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Lera25 [3.4K]
1 year ago
6

two angles form a linear pair. If one angle is 7/2 larger than the other, what is the measurement of each angle.​

Mathematics
1 answer:
masha68 [24]1 year ago
5 0

The angles are 40 degrees and 140 degrees.

• In plane geometry, a figure which is created by two rays or two lines or line segments that share a common end point is known as angle.

• The two rays which are share a common point are called as sides of the angle an the common end point is called as the vertex.

• Some types of angles are acute angle, right angle, obtuse angle, straight angle and many more.

Let one angle be x

Other angle = 7/2 x

Since it is a linear pair, it’s sum will be 180 degrees.

So, x + 7/2 x = 180

9/2 x = 180

9 x = 360

X = 40

7/ 2 x = 7/2 × 40 = 140

Therefore, the angles are 40 degrees and 140 degrees.

Learn more about angles here:

brainly.com/question/25770607

#SPJ9

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What is the distance between the lines y = 2x and y = 2x+5? Round your answer to the nearest tenth.
Ilia_Sergeevich [38]

The distance between both lines is 2.24 units

Step-by-step explanation:

There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.

Given

y=2x\\Putting\ x=1\\y=2(1)\\y=2\\So, the\ point\ on\ y=2x\ is\ (1,2)

We have to find the distance of this point from y=2x+5

y=2x+5\\Subtracting\ y\ from\ both\ sides\\y-y=2x+5-y\\2x-y+5=0

The formula for finding distance of a point (x,y) from a line is:

d=\frac{|Ax+By+C|}{\sqrt{A^2+B^2}}

A=2

B=-1

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Putting the values in the formula

d=\frac{|(2)(1)+(-1)(2)+5|}{\sqrt{(2)^2+(-1)^2}}\\d=\frac{|2-2+5|}{\sqrt{4+1}}\\d=\frac{|5|}{\sqrt{5}}\\d=\frac{5}{\sqrt{5}}\\d=2.236\ units

Rounding off will give: 2.24 units

The distance between both lines is 2.24 units

Keywords: Equations of lines

Learn more about distance in lines at:

  • brainly.com/question/7449065
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#LearnwithBrainly

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