3+y   -(1)

Similarly,

y=(x+z)/2+1

2y=x+z+2   -(2)

z=(y+5)/2+1

2z=y+7    -(3)

Multiply equation (2) by 2 and then substitute equations (1) and (3),

4y=3+y+y+7+4

4y=2y+14

2y=14

y=14/2

y=7

From equation (1),

2x=3+7

2x=10

x=5

From equation (3),

2z=7+7

2z=14

z=14/2

z=7

The list is: 1,5,7,7,5

Sum of the numbers of list = 1+5+7+7+5 = 25

Learn more about sum here:

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4 0
2 years ago
A soccer stadium has 40,218 seats. For one game 37,842 people came to the stadium . Estimate the number of empty seats at the ga
zaharov [31]

First, subtract 40,218-37,842

ex.    40218

        -37842

      -------------

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Then, round 2,376 to the nearest thousands

2,376 -> 2,000

2,000 is your answer

6 0
3 years ago
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