Write the equation of the line that represents this graph.

natima [27]

$\huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }$

$\large\underline{ \boxed{ \sf{✰\:Important\: point's }}}$

➢Given two lines are intersecting lines
➢ as it's clearly known when two or more lines meet each other at a specific points is said to be as intersecting lines nd they must be having a common point
➢Here angle t and angle 120⁰ forms adjacent angles
and sum sum of adjacent angles is 180⁰

${ \rule{70mm}{2.9pt}}$

$\underline{ \boxed{ \sf{✵\: let's\: solve\:✵}}}$

$\sf ➛\angle \: 120 \degree + \angle \:t = 180\degree \\ \sf ➛\angle \:t = 180 \degree - \angle \:120 \degree \\ \sf ➛\angle \: t = \:60 \degree$

${ \rule{70mm}{2.9pt}}$

$\boxed{✛\underline{ \boxed{ \sf{ \: \angle \: t = 60 \degree \: }}}✛}$

Hope it helps !

5 0

2 years ago

What is the maximum percentage of net spendable income that should be set aside for transportation?

pychu [463]

A. 15% the maximum percentage of the spendable income that should be set aside for transportation is 15%.

4 0

3 years ago

Read 2 more answers

There are 14 black pens out of 25 pens. What percent of the pens are black?

Musya8 [376]

The answer is 56 percent black pens

7 0

3 years ago

The volume of a spherical balloon is increasing at the rate of 25cm^3/min, how fast is the radius increasing when the radius is

S_A_V [24]

Answer:

So the radius is increasing at $\frac{1}{64\pi} \frac{\text{cm}}{\text{min}}$ .

This is approximately 0.00497 cm/min that the radius is increasing.

Step-by-step explanation:

$V=\frac{4}{3}\pi r^3$

The volume and radius are both things that are changing with respect to time.

So their derivatives will definitely not be 0.

Let's differentiate:

$V'=\frac{4}{3} \pi \cdot 3r^2r'$

I had to use constant multiple rule and chain rule.

We are given $V'=+25 \frac{\text{cm^3}}{\text{min}}$ and $r=20 \text{cm}$ .

We want to find $r'$ .

Let's plug in first:

$25=\frac{4}{3}\pi \cdot 3(20)^2r'$

$25=\frac{4}{3} \pi \cdot 3(400)r'$

$25=\frac{4}{3} \pi \cdot 1200r'$

Multiply both sides by 3:

$75=4 \pi \cdot 1200r'$

$75=4800 \pi r'$

Divide both sides by $4800 \pi$ :

$\frac{75}{4800 \pi}=r'$

$\frac{1}{64 \pi}=r'$

So the radius is increasing at $\frac{1}{64\pi} \frac{\text{cm}}{\text{min}}$ .

This is approximately 0.00497 cm/min that the radius is increasing.

5 0

4 years ago

Read 2 more answers

Choose the number pair that has digits of 4 that differ in place by a factor of 1000. 4 A. 49,823 and 81,540 B. 83,419 and 46,85

Ne4ueva [31]

Answer:

The correct option is D) 47,063 and 54,722.

Step-by-step explanation:

Consider the provided information.

Here we need to find the number pair that has digits of 4 that differ in place by a factor of 1000.

Now consider the option A) 49,823 and 81,540

The place value of 4 in 49,823 and 81,540 is 40,000 and 40 respectively.

So the difference=40,000-40=39960 which is not a multiple of 1000.

Consider the option B) 83,419 and 46,859

The place value of 4 in 83,419 and 46,859 is 400 and 40,000 respectively.

So the difference=40,000-400=39600 which is not a multiple of 1000.

Consider the option C) 54,890 and 81,745

The place value of 4 in 54,890 and 81,745 is 4000 and 40 respectively.

So the difference=4000-40=3960 which is not a multiple of 1000.

Consider the option D) 47,063 and 54,722

The place value of 4 in 47,063 and 54,722 is 40,000 and 4000 respectively.

So the difference=40000-4000=36000 which is a multiple of 1000.

Hence, the correct option is D) 47,063 and 54,722.

3 0

3 years ago