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Makovka662 [10]
3 years ago
15

Find the value of x in the given figure​

Mathematics
1 answer:
Andrew [12]3 years ago
7 0

Answer:

x = 32

Step-by-step explanation:

(2x + 60) + (3x - 40) = 180  because they are supplementary angles

5x + 20 = 180

5x = 160

x = 32

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The sum of two numbers is 61 and the difference is 13. What are the numbers?
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The number 61 is larger because it a bigger number than 13 and 13 is smaller because it more smaller number than 61
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8y-2x=-72 in slope form
Alla [95]

Answer:

y=1/4x-9

Step-by-step explanation:

Slope-intercept form is y=mx+b.

8y-2x=-72

Add 2x to both sides

8y=2x-72

Divide both sides by 8.

y=1/4x-9

HTH :)

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The random variable X = the number of vehicles owned. Find the expected number of vehicles owned. Round answer to two decimal pl
Lelechka [254]

Answer:

The expected number of vehicles owned to two decimal places is: 1.85.

Step-by-step explanation:

The table to the question is attached.

E(X) =∑xp(x)

Where:

E(X) = expected number of vehicles owned

∑ = Summation

x = number of vehicle owned

p(x) = probability of the vehicle owned

E(X) = (0 * 0.1) + (1 * 0.35) + (2 * 0.25) + (3 * 0.2) + (4 * 0.1)\\E(X) = 0 + 0.35 + 0.50 + 0.60 + 0.4\\E(X) = 1.85

The expected number of vehicles owned is 1.85.

4 0
3 years ago
10x + 3y = 19<br> y = 2x + 5
sleet_krkn [62]

Answer:

x = 1/4

y = 5 2/4

Step-by-step explanation:

Given two equations

1. 10x + 3y = 19

2. y = 2x + 5

Substitute 2x + 5 for y in the first equation

We have

10x + 3y = 19

10x + 3(2x + 5) = 19

Expand the bracket

10x + 3 X 2x + 3 X 5 = 19

10x + 6x + 15 = 19

16x + 15 = 19

Subtract 15 from both sides to eliminate 15 on the left

16x + 15 - 15 = 19 - 15

16x = 4

Divide both sides by 16 to isolate x

16x/16 = 4/16

x = 1/4

Now, substitute 1/4 for x in either equation to get y.

Using equation 2 , we have

y = 2x + 5

= 2(1/4) + 5

= 2/4 + 5

LCM of the denominator is 4.

Divide the LCM by the denominators and multiply the results by the numerators. Also, the LCM becomes the denominator of the results

Therefore

= 2 + 20/4

= 22/4

y= 5 2/4

x = 1/4 , y = 5 2/4

6 0
3 years ago
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