Two triangles have the same base lengths. One Triangle has the height that is 4 times the height of the other triangle. Are the heights and the areas of the two triangles proportional?

Answers

Answer 1

YES

Area of Triangle 1

Base=b

Height= h

Area 1=A1=1/2*b*h

Area of Triangle 2

Base=b

Height= 4h

Area of triangle 2=A2=1/2*b*4h

Comparing A1 and A2

A2/A1= (1/2*b*4h)/(1/2*b*h)

= (1/2*b*4h)/(1/2*b*h)

=4/1

Ratio of heights =h2/h1= 4/1

Ratio of areas =A2/A1= 4/1

They are proportional.


Related Questions

Can someone help me with this question Please.

Solve for the slope, x- and y-intercepts given the equation below.

7x + 2y = -10

x-intercept:

y-intercept:

Slope:

Answers

X intercept: (-10/7, 0)
Y intercept: (0, -5)
Slope: -7/2
First, you should put it into y-intercept form:
7x+2y=-10
2y=-10-7x
Y=(-7x-10)/2

The slope is the coefficient of x right now, so the slope is -7/2.

The x-intercept’s y is always 0, so we plug that into the equation as y=0.
7x+2y=-10
7x+2(0)=-10
7x+0=-10
X=-10/7

Therefore, the x-intercept is (-10/7,0).

Now, you do the same thing for the y-intercept where x=0 to find your y-intercept.

Hope that made sense!

what's the highest number - 6 and - 10 and -4 and 7 and 6 and -2​

Answers

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

in order it would be -10, -6, -4, -2, 6, 7

Hav a great day :P

PLEASE HELP!!

what will happen to the graph of the line y= 3/4x -7 if you change 3/4 to -3/4?


a) the line will intersect

b) the slope of the line will change from positive to negative

c) (4,-4) will become a point on the line

d) the y-intercept will change from negative to positive

Answers

Answer:

B choice

Step-by-step explanation:

[tex]y = mx + b[/tex]

where m = slope and b = y-intercept.

The value of m is 3/4. That means slope is 3/4. Changing 3/4 to - 3/4 will make the slope become negative. Therefore the answer is B.

Answer: b) the slope of the line will change from positive to negative

The base of a parallelogram is 6 ft more than the height. If the area of the parallelogram is 55 ft^2​, what are the measures of the base and the​ height?

Answers

Answer:

Height = 5 ft

Base = 11 ft

Step-by-step explanation:

The area of a parallelogram is

Base × Height

From the question:

The base of a parallelogram is 6 ft more than the height.

Base = 6ft + h

If the area of the parallelogram is 55 ft^2​,

what are the measures of the base and the​ height?

This is calculated as:

55 ft² =( 6 + h ) × h

55 = 6h + h²

h² + 6h - 55 = 0

h² +5h - 11h - 55 = 0

h(h + 5) - 11(h + 5) = 0

(h + 5)(h - 11) = 0

h - 11 = 0

height = 5ft

Base = 6 + h = 6 + 5

Base = 11ft

PLEASE HELP ME NOT THAT HARD I THINK
For one test, Benny got 12 questions wrong. His score was a 60%. In total, how many questions were on his test? Round your answer to the nearest whole number if necessary.

Answers

Answer: answer is 20 questions total

Step-by-step explanation:

12 Wrong, and 8 right. 60%

set up a proportion
x-12/x = 60/100
100x - 1200 = 60x
40x = 1200
x = 30
30 questions

How many 5/6 are in 2/3

Answers

Answer:

The amount is 4/5 of 5/6 is in 2/3.

Step-by-step explanation:

There 4/5 is 5/6 in the fraction 2/3 which is determined by the division operation.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation.

For example 4/2 = 2

We have to determine how many 5/6 are in the fraction 2/3.

The numbers are given in the question below

2/3 and 5/6

According to the given question, the required solution would be as:

⇒ 2/3 ÷ 5/6

⇒ (2/3) / (5/6)

Reciprocal the terms of the numerator in the above expression

⇒ (2/3) × (6/5)

Apply the multiplication operation,

⇒ 12 / 15

Reduce the fraction in the simplest form,

⇒ 4/5

Therefore, there 4/5 is 5/6 in the fraction 2/3.

To learn more about the division operation click here :

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Xavier starts the summer with $315 in his savings account. Since he will be working a lot this summer, he made plans to deposit $80 into his account each week. If he ended the summer with $955 in his savings account, how many weeks did he make deposit?

Answers

Answer: 8 weeks

Step-by-step explanation:

He originally had $315 in his account. This figure increased to $955. It therefore increased by:

= 955 - 315

= $640

If he deposited $80 every week, the number of weeks it would take to deposit $640 is:

= 640/80

= 8 weeks

Help needed. Will mark brainliest. Please help:c

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Cost of owning and operating a printer :

Purchase Cost = $100

Printing per per page = $0.05

Thus, owning and operating cost :

Purchase cost + (Printing per page * number of pages)

Number of pages = p

100 + 0.05p

Service cost :

Amount per page = 0.25

Total revenue = cost per page * number of pages

Total revenue from service =. 0.25p

The equation :

100 + 0.05p = 0.25p ; is the owning and operating cost = total revenue

It gives the equation to calculate the number of pages at which total revenue equals owning and operating cost.

100 + 0.05p = 0.25p

100 =0.25p - 0.05p

100 = 0.20p

p = 100/0.2

p = 500

When number of pages equals 500; the owning and operating cost is equal to the revenue made.

Isaac is making a cookie recipe that requires 3 cups of sugar for every 6 cups of flour Isaac only has 4 cups of flour he concludes that he will only need two cups of sugar

A. Isaac is incorrect he needs three cups of sugar because decrease in the number of cups of flours by 2 requires increasing the number of cups of sugar by 2.

B. Isaac is the correct one third of the amount of sugar is needed because only one-third of the recipe will be made.

C. Isaac is incorrect the number of cups of sugar must be reduced by 2 because the number of cups of flour is reduced by 2.

D. Isaac is correct he needs 2 cups of sugar because a ratio 2 to 4 is equivalent to 3to6 ​

Answers

Answer:

Step-by-step explanation:

D. Isaac is correct he needs 2 cups of sugar because a ratio 2 to 4 is equivalent to 3to6 ​,

(The ratio 3:6 is equivalent to 1:2, similarly 2:4 is equivalent to 1:2, therefore the ratios 3:6 and 2:4 are the same)

Answer:

the answer is D

hope this helpful

please help
if right i give brainliest i need help

Answers

Answer:

A-J=4

B-G=50

C-F=2

D-I=32

E-H=8

A store is having a​ going-out-of-business sale. A television set that originally cost ​$2,000 has been marked down by 25​%. What do you pay for the television set w

Answers

Answer:

$1500

Step-by-step explanation:

If the television is marked down by 25%, it means that the price was reduced by 25%. This means that the television would be 100% - 25% = 75% of the original price.

The price of the television following the mark down=

0.75 x ​$2,000 = $1500

when 2(3/5 x + 2/3 y - 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression?

Answers

Answer:

Simplifying  the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]

Step-by-step explanation:

We need to simplify the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]

First we will solve terms inside the bracket

[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]

Converting mixed fraction [tex]1\frac{1}{2} y[/tex] into improper fraction, we get: [tex]\frac{3}{2}y[/tex]

Replacing the term:

[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)[/tex]

Now, taking LCM of: 5,3,4,2 we get 60

Now multiply 60 with each term inside the bracket

[tex]2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)[/tex]

Now, combine like terms

[tex]2(36x-15x-90y+40y-180)\\2(21x-50y-180)[/tex]

Now, multiply all terms with 2

[tex]42x-100y-360[/tex]

So, Simplifying  the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]

If the Volume of a box is 250 feet3 and the height is 5 feet and the length is 5
feet, what is the measurement of the width?

Answers

Answer:

10 feet

Step-by-step explanation:

Use the volume formula, V = lwh, to solve for w

Plug in the values we know:

V = lwh

250 = (5)(w)(5)

250 = 25w

10 = w

So, the width is 10 feet

Select the correct answer.

Simplify.

Answers

Answer:

is it m-9?

Step-by-step explanation:

Answer:

its 1 /d

Step-by-step explanation:

6*3 is 18,

so its m^18 / m^18

which is 1

Have a good day!!!

Bill is looking for a job as a gym teacher. he plans to send resumes to 130 schools in his state. Kinko's charges $30 per 100 copies and sells them only in sets of 100.

a. How many copies will bill have to purchase if he is to have enough resumes?

b. how much will the copies cost bill, including the 6% sales tax?​

Answers

A. He will have to buy 200 copies
B. He will have to pay $60 for the copies plus the %6 tax which would be a total of $63.60

Answer please.............

Answers

Answer:

Option D: 1 is the correct answer.

Step-by-step explanation:

Given that:

n(x) = 7x+4        

n(x) = 11

Putting n(x) = 11 in first function.

11 = 7x + 4

Now, we will subtract 4 from both sides

11 - 4 = 7x + 4 - 4

7 = 7x

7x = 7

Dividing both sides by 7

[tex]\frac{7x}{7}=\frac{7}{7}[/tex]

x = 1

Hence,

Option D: 1 is the correct answer.

Can anyone help me please?

Answers

Answer:

area= 50.2654825

dssssss

Answer:

48 if pi is equal to 3

50.48 if pi is equal to 3.14

Step-by-step explanation:

Hi! If you could please do my assignment, I'd be grateful! I'll also mark brainliest, giving thanks, and hearts for the best. Thank you!!!

Answers

Answer:

1. AD

2. 5.2 cm

3. x = 4

4. BC

5. 3

6. x = 12

Step-by-step explanation:

Lucy has a variety of socks in her laundry basket. Without looking, she selects one sock, then
a second.
Are these two events dependent or independent?

Answers

Answer:

This is dependent because it depends what sock she picked out first.  It would be independent if she put the pulled out sock back into the container

Mary Beth could jump 42 times each minute. How many times could she jump in two hours explain to me step by step

Answers

if mary beth jumps 42 times per minute you need to figure out how many minutes in 2 hours (120 minutes). 42x120=5,040

Answer:

5,040 jumps

Step-by-step explanation:

Let's figure out the number of jumps per hour

42 steps/minute * 60 minutes/hour = 2,520 jumps/hour

Mary Beth is jumping for 2 hours, so we need to multiply by 2 hours.

2,520 jumps/hour * 2 hours = 5,040 jumps

If mZLKO = 72°, then what is mZJKH?
B
C
E
A
►F
H Η
M

Answers

Answer:

d-"5"_""__"_'uvyctxycuvycycycyv

A compound is made up of various elements totaling 90 ounces. If the total amount of uranium in the compound weighs 18 ounces, what percent of the compound is made up of uranium? If necessary, round your answer to the nearest hundredth.

Answers

Answer:

20%

Step-by-step explanation:

The percent of the compound that is made of uranium is calculated as:

(Number of ounces of uranium /Number of ounces of the compound)

× 100

Total amount of uranium in the compound weighs = 18 ounces

A compound is made up of various elements totaling = 90 ounces.

Hence:

= 18/90 × 100

= 1800/90

= 20%

Therefore, the percent of the compound that is made up of uranium is 20%

Decrease £280 by 15%

Answers

Answer:

238

Step-by-step explanation:

280 times 0.85 = 238

The table and the graph each show a different relationship between the same two variables, x and y:

How much more would the value of y be in the table, than its value on the graph, when x = 11?
Group of answer choices
110
170
385
495

Answers

Answer:

[tex]\displaystyle 385[/tex]

Step-by-step explanation:

The rate of change [slope] of the graph is 35, and for every two blocks you horisontally move represents seventy blocks vertical-wise, therefore an ELEVENTH block would require you to split 70 in half, giving you 35, then add this to 350 to get 385.

I am joyous to assist you at any time.

Answer:

The answer is Option B.) 385

Step-by-step explanation:

The pace of progress of the chart is 35, and for each two squares you horizontally move addresses seventy squares vertical-wise, thusly an 11 square would expect you to part 70 fifty-fifty, giving you 35, then, at that point, add this to 350 to get 385 as a result.

how did you solve 60 times 400

Answers

Answer:

24000

Step-by-step explanation:

You just multiply 60 times 400

=24000

Answer:

24,000

Step-by-step explanation:

trick: multiply 6 x 4 = 24 count the zeros (3 zeros) add the amount of zeros to the end of the number being 24 giving you 24,000

The gas tank in my car is 5/6 full . Each time I drive it to or from work I use 1/12 of a full tank of gas . Which equation represents the number of times I can drive to or from work with the gas in my tank

Answers

Answer:

5/6 = 1/12x

Step-by-step explanation:

x represents the amount of times you can can drive to or from work with the gas in the tank

5/6 = 1/12x

- Multiply both sides of equation by 12

10 = x

what is the measure of the central angle that represents blue backpacks?

Answers

Answer:

Yes it is 10

Step-by-step explanation:

Write the ratio in simplest form.



The ratio of green beads to blue beads is ???

Answers

3:6 but if u simplify it it will become

1:2

The dimensions of a square are altered so that 10 inches is added to one side while 1 inch is subtracted from the other. the area of the resulting rectangle is 80in^2. how much larger is the area of the rectangle compared to the square?

Answers

The area of the rectangle is 44 square inches larger than the area of the square.

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

Let represents the original side length of the square "s", then the dimensions of the rectangle are (s+10) inches and (s-1) inches.

So the area of the rectangle is (s+10)(s-1) = s² + 9s - 10.

Since the area of the rectangle is given as 80 square inches, we can set up the equation:

s² + 9s - 10 = 80

Solving this equation for s, we find that s = 6. This means that the original side length of the square was 5 inches.

The area of the square is s² = 6² = 36 square inches. So the area of the rectangle is 80 square inches and the area of the square is 36 square inches.

Therefore, the area of the rectangle is 80 - 36 = 44 square inches larger than the area of the square.

Learn more about the Area of the rectangle here:

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y = -2x + 11

What is the slope of the equation?

A) -11
B) -2
C) 9
D) 11

Answers

Answer:

-2

Step-by-step explanation:

you must follow the y=mx+b

m=slope

b=intercept

Answer:

B) -2

Step-by-step explanation:

y= -2x+11 is in slope-intercept form

y= mx+b

y= y-coordinate

x= x-coordinate

m= slope

b= y-intercept

m= -2

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