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Maurinko [17]
3 years ago
6

In the image below, lines n and mare parallel. What is the measure of angle 4?

Mathematics
2 answers:
Marina CMI [18]3 years ago
6 0
I believe it’s a.98
You subtract the 82° from 180, and get 98.
Serhud [2]3 years ago
5 0

Answer:

a.) 98°

Step-by-step explanation:

Angle 5 and angle 8 (82°) are supplementary angles. This means that their sum will make a straight angle of 180°. Make an equation:

82+x=180

Solve for x, the value of angle 5:

x=180-82\\\\x=98

Angle 5 has a  measure of 98°.

Now we know the measure of angle 5. Angle 4 and angle 5 are alternate interior angles, so they are congruent. Therefore, angle 4 has a measure of 98°.

:Done

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Answer :

It is 5 1/2
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A retiree invests $5,000 in savings plan that pays 4% per year. What will the account balance be at the end of the first year ?
Ira Lisetskai [31]
$5000 + 4% = $5000.04
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The perimeter of a rectangle is 254 cm. Its length is 55 cm. What is the width of the rectangle with a variable?
Elanso [62]

Answer:

Rectangle w=72

Step-by-step explanation:

Rectangle

Solve for 

width

w

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72

cm

l

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cm

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5 0
3 years ago
Pls help if your kind &lt;3 (picture)
AlladinOne [14]

Answer:

1: x=23.313708 2: B x = -13.2 3: x = 152

All the problems examples at the bottom

Step-by-step explanation:

1: 12x=−3(4−x)

12x=3x−12

Step 1: Divide both sides by 12.

12x12=3x−1212

x=14x−1

Step 2: Solve Square Root.

x=14x−1

x=(14x−1)2(Square both sides)

x=116x2+−12x+1

x−(116x2+−12x+1)=116x2+−12x+1−(116x2+−12x+1)(Subtract 1/16x^2+(-1)/2x+1 from both sides)

−116x2+32x−1=0

x=−b±b2−4ac2a(Use quadratic formula with a=-0.0625, b=1.5, c=-1)

x=−(1.5)±(1.5)2−4(−0.0625)(−1)2(−0.0625)

x=−1.5±2−0.125

x=0.6862915010152388,23.31370849898476

2: 3+2.7x=9.6+3.2x

Step 1: Simplify both sides of the equation.

2.7x+3=3.2x+9.6

Step 2: Subtract 3.2x from both sides.

2.7x+3−3.2x=3.2x+9.6−3.2x

−0.5x+3=9.6

Step 3: Subtract 3 from both sides.

−0.5x+3−3=9.6−3

−0.5x=6.6

Step 4: Divide both sides by -0.5.

−0.5x−0.5=6.6−0.5

x=−13.2

3: 9+34x=78x−10

Step 1: Simplify both sides of the equation.

9+34x=78x−10

9+34x=78x+−10

34x+9=78x−10

Step 2: Subtract 7/8x from both sides.

34x+9−78x=78x−10−78x

−18x+9=−10

Step 3: Subtract 9 from both sides.

−18x+9−9=−10−9

−18x=−19

Step 4: Multiply both sides by 8/(-1).

(8−1)*(−18x)=(8−1)*(−19)

x=152

I really hope this helped you

4 0
3 years ago
The perimeter of a triangular window is 141 inches. The ratio of the side lengths of the window is 11:18:18. What are the side l
vaieri [72.5K]

The perimeter of a triangular window is the sum of its side lengths

The side lengths of the window are 33 inches, and 54 inches

<h3>How to determine the side lengths?</h3>

The ratio is given as:

Ratio = 11: 18 : 18

Rewrite as:

Ratio = 11x: 18x : 18x

Express as sum

Sum = 11x + 18x + 18x

Sum = 47x

The perimeter is 141 inches.

So, we have:

47x = 141

Divide both sides by 47

x = 3

Recall that:

Ratio = 11x: 18x : 18x

So, we have:

Ratio = 11*3: 18*3 : 18* 3

Ratio = 33: 54 : 54

Hence, the side lengths of the window are 33 inches, and 54 inches

Read more about perimeter at:

brainly.com/question/17297081

3 0
2 years ago
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