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3 years ago

Find the measure of the numbered angle

Mathematics

1 answer:

Natali5045456 [20]3 years ago

4 0

Answer:

115°

Step-by-step explanation:

1/2 (130 + 100) = 115°

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What is the coefficient of x in 4+3y²+x?

Anni [7]

the coefficient of x is 1

8 0

1 year ago

Write an equation that represents the line. (-3,-6) and (2,-2) use exact numbers

Ilia_Sergeevich [38]

Given:

The line passes through (-3,-6) and (2,-2).

To find:

The equation of line.

Solution:

If a line passes through two points $(x_1,y_1)\text{ and }(x_2,y_2)$ , then the equation of line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

The line passes through (-3,-6) and (2,-2). So, the equation of line is

$y-(-6)=\dfrac{-2-(-6)}{2-(-3)}(x-(-3))$

$y+6=\dfrac{-2+6}{2+3}(x+3)$

$y+6=\dfrac{4}{5}(x+3)$

$y+6=\dfrac{4}{5}(x)+\dfrac{4}{5}(3)$

Subtract 6 from both sides.

$y=\dfrac{4}{5}(x)+\dfrac{12}{5}-6$

$y=\dfrac{4}{5}(x)+\dfrac{12-30}{5}$

$y=\dfrac{4}{5}(x)+\dfrac{-18}{5}$

$y=\dfrac{4}{5}(x)-\dfrac{18}{5}$

Therefore, the equation of line is $y=\dfrac{4}{5}(x)-\dfrac{18}{5}$ .

3 0

3 years ago

(Before you answer I am looking for how I do it. I have the answers but I need to know an equation to do this instead of using l

Tema [17]

Answer:

14 and 16.

Step-by-step explanation:

We know that two consecutive even numbers is 30.

Let's let n be any number.

Then the first even number must be 2n.

This is because n can be any number, either even or odd. However, if we multiply it by 2, this ensures that 2n is even. Remember that any number multiplied by 2 yields an even number.

Therefore, the consecutive even number will be (2n+2). Not (2n+1), because that gives an odd number.

We know that they sum to 30. So, we can write the following equation.

$(2n)+(2n+2)=30$

And we solve from there:

$4n+2=30\\\Rightarrow4n=28\\\Rightarrow n=7$

So, the value of n is 7.

Therefore, the first even number is 7(2)=14.

And the consecutive even number is 16.

Edit: Typo

7 0

3 years ago

Are the ratios 20:16 and 5:4 equivalent?

emmasim [6.3K]

Answer:

Yes

Step-by-step explanation:

20:16

Reduce the ratio to lowest terms by dividing both numbers by 4.

20:16 = 5:4

Answer: Yes

5 0

2 years ago

Three pounds of fertilizer covers 900 feet.How many pound of fertilizer will cover 2,100 feet?

sveticcg [70]

To solve this problem, you can make a proportion:

3/900 = x/2100

In this case, the x represents the pounds that will be needed to cover 2,100 feet.

The first step is to cross multiply like this:

3 * 2100 = 900 * x

Now you can simply the equation.

6300 = 900x

Now you divide both sides by 900 to cancel it out.

7 = x

So, your answer is 7 pounds.

7 0

3 years ago