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kondaur [170]
3 years ago
7

In the figure below, ray MP and ray MQ both intersect line LN.

Mathematics
1 answer:
kolezko [41]3 years ago
8 0

Answer:

<em>x = 20°</em>

Step-by-step explanation:

<u>Lines and Angles</u>

Rays PM and MQ divide the straight-line LN angle of 180° into three angles: 45°, 6x-5, and x.

Thus, we have:

45 + 6x - 5 + x = 180

Simplifying:

40 + 7x = 180

Subtracting 40:

7x = 180 - 40

7x = 140

Dividing by 7:

x = 140/7 = 20

x = 20°

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- Monica goes for a 60 minute bike ride each day in the summer. Let a rep
Leno4ka [110]

Answer:

m = 60a

a = Independent Variable

m = Dependent Variable.

For a = 1 day, m = 60 minutes

For a = 2 days, m = 120 minutes

For a = 3 days, m = 180 minutes

For a = 4 days, m = 240 minutes

For a = 5 days, m = 300 minutes

For a = 6 days, m = 360 minutes

For a = 7 days, m = 420 minutes

Step-by-step explanation:

Monica goes for a 60-minute bike ride each day in the summer.

If a represents the number of days Monica rides her bike and m represents the total number of minutes she spends riding her bike, then a represents the independent variable and m represents the dependent variable.

The relation between a and m can be written as an equation, m = 60a.

Now, for a = 1 day, m = 60 minutes

For a = 2 days, m = 60 × 2 = 120 minutes

For a = 3 days, m = 60 × 3 = 180 minutes

For a = 4 days, m = 60 × 4 = 240 minutes

For a = 5 days, m = 60 × 5 = 300 minutes

For a = 6 days, m = 60 × 6 = 360 minutes

For a = 7 days, m = 60 × 7 = 420 minutes

Therefore, this is the table to show how many minutes Monica would ride her bike over the course of 1 week. (Answer)

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3 years ago
Find the perimeter of the
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3 years ago
What is one-half of 3/4
Mnenie [13.5K]
THE HALF OF 3/4 WOULD BE 0.375
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3 years ago
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Hard question help me
Andrew [12]
Here you divide the number from denominator to numerator. Example 3/3=1, 8/2=4 in denominator and 1 in numerator since 2/2=1

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2 years ago
The points on the graph represent both an exponential function and a linear function.
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By looking at the graphs we can infer the equation that represents both functions. If we plot the equations in a graphing tool, we can easily find your points.

Please, see the attached image

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f(x)  = (-3/2)*x + 3

x = -3 ---------> y = 15/2 = 7.5

x = -2 ---------> y = 6

x = -1 ---------> y = 4.5

x = 0 ---------> y = 3

x = 1 ---------> y = 1.5

x = 2 ---------> y = 0

x = 3 ---------> y = -1.5

Exponential

g(x)  = (1/2)^x

x = -3 ---------> y = 8

x = -2 ---------> y = 4

x = -1 ---------> y = 2

x = 0 ---------> y = 1

x = 1 ---------> y = 0.5

x = 2 ---------> y = 0.25

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