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3 years ago

5

A black line is longer than a gray line. The gray line is longer than a white line. Is the black line shorter or longer than the

white line? Draw to prove your answer.

1 answer:

enot [183]3 years ago

4 0

The gray line is longer than the white line.
The black line is longer than the gray line.

White    -------------------------

Gray     ------------------------------------------

Black    --------------------------------------------------------

Answer: The black line is longer than the white line.

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Help please!!!!! Thank uuuu

alexgriva [62]

Answer:

H

Step-by-step explanation:

If it was the first two, it would be to small of an angle.

If it were the last two it would be a straight line.

35 degrees is the only possible one.

3 0

3 years ago

Read 2 more answers

Which expression is equivalent to 4x + 3 - 2x + 5.

My name is Ann [436]

2x+8 is equivalent to 4x+3-2x+5

Step-by-step explanation:

4x+3-2x+5

4x+2x+3+5

2x+8

7 0

3 years ago

Read 2 more answers

Solve this thing pls<br> <img src="https://tex.z-dn.net/?f=3%5Cleft%28q-7%5Cright%29%3D27" id="TexFormula1" title="3\left(q-7\ri

evablogger [386]

Answer:

Solution of equation ( q ) = <u>1</u><u>6</u>

Step-by-step explanation:

In this question we have given an equation that is <u>3 </u><u>(</u><u> </u><u>q </u><u>-</u><u> </u><u>7</u><u> </u><u>)</u><u> </u><u>=</u><u> </u><u>2</u><u>7</u><u> </u>and we have asked to solve this equation that means to find the value of <u> </u><u>q</u><u> </u><u>.</u>

<u>Solution : -</u>

$\quad \: \longmapsto \: 3(q - 7) = 27$

<u>Step </u><u>1</u><u> </u><u>:</u> Solving parenthesis :

$\quad \: \longmapsto \:3q - 21 = 27$

<u>Step </u><u>2</u><u> </u><u>:</u> Adding 21 on both sides :

$\quad \: \longmapsto \:3q - \cancel{ 21} + \cancel{21} = 27 + 21$

On further calculations we get :

$\quad \: \longmapsto \:3q = 48$

<u>Step </u><u>3 </u><u>:</u> Dividing by 3 from both sides :

$\quad \: \longmapsto \: \frac{ \cancel{3}q}{ \cancel{3}} = \cancel {\frac{48}{3} }$

On further calculations we get :

$\quad \: \longmapsto \: \pink{\boxed{\frak{q = 16}}}$

<u>Therefore</u><u>,</u><u> </u><u>solution</u><u> </u><u>of </u><u>equation</u><u> </u><u>(</u><u> </u><u>q </u><u>)</u><u> </u><u>is </u><u>1</u><u>6</u><u> </u><u>.</u>

<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>

Now we are very our answer by substituting value of q in the given equation . So ,

3 ( q - 7 ) = 27

3 ( 16 - 7 ) = 27

3 ( 9 ) = 27

27 = 27

L.H.S = R.H.S

Hence, Verified.

<u>Therefore</u><u>,</u><u> </u><u>our </u><u>solution</u><u> </u><u>is </u><u>correct</u><u> </u><u>.</u>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>

3 0

2 years ago

Read 2 more answers

Joe's annual income has been increasing each year by the same dollar amount. The first year his income was $17 comma 90017,900

Vedmedyk [2.9K]

Answer:

In 17th year, his income was $30,700.

Step-by-step explanation:

It is given that the income has been increasing each year by the same dollar amount. It means it is linear function.

Income in first year = $17,900

Income in 4th year = $20,300

Let y be the income at x year.

It means the line passes through the point (1,17900) and (4,20300).

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

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

The equation of line is

$y-17900=\frac{20300-17900}{4-1}(x-1)$

$y-17900=\frac{2400}{3}(x-1)$

$y-17900=800(x-1)$

$y-17900=800x-800$

Add 17900 on both sides.

$y=800x-800+17900$

$y=800x+17100$

The income equation is y=800x+17100.

Substitute y=30,700 in the above equation.

$30700=800x+17100$

Subtract 17100 from both sides.

$30700-17100=800x$

$13600=800x$

Divide both sides by 800.

$\frac{13600}{800}=x$

$17=x$

Therefore, in 17th year his income was $30,700.

5 0

3 years ago

Ted’s team score average of 23.5 points in 4 basketball games. Lauren's team scores an average of 75.5 points in the same 4 gam

Setler [38]

Answer:

Lauren has 52 more points than Ted.

Step-by-step explanation:

Ted- 23.5

Lauren- 75.5

75.5-23.5=52

52

5 0

3 years ago