All categories

3 years ago

What is the value of x?Please help ✨

Mathematics

1 answer:

mestny [16]3 years ago

6 0

To solve this problem, we must remember that vertical angles (angles that are across from one another as <TRS and <VRW are above) have the same measure, they are equivalent. This means that we can set up an equation that sets the measures of these two angles equal to one another, as shown below:

x + 40 = 3x

To solve this equation, we will begin by subtracting x from both sides of the equation so that all of the variable terms are on the right side of the equation.

40 = 2x

Next, we should divide both sides of the equation by 2 so that we can get the variable x alone on the right side of the equation and cancel out its coefficient of 2.

x = 20

Therefore, your answer is x=20 (the first option listed).

Hope this helps!

You might be interested in

Seventh graders collected some gold sand on a class field trip.

satela [25.4K]

Answer:

Class 7A collected 4.8 ounces of pure gold.

Step-by-step explanation:

Key skills required are: Percentages, Multiplication

We only need the information about Class 7A. They collected 40 oz that contains 12% gold.
In other words, this means that 12% of that 40 oz gold sand is pure gold.

Here we have to do 12% x 40 to find the number of oz of pure gold. We first have to convert 12% into a decimal. Divide it by a 100 (or move the decimal point 2 places to the left) and you will get 0.12.

Do 0.12 x 40 and you will get 4.8

Therefore, there are 4.8 oz of pure gold in Class 7A's gold sand

3 0

3 years ago

What are the X and Y intercepts of y= -2(x-4)2 +3

kari74 [83]

Answer: x-intercepts are ( 2.775,0) and (5.225,0)

And y-intercept is (0,-29)

Step-by-step explanation:

Here the given equation is,

$y = -2(x-4)^2+3$

For x-intercept, y = 0,

Put y = 0 in the above equation of parabola,

We get, $-2(x-4)^2 + 3 = 0$

$-2(x^2+16+8x) + 3 = 0$

$-2x^2-32-16x + 3 = 0$

$-2x^2-16x -29 = 0$

By solving this equation,

We get, x = 2.775 or x = 5.225

Therefore, x-intercept of the given parabola are (2.775, 0) and (5.225,0)

Now, for y-intercept, x = 0

By putting x = 0 in the given equation of parabola,

We get, y = -29

Thus, y-intercept of the given parabola = (0,-29)

4 0

4 years ago

Someone please help me

Alex_Xolod [135]

Answer: Pretty sure it's A

Step-by-step explanation: If you find the square root of 282 you get 16.7

5 0

3 years ago

Read 2 more answers

A water pump fills a swimming pool at a rate of 80

Nat2105 [25]

9514 1404 393

Answer:

5 hours

Step-by-step explanation:

The volume of the pool is ...

V = LWH

V = (10 ft)(8 ft)(5 ft) = 400 ft^3

At the given fill rate, the time it will take is ...

(400 ft^3)/(80 ft^3/h) = 5 h

It will take 5 hours for the pump to fill the pool.

3 0

3 years ago

Read 2 more answers

Ricky is taking out a personal loan for $12,000 to remodel his kitchen. He would like the lowest monthly payment possible, even

SSSSS [86.1K]

Let me help you, but first I will explain the formula used to calculate monthly compound interest.

The formula used to calculate compound monthly compound interest is

a=p(1+r/n)^nt

P Represents the principal

R Represents the rate (in decimal)

N is basically 12 months

T Represents the time (in years)

Let's plug the numbers in.

First statement

"His bank has offered him a loan at 13% interest for 36 months"

12000(1+.13/12)^(12)(3)

12000(1+.13/12)^(12)(3) = $17,686.64

Second statement

"12% interest for 60 months"

Plug in the numbers into the formula.

12000(1+.12/12)^(12)(5)

12000(1+.12/12)^(12)(5) = 21,000.36

Answer

The answer would be "13% interest for 36 months" as it is much lower compared to the other statement.

3 0

3 years ago

Read 2 more answers