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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>

===================================================

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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A water tank holds 486 gallons but leaking at a rate 4 gallons per week. A second water tank holds 648 gallons but is leaking at

notka56 [123]

The first tank contains

486 gal - (4 gal/week) t

gal of water after t weeks.

Similarly, the second tank contains

648 gal - (7 gal/week) t

gal of water.

The tanks hold the same amount of water when these two amounts are equal:

486 gal - (4 gal/week) t = 648 gal - (7 gal/week) t

(7 gal/week) t - (4 gal/week) t = 648 gal - 486 gal

(3 gal/week) t = 162 gal

t = (162 gal) / (3 gal/week)

t = 54 weeks

6 0

3 years ago

Answer the following questions about the problem above. Write in complete sentences to get full credit.

nexus9112 [7]

Note: Since you missed to add the image, so after a little research, I was able to find the image related to this question, which hopefully serves the purpose to clear your concept. The image is attached below.

Step-by-step explanation:

Part 1) What is the slope for section "d" of Mrs. Washington's commute

Calculating the slope for section "d" of Mrs. Washington's commute:

Slope of the section d $=\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

$\frac{6 - 0}{32 - 20}=\frac{1}{2}=0.5$

Part 2) What does it mean that the slope is negative in context of the problem?

The slope is being negative as it is moving downward from the left. In negative slop, the value of x increase, while the vale of y decreases. In positive slop, the value of both x and y increases.

Part 3) Why are the slopes different over different intervals?

Slopes are different at different intervals as the distance covered in time taken for each part of the given journey are different, also the speed is not the same for each interval.

As the speed can be calculated as

$Speed\:=\:\frac{distance}{time}\:$

Distance = $y_{2} -y_{1}$ = $20 - 15 = 5$

Time = $x_{2} -x_{1}$ = $8 - 0 = 8$

Speed = $\frac{5}{8}=0.625$

Therefore, the speed in the part 1 is $0.625$ $ms^{-1}$

Part 4) How long does it take Mrs. Washington to get home? How did you know this?

It is clear from the graph that does take 32 minutes to her to get home.

We can observe it from the graph that it represents the total time taken across the entire journey.

Keywords: slope, speed, time

Learn more about slope, speed and time from brainly.com/question/13275691

#learnwithBrainly

3 0

2 years ago

What is 3/4 of a 2 liter bottle in millimeters

shutvik [7]

I believe you meant milliliters. If so the answer is 1500ml

2 liters = 2000ml

2000/4 = 500 for 1/4

We need 3/4 so we multiply 500 X 3 and get 1500ml

6 0

3 years ago

Read 2 more answers

I only need help with number 9 plz

Varvara68 [4.7K]

Answer:

<h2>Letter C</h2>

Step-by-step explanation:

If we look on the number line we see that there is a point on -3, another point on -1, 2, and 7.

These points tell us our answer, but the question states it doesn't have to be in any order.

As we look at answer A we see -3, 1, 2, and -7. That's incorrect since there is no positive 1 nor an -7.

As we look at answer B we see -3, 7, 1, and -2. That's incorrect since there is no positive 1, and not a -2.

As we look at answer D we see -2, 3, 1, and 7. That's incorrect since there is no positive 2, no positive 3, and no negative 1.

C has to be the correct answer since it's the only answer left and has the 4 numbers that are on the number line.

Therefore, the correct answer is C.

Best of Luck to you.

If you have any questions, feel free to comment below.

6 0

2 years ago

Draw a number line that includes both positive and negative integers from +5 to -5.

aleksandrvk [35]

Answer:

5 4 3 2 1 0 -1 -2 -3 -4 -5

Step-by-step explanation:

6 0

2 years ago

What is the answer to the questions​

What is the answer to the questions