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dimaraw [331]
1 year ago
10

Find the value of x for which m || n. The value of x for which m | n is n

Mathematics
1 answer:
lbvjy [14]1 year ago
6 0

Answer:

x=40

Step-by-step explanation:

The angles of both expressions (4x-28) and (3x+12) are congruent (alternating exterior angles). So, you can set up the equation 4x-28 = 3x+12 because both expressions are equivalent, so it makes sense. Then solve for x.

4x - 28 = 3x + 12

x - 28 = 12

x = 40

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Ymorist [56]
#in addition
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6 0
3 years ago
The perimeter of a rectangle is 60. The length is twice the width. Find the length and width.
prohojiy [21]

Step-by-step explanation: Our first task in this problem is to setup variables representing <em>length</em> and <em>width</em> and we do that by using the second sentence.

<em><u>The length is twice the width</u></em>

So if we call our width <em>x</em>, that means that our length is 2 times <em>x</em> or 2x

Width of the rectangle ⇒ <em>x</em>

Length of the rectangle ⇒ <em>2x</em>

Before moving on, go ahead and draw a picture of your

rectangle so that you can visualize what's going on.

I have done this for you below.

We label our widths <em>x</em> and our lengths <em>2x</em>.

Now we can use the first sentence to setup our equation.

The perimeter of a rectangle is the distance

around the outside of the figure.

So if our perimeter is 60, that means that x + x + 2x + 2x = 60.

Simplifying by combining like terms, we get 6x = 60.

Now dividing both sides by 6, we find that <em>x = 10</em>.

Since <em>x</em> represents width, our width is 10.

Our length therefore with be <em>2(10)</em> or 20.

So our width is 10 and our length is 20.

8 0
3 years ago
What is the area of a sector with radius 4 and an angle of 18°? Use 3.14 for pi.
iVinArrow [24]
The area of the sector (As) of a circle may be calculated by the formula,
                                     As = (a / 360) x π x r²
where a is the measure of angle in degrees and r is the radius. Substituting the known values, 
                                    As = (18 / 360) x 3.14 x (4²) = 2.512
Thus, the area of the sector is approximately 2.512 squared units.

8 0
2 years ago
Read 2 more answers
HELP PLEASE!!!! FASTT
Veronika [31]

Answer:

Domain (-3,-2,-1,0,1,2)

Range (-2,0,1,2,3)

This is not a function

Step-by-step explanation:

Domain (-3,-2,-1,0,1,2)

Range (-2,0,1,2,3)

one x-value with two y-values, (-1, 2) and (-1, -2)

not a function

Plotting the graph should be easy

left side are x-values

right side are y-values

4 0
1 year ago
Miguel orders 595 candy bars. They come in 7 boxes. How many candy bars are in each box? How many candy bars will he have left i
melisa1 [442]

There are 85 candy bars in each box, and he will have 340 candy bars left after he gives three boxes to a friend.

8 0
3 years ago
Read 2 more answers
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