These triangles are scaled copies of each other.

For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first?

Answers

Answer 1

Answer/Step-by-step explanation:

Recall: the ratio of the areas of two similar figures = the square of the ratio of the corresponding sides of the similar figures.

This will give us the scale factor.

The scale factor indicates how many times larger the second triangle is than the area of the first.

Let's find how many times larger is the area of the second triangle is to the first:

1. ∆ G And ∆ F

[tex] \frac{Area_{F}}{Area_{G}} = \frac{side_{F}^2}{side_{G}^2} [/tex]

[tex] \frac{Area_{F}}{Area_{G}} = \frac{6^2}{3^2} [/tex]

[tex] = \frac{36}{9} = 4 [/tex]

∆F is 4 times larger than ∆G

2. ∆ G And ∆ B

[tex] \frac{Area_{B}}{Area_{G}} = \frac{side_{B}^2}{side_{G}^2} [/tex]

[tex] \frac{Area_{B}}{Area_{G}} = \frac{2^2}{4^2} [/tex]

[tex] = \frac{4}{16} = 0.25 [/tex]

∆B is 0.25 times ∆G

3. ∆ B And ∆ F

[tex] \frac{Area_{G}}{Area_{B}} = \frac{side_{F}^2}{side_{B}^2} [/tex]

[tex] \frac{Area_{F}}{Area_{B}} = \frac{8^2}{2^2} [/tex]

[tex] = \frac{64}{4} = 4 [/tex]

∆F is 16 times larger than ∆B

4. ∆ F And ∆ H

[tex] \frac{Area_{H}}{Area_{F}} = \frac{side_{H}^2}{side_{F}^2}} [/tex]

[tex] \frac{Area_{H}}{Area_{F}} = \frac{2^2}{6^2} [/tex]

[tex] = \frac{4}{36} = \frac{1}{9} [/tex]

∆H is ⅑ times ∆F

5. ∆ G And ∆ H

[tex] \frac{Area_{H}}{Area_{G}} = \frac{side_{H}^2}{side_{G}^2} [/tex]

[tex] \frac{Area_{H}}{Area_{G}} = \frac{2^2}{3^2} [/tex]

[tex] = \frac{4}{9} [/tex]

∆G is 4/9 times ∆G

6. ∆ H And ∆ B

[tex] \frac{Area_{B}}{Area_{H}} = \frac{side_{B}^2}{side_{H}^2} [/tex]

[tex] \frac{Area_{B}}{Area_{H}} = \frac{1.5^2}{2^2} [/tex]

[tex] = \frac{2.25}{4} = 0.6 [/tex] (nearest tenth)

∆B is 0.6 times ∆H

Related Questions

The probability that an event will happen is P(E)=
34/41.
Find the probability that the event will not happen.

Answers

Answer:

7/41

Step-by-step explanation:

There is a 34/41 probability that this event will happen so to find the probability of which the event will not happen, the subtract 34 from 41 to get your answer.

41-34=7

Therefore, 7/41 is the answer.

Ps. is the P(E) included in the main question? if it is, the the answer might differ from the one I am giving you.

Which table of ordered pairs represents a proportional relationship?

Answers

Answer:

2nd one

For example 5 squared is 25, 7 Squared is 49, and 9 Squared is 81

Elena draws a scale drawing for a garden in her backyard. The scale drawing is 3 inches by 6 inches. The garden will be 12 feet by 24 feet. What is the scale of the drawing in inches to feet? IF YOU ANSWER THIS QUESTION RIGHT I WILL MARK YOU BRAINLIEST 50 POINT QUESTION

Answers

plzzz give brainliest i really need it for my next rank

Answer:

1 inch= 4 feet for both

Step-by-step explanation:

This also means that the scale converts to 1/4 in. = 12 in.

stay safe

Using proportions, it is found that the scale is of 0.25 inches per feet.

This question is solved by proportions, using a rule of three.3 inches represents 12 feet, while 6 inches represents 24 feet. Since they are multiples, we take one of them, and find how many inches are represented by 1 feet.

The rule of three is:

3 inches - 12 feet

x inches - 1 feet

Applying cross multiplication:

[tex]12x = 3[/tex]

[tex]x = \frac{3}{12}[/tex]

[tex]x = \frac{1}{4}[/tex]

[tex]x = 0.25[/tex]

The scale is of 0.25 inches per feet.

To learn more about proportions, you can check https://brainly.com/question/24372153

what is a median of 11,16,29,29,29,33,52,52,52

Answers

29 is the median
If you just count all then the half number will be the 3rd 29

A speedboat moves at a rate of 25 km/hr in still water. How long will it take
someone to ride the boat 87 km downstream if the river's current moves at a rate of
4 km/hr?

Answers

3 hours

I hope this helps you

Use the digits 1-5 to make the smallest whole number possible. Write your answer in standard, expanded, and word form.

Answers

Answer:

1 in standard form, 1 in expanded form, and one in word form.

Step-by-step explanation:

Hope this helps! If it does, please mark me brainliest! Thank you! ;)

Find the slope of the line passing through the points (8, 3) and (9, 7)

Answers

Answer:

Step-by-step explanation:

Since we have 2 points, we can find the slope using

m = ( y2-y1)/(x2-x1)

= ( 7-3)/(9-8)

= 4/1

= 4

Given Points:

(8, 3) and (9, 7)

To Find:

The slope of the line passing through the points (8, 3) and (9, 7).

Slope Formula:

y2 - y1 / x2 - x1

Solution:

7 - 3 / 9 - 8

= 4 / 1

= 4

Answer:

Inverse functions, PLEASE HELP I’m stuck

Answers

I learned how this week so I can help3/4

If 9% of a number equals 5, find 36% of that number.

Answers

Answer:

Step-by-step explanation:

You can set this up in an algebraic equation:.09x=5 which translates to 9% times a variable or unknown number equals 5Divide both sides by .09 which turns to 55.5 Multiply by .36 to find 36% of that number which equals 20

If $8500 is invested at 3.4% interest, compounded monthly, how much will the
investment be worth in 23 years?
O A. $18,339.66
O B. $9,071.53
O C. $19,142.10
O D. $18,559.10

Answers

Answer:

In 23 years, you will have $18,559.10

Step-by-step explanation:

What standard measurement would be best used to determine how much milk is in a milk carton for lunch?

Answers

liters

hope this helps

Pablo's retirement party will cost $8 if he invites 4 guests. If there are 6 guests, how
will Pablo's retirement party cost? Solve using unit rates.

Answers

Answer:

$12

Step-by-step explanation:

Step 1:

$8 : 4 = x : 6

Step 2:

4x = 48

Answer:

x = 12

Hope This Helps :)

If the temperature in Texas dropped 35 degrees in 7 hours on Tuesday. What is the change over time?

Answers

Answer:

5 degrees every hour.

Step-by-step explanation:

35/7=5

Answer: 5

Step-by-step explanation:

35 degrees / 7 hours = 5 degrees per hour

1. Round off each of the following to the nearest whole number.
(a) 8.71
(b) 26.01
(c) 69.48
(d) 103.72
(e) 49.84
(f) 101.35
(g) 39.814
(h) 1.23

Answers

☽------------❀-------------☾

Hi there!

[tex]8.71 = 9[/tex]

[tex]26.01 = 26[/tex]

[tex]69.48 = 69[/tex]

[tex]103.72 = 104\\49.84 = 50\\101.35 = 101\\39.814 = 40\\1.23 = 1[/tex]

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

Step-by-step explanation:

Look at tenth place. If it is 5 , 6 ,7 , 8, 9 ( 5 or more than 5)then add 1 to the whole part and that is your answer

If it is 0,1,2,3,4, then write the whole number as it it.

a) 8.71

tenth place is 7 and it is more than 5. so, add 1 to the whole part. 8+1 = 9

8.71 = 9

b) 26.01

Tenth place is 0 and it is less than 5.So, write the whole number as it is.

26.01 = 26

c) 69.48 = 69 { 4 is less than 5}

d) 103.72 = 104 { 7 >= 5}

e) 49.84 = 50 { 8 >= 5}

f)101.35 = 101

g) 39.814 = 40

h)1.23 = 1

A coin was tossed 60 times and the coin landed on Heads 35 times. What proportion of the time did the coin land on Heads?
Type your numeric answer and submit

Answers

Answer:

35:60 times

Step-by-step explanation:

The proportion of time in which the coin land on Heads is 0.58

What is proportion?

A proportion is an equation in which two ratios are set equal to each other.

Now it is given that,

Number of times coins tossed = 60

Number of times coin landed on Heads = 35

Therefore, the proportion of time in which the coin land on Heads is given as,

Proportion of time the coin land on Heads = Number of times coin landed on Heads/Number of times coins tossed

⇒ Proportion of time the coin land on Heads = 35/60

⇒ Proportion of time the coin land on Heads = 7/12 = 0.58

Thus, the proportion of time in which the coin land on Heads is 0.58

To learn more about proportions:

https://brainly.com/question/8099778

#SPJ2

What am I doing wrong in step 5?

Answers

Step-by-step explanation:

t = 9x, and dx = 1/9 dt.

∫ sin(9x) dx

= ∫ sin(t) (1/9 dt)

= 1/9 ∫ sin(t) dt

= -1/9 cos(t)

= -1/9 cos(9x)

Tula can paint 2/3 of a room in 3/4 hours. How many rooms can she paint in one hour?

Answers

Answer:

She can paint 1 1/2 of a room

Step-by-step explanation:

I believe...

Answer:

8/9

its just simple equations

you do 2/3 divided by 3/4 for the unit rate.

What’s the answer confused with this ??

Answers

Answer:

x = - 1

option I

Step-by-step explanation:

Equation is: 5x + 6 = 1

Subtract 6 from both sides

5x + 6 - 6 = 1 -6

5x = -5

Divide both sides by 5

5x / 5 = -5/5

x = -1

andrea is three times older than eliza. suzie is 4 years older then eliza. if eliza's age can be represented by x, create an expression that represents the combined age of all three girls

Answers

Answer:

Combined age = 5x+4 years

Step-by-step explanation:

let Eliza's age be x

given that Andrea is three times older than Eliza, hence Andrea's age is

= 3x years

it is also given that Suzie is 4 years older than eliza, hence Suzie's age is

= (x + 4) years

Therefore the combined age

= Eliza's age + Andrea's age + Suzie's age

= x + 3x + (x+4)

= x + 3x + x + 4

= 5x + 4

adfh9qgfW9PGFgfogfwgr0fgwpORGFOAWGRO7GTFWARF

Answers

Answer:

sgjajzbjsjshissnbsjakskdksoddj XD

Step-by-step explanation:

8 1/3 in 10 minutes

find unit rate

Answers

Umm it the unit rate is

Whats the answer for −2 1/2,−5 3/4 The distance between the two numbers is

Answers

Answer:

3 1/4

Step-by-step explanation:

-5 3/4 + 3 1/4 = -2 1/2

What are two different methods you can use to withdraw money from your checking account?

Answers

Answer:

You can withdraw by automatic electronic transfer, check, ATM card or debit card. There are many ways these days to withdraw money from your accounts.

Joyce saved $130 on an item that was 35 % off. What was the original price?

Answers

Answer:

x=$200

Step-by-step explanation:

cross-multiply

130=0.65x

the original price would’ve been $200

There are 4 consecutive integers that have a sum of 34. What are the integers

Answers

Answer:

consider integer are x, x+1, x+2, x+3

now x+(x+1) + (x+2) + (x+3) = 34

or, 4x + 6 = 34

or, 4x =28

x= 7

x =7

x+1 = 7+1 =8

x+2= 7+2=9

x+3= 7+3 =10

Answer:

Step-by-step explanation: 7,8,9,10

Solve for g.
4(g - 17) = 12
g=

Answers

Answer:

[tex]g=20[/tex]

Step-by-step explanation:

[tex]4\left(g-17\right)=12[/tex]

Divide both sides by 4:

[tex]\frac{4\left(g-17\right)}{4}=\frac{12}{4}[/tex]

[tex]g-17=3[/tex]

Add 17 to both sides:

[tex]g-17+17=3+17[/tex]

[tex]g=20[/tex]

Answer: g=0 or g=20 i hope this helped

Place the numbers in order from least to greatest.
0.24,4 x 10^-2,0.042, 2 x 10^-4,0.004

Answers

Answer:

2x10^-4,0.004,4x10^-2,,0.042,0.24

Step-by-step explanation:

i did the paper

Solve the following inequality 90 > 10x + 80

Answers

Answer:

x<1

Step-by-step explanation:

10x + 80 < 90

10x < 90 - 80

10x < 10

x < 1

The larger of two numbers is four more than the smaller. If the larger is x, what is the smaller?

Answers

Answer:

Step-by-step explanation:

x is the larger. The smaller is 4 less than the larger

x - 4 would be the smaller.

Answer:

x-4 is the smaller

Marissa drives from her house to work at an avg speed of 40mph. She drives home sameroute at 60mph. Entire round trip is 45 minutes, what is her avgspeed in mph?

Answers

Answer:

50mph

Step-by-step explanation:

to to find the mean you add 40 + 60. which equals 100 then divide by the amount a variables which is two.

50 mph is correct. The 45 minute round trip is actually useless information in answering this question. You can divide 60+40 by 2 or in this case, when you only have 2 numbers to look at, you can find the median and the median will be the same as the mean. Unless you’re very comfortable with finding averages, I wouldn’t suggest calculating this by the median, but that is what I did because I’m very familiar with the pattern of finding means.

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These triangles are scaled copies of each other. For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first?

Answers

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These triangles are scaled copies of each other.

For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first?