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Mrrafil [7]
3 years ago
13

What is the slope of a line that is parallel to the graph of the equation y = 10x - 20?

Mathematics
1 answer:
8_murik_8 [283]3 years ago
4 0

10

The slope of all parallel lines is equal. 10 is the slope in the equation y = 10x - 20, so the slope of a line parallel to it has to be 10 also.

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Jenny has a new box of 8 colored pencils. Each one is perfectly sharpened. Together the colored pencils have a mass of 56 grams
storchak [24]

Answer:

If you are trying to find how much grams are in one color pencil it is 7 grams.

8 0
2 years ago
Find x(3x+72) triangle
Alinara [238K]

Answer: x = -4 ; Angle = 60°

Concept:

The given figure is a triangle with 3 arc signs on each angle. This <u>arc sign </u>stands for the corresponding angles are congruent, which in this question, it shows that all three angles are congruent. Sometimes, if the figure has multiple angles and there are different groupings of congruent angles, then we use different numbers of arcs or symbols.

Solve:

<u>Given information</u>

An angle = 3x + 72

Total measure of angles = 180 (triangle angle sum theorem)

Total number of congruent angles = 3

<u>Given expression</u>

Total measure = Total number of congruent angles × An angle measure

<u>Substitute values into the expression</u>

180 = 3 (3x + 72)

<u>Divide 3 on both sides</u>

180 / 3 = 3 (3x + 72) / 3

60 = 3x + 72

<u>Subtract 72 on both sides</u>

60 - 72 = 3x + 72 - 72

-12 = 3x

<u>Divide 3 on both sides</u>

-12 / 3 = 3x / 3

\boxed{x=-4}

<u />

<u>Find the angle measure</u>

3x + 72 = 3 (-4) + 72 = \boxed{60}

Hope this helps!! :)

Please let me know if you have any questions

6 0
2 years ago
Read 2 more answers
Write a linear function that relates y to x <br><br> y=
son4ous [18]

y=x-2

hope this helped :)

7 0
2 years ago
-8x-27=-7\left(1+2x\right)+2x
Darina [25.2K]

Answer:

x=5

Step-by-step explanation:

-8x-27=-7\left(1+2x\right)+2x

Expand:

-8x-27=-7\times 1-7\times 2x+2x

-8x-27=-7-12x

Add 27 to both sides:

-8x-27+27=-7-12x+27

-8x=-12x+20

Add 12x to both sides:

-8x+12x=-12x+20+12x

4x=20

Divide both sides by 4:

\frac{4x}{4}=\frac{20}{4}

x=5

5 0
3 years ago
A staff gauge measures the height of the water level in a river compared to the average water level. At one gauge the river is 1
Juli2301 [7.4K]

The river will not reach a level of 7 ft. after 5 hours.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the height of the water level after x hours.

Since the  river is 1 ft below its average water level and  begins to rise by a constant rate of 1.5 ft per hour. Hence:

b = -1, m = 1.5. The equation becomes:

y = 1.5x - 1

To reach a level of 7 ft. That is y = 7:

7 = 1.5x - 1

1.5x = 8

x = 5.3 hours

The river will not reach a level of 7 ft. after 5 hours.

Find out more at: brainly.com/question/13911928

5 0
2 years ago
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