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scoundrel [369]

3 years ago

13

Can someone please help me with this?

1 answer:

mash [69]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

∠c = ∠ a = 47° ( vertical angles )

∠c and ∠b form a straight angle and are supplementary, thus

∠c + ∠b = 180, that is

47 + ∠b = 180 ( subtract 47 from both sides )

∠b = 133°

∠d = ∠b = 133° ( vertical angles )

That is a = c = 47° and b = d = 133°

The sum of the 4 angles = 133° + 47° + 47° + 133° = 360°

360° is the sum of the angles round a point , hence answer is correct

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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

C=5

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:

#LearnwithBrainly

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HELPPOP PLEASEEEEEE!!!!!!!!!

Marizza181 [45]

Those are called sides

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