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2 years ago

What is the answer to the questions

Mathematics

1 answer:

loris [4]2 years ago

7 0

<h3>Answer: x = 40</h3>

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Work Shown:

A+B+C = 180 ..... three angles of any triangle add to 180

(2x+10)+(x)+(2x-30) = 180

5x-20 = 180

5x = 180+20 .... adding 20 to both sides

5x = 200

x = 200/5 ... dividing both sides by 5

x = 40

This is the measure of angle B

We can stop here.

If you need to know the values of the other angles, then,

angle A = 2x+10 = 2*40+10 = 90
angle C = 2x-30 = 2*40-30 = 50

Then note how A+B+C = 90+40+50 = 90+90 = 180 which helps confirm our answer.

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How do uou do this problem

Ronch [10]

The first step to solving an equation like this is to find the slope of a line that will be perpendicular to the line given. The slope of a line that's perpendicular to another line is the negative reciprocal. The negative reciprocal of -1/5 is 5. So, so far our equation is y = 5x + b. Now, to find what b is equal to, we should substitute the values of x and y from the point (1,2) since we know that our line goes through the point. Our equation becomes:

2 = 5 + b
b= -3

That means that the equation of our new line is y = 5x - 3

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3 years ago

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2 years ago

Graph -5x-8y=40

Triss [41]

Answer:

Please, see the attached file.

Thanks.

Step-by-step explanation:

-5x-8y=40

This is a linear equation, and its graph is a right line, we only need two points, because by two points only goes trough only a right line:

1) For x=0→ -5(0)-8y=40

0-8y=40

-8y=40

Dividing both sides of the equation by -8:

-8y/(-8)=40/(-8)

y=-5

Point=(x,y)→Point=(0,-5)

2) For y=0→ -5x-8(0)=40

-5x-0=40

-5x=40

Dividing both sides of the equation by -5:

-5x/(-5)=40/(-5)

x=-8

Point=(x,y)→Point=(-8,0)

With these two points (0,-5) and (-8,0) we can draw the right line.

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3 years ago

The area of a rectangle is 99 ft^2, and the length of the rectangle is 7 more than double the width. Find the dimensions of the

Sergio039 [100]

Answer:

width =5.5ft

length =18

Step-by-step explanation:

w=x

L=2x+7

area=w*L

99 = x(2x+7)

$99=2x^{2} +7x$

$2x^{2} +7x-99=0$

$2x^{2} +18x-11x-99=0$

2x(x+9)-11(x+9)=0

(2x-11)(x+9)=0

2x-11=0

2x=11

x=11/2

x=5.5

L=2x+7=2*5.5+7=11+7=18

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3 years ago

dirk sold 7 more than 2 times as many gym memberships this month than last month. this month he sold 43 memberships

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Answer:

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Step-by-step explanation:

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2 years ago

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