Consider the enlargement of the pentagon. A small pentagon has a bottom side length of x centimeters and left side length of 7 centimeters. A larger pentagon has a bottom side length of 7 centimeters and left side length of 15 centimeters. Not drawn to scale What is the value of x, rounded to the nearest tenth? 2.1 centimeters 3.3 centimeters 7.0 centimeters 15.0 centimeters

Answers

Answer 1

Answer:

[tex]x = 3.3cm[/tex]

Step-by-step explanation:

Given

Shape: Pentagon

Small

[tex]Bottom = x[/tex]

[tex]Left = 7cm[/tex]

Big

[tex]Bottom = 7cm[/tex]

[tex]Left = 15cm[/tex]

Required

Find x

From the question, we understand that the big pentagon is a dilation of the small pentagon.

What this means is that; both pentagons will have the same equivalent ratio.

The equivalent ratio, in this case is calculated using

[tex]Ratio = \frac{Bottom}{Left}[/tex]

For the small pentagon:

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

For the big pentagon:

[tex]Ratio = \frac{7cm}{15cm}[/tex]

Equate both ratios:

[tex]\frac{x}{7cm} = \frac{7cm}{15cm}[/tex]

[tex]\frac{x}{7cm} = \frac{7}{15}[/tex]

Cross multiply

[tex]15 * x = 7cm * 7[/tex]

[tex]15 * x = 49cm[/tex]

Make x the subject

[tex]x = \frac{49cm}{15}[/tex]

[tex]x = 3.267cm[/tex]

[tex]x = 3.3cm[/tex] --- approximated

Answer 2

Answer:

The answer should be 3.3

Step-by-step explanation:

I'm taking the test right now.


Related Questions

help
(04.03) The table shows the ratio of caramel corn to hot pepper corn in a bag. What is the constant of proportionality?


Hot Pepper Corn Caramel Corn
5 8
10 16
15 24
3
8
1.6
0.625

Answers

Answer:

0.625

Step-by-step explanation:

To solve the problem, we merely just divide the rates by each other. Ratios are just the fractions of two terms, after all.

Therefore, the answer would be 5/8, or 0.625.

To verify, we can use the other values given in your question.

10/16 is also an answer, but when you simplify, you get 5/8, which gives the same answer- 0.625.

You can do the same with the other ratios given.

15/24 simplified is 5/8, which, once again, is 0.625.

Thus, I can say with certainty that the answer is 0.625.

Hey there!! I just did this assessment (I got them all correct) the correct answer was 1.6

I hope this helps!

( please don't just skip because I don't have an explanation. pwease!)

(This is correct!!!!!!!!!!!!!!!!!!!!!)

You hike up a mountain. You climb steadily for 2 hours, then take a 30-minute break for lunch. Then you continue to climb, faster than before. When you make it to the summit, you enjoy the view for an hour. Finally, you decide to climb down the mountain, but stop halfway down for a short break. Then you continue down at a slower pace than before. Sketch a graph of the situation. a. Height (feet) Time (hours) b. Is the graph discrete or continuous? Explain your reasoning. ​

Answers

Answer:

Continuous

Step-by-step explanation:

The graph is considered continuous due to the fact that it can take any amount of height, weight, and temperature. If it was discrete there would be a limit to your hike.

I really hope this helped you, please be sure to make my answer brainiest. Thank you and have a great night sleep / or have a great day! :D

Rhonda bought 16.72 meters of yarn from the fabric store. She cut the yarn into 11 pieces of equal length. What was the length of each piece of yarn in meters?

Answers

The answer will be - 1.52 meter each piece

HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

For Which expression is of trinomial degree 1?
6+X-y
For what is the value of M
5

simplify (y⁴)² help me plz I'm noy good at maths ​

Answers

Step-by-step explanation:

Law of Indices: (a^m)^n = a^(mn).

Therefore (y⁴)² = y^(4*2) = y⁸.

Step-by-step explanation:

[tex] = ({y}^{4})^{2} \\ the \: power \: gets \: \: multipied \\ = ( {y})^{8} [/tex]

Hope it will help :)❤

A tree casts a 249 centimeter shadow. A person next to the tree casts a 91 centimete
shadow. If the person is 169 centimeters tall, how tall is the tree to the nearest
centimeter?

Answers

462.4
462 cm

169x249 divided by 91

What is the I intercept of a line given by the equation Y=2X-5?

Answers

Answer:

slope intercept form of a line is

y = mx+b

where m is the slope and b is the y intercept

y=2x-5

2 is the slope and -5 is the y-intercept

Step-by-step explanation:


b) 66 060
Ce nombre est divisible par

Answers

6 + 6 + 0 + 6 + 0 = 18

18 donc oui par 3 et par 9!

I need this answer ASAP

Answers

Answer:

166m

Step-by-step explanation:

To calculate the area you multiply the length of all the pieces and add them to get. 4x5=20 then double that because there is 2 of those pieces and do the same for the rest of them. After all the multiplying you should get 40, 70, and 56 add them all up to get the answer

100 points! Help please! Due at midnight. I will mark brainliest. No random answers please or I will report u :)

Answers

The friend is incorrect because 2 translations would just move the shape to a different area, then a reflection would reflect it.

Long story short: if you do to translations that only move in one direction for ex. X+10 y+ 0 then it will be a glide reflection

Answer:

"My" friend is incorrect because, two translations would just move to it to a different area. While a reflection on the other hand will create that reflection that we need.

Step-by-step explanation:

A music store buys instruments and then sells them for 30% more than they paid.

If the store buys a guitar for $45, what will the store sell it for?

Answers

$58.50

30% of 45 is 13.5, and 13.50 plus 45 is 58.50

Answer:

$58.50

Step-by-step explanation:

30% of 45 is 13.50 and 13.50 plus 45 is 58.50

Please help I need this soon

Answers

Answer: C = -6.3

Step-by-step explanation:

plz help will give brainliest

Answers

Answer:

Step-by-step explanation:

Its the fourth choice, 8000 is closer to 8132 so you would round that down instead of choosing 8500. Also, 8000 ÷ 20 = 400

find the additive inverse of-9x+3​

Answers

Answer:

9x − 3

Step-by-step explanation:

−9x + 3 = −1(−9x + 3) Multiply the expression by −1.

−1(−9x) + −1(3) Distributive Property

9x − 3 Simplify.

The additive inverse of the given expression is 9x-3​.

The given expression is -9x+3.

What is additive inverse?

The additive inverse of a number is its opposite number. If a number is added to its additive inverse, the sum of both the numbers becomes zero. The simple rule is to change the positive number to a negative number and vice versa.

The additive inverse of the expression is -(expression).

Now, -(-9x+3)

= 9x-3

Therefore, the additive inverse of the given expression is 9x-3​.

Learn more about the additive inverse here:

brainly.com/question/24149673.

#SPJ2

The manager of a symphony in a large city wants to investigate music preferences for adults and students in the city. Let pA represent the population proportion of adults who live in the city who prefer pop music. Let pS represent the population proportion of students who live in the city who prefer pop music. Random samples of 200 adults from the city and 200 students from the city will be selected. Which of the following is the best interpretation of P(pˆA−pˆS>0)≈0.022 ?

Answers

Answer:

Answer E

Step-by-step explanation

The statement gives a probability of approximately 0.022 for the difference in sample proportions, pˆA−pˆS, being greater than 0.

The interpretation of the given expression is "the difference between the population proportion of adults and the population proportion of students who prefer pop music is approximately 0.022".

Given :

pA is the population proportion of adults.pS is the population proportion of students.The total number of adults is 200 and the total number of students is also 200.

The following steps can be used in order to determine the best interpretation of the given expression:

Step 1 - According to the given data, pA is the population proportion of adults who live in the city who prefer pop music.

Step 2 - Also given that pS is the population proportion of students who live in the city who prefer pop music.

Step 3 - So, the interpretation of the given expression is "the difference between the population proportion of adults and the population proportion of students who prefer pop music is approximately 0.022".

Therefore, the correct option is A).

For more information, refer to the link given below:

https://brainly.com/question/8069952

15) The baseball coach bought 6 new baseballs for $1.20 each. The basketball coach
bought 5 new basketballs for $9.10 each. How much more did the basketball coach
spend than the baseball coach?

Answers

Answer:

$38.3

Step-by-step explanation:

Baseball = $7.2

Basketball = $45.5

45.5-7.2 = 38.3

The following is the set of scores Ivy earned on her science tests. What is the mean of her test scores? 86, 94, 88, 82, 95

A. 86
B. 71
C. 85
D. 89 <------​

Answers

Answer:

d

Step-by-step explanation:

add them all up then divide by 5

Can someone please find x :) it will be much appreciated !! 20 points.
-5/6x -7/30x + 1/5x = -52

the answer will be a whole number or a simplified fraction.

Answers

Answer:

x=60

Step-by-step explanation:

my dad is a math teacher so I am good at math. I also used a calculator

Crafter's Warehouse sells 3 yards of gray tulle for $5.63. They sell 6 feet of black tulle for $3.58. Which tulle has the better price?

Both tulles have the same price per foot.
The gray tulle has a better price.
The black tulle has a better price.

Answers

Answer:

The black tulle has a better price.

Step-by-step explanation:

The black tulle has a better price because its cost is less. Then the correct option is C.

What is the rate?

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Crafter's Warehouse sells 3 yards of gray tulle for $5.63. They sell 6 feet of black tulle for $3.58.

The units rate price of gray tulle will be given as,

⇒ $5.63 / 3

⇒ $1.88 per yard

The units rate price of black tulle will be given as,

⇒ $3.58 / 6

⇒ $0.60 per yard

The black tulle has a better price because its cost is less. Then the correct option is C.

More about the rate link is given below.

https://brainly.com/question/14731228

#SPJ2

what subtracted by 26 equals -102​

Answers

Answer:

-76

Step-by-step explanation:

Someone help plz I need some help help... plz... I? Help

Answers

Answer:

12

Step-by-step explanation:

h(n)=3n

h(4)

1. Subsitute 4 for n

h(4)=3*4

h(4)=12

Answer:

12

Step-by-step explanation:

h(4)=3n

h(4)=3(4)

h(4)=12

44 mi/h ≈ _______________ yd/min

Answers

1290.67 tha the answer

What is the relationship between the following pair of angles.

A. Linear Pair

B. Vertical Angles.

C. Complementary Angles.

D. Supplementary Angles. ​

Answers

Answer:

the relation is complementry angles.

Select the correct
inswer
Which term is a term in this expression?
-3x - 7(x + 4)
A.-3
B. 3x
C.-7
D. X+4

Answers

just plug it in and check— trust me, best trick in the book. for this one, there’s no need.

what is a term? it’s when the variable is on a constant— 3x

HELP I NEED HELP ASAP

Answers

Answer:

Step-by-step explanation:

yes his work looks good

step 1   multiply both side by 2

step 2 subtract both side by 6

step 3 divide both side by 5

:)

what is computer answer

Answers

Step-by-step explanation:

A programmable electronic device that performs mathematical calculations and logical operations, especially one that can process, store and retrieve large amounts of data very quickly; now especially, a small one for personal or home use employed for manipulating text or graphics, accessing the Internet, or playing games or media is computer.

Hope it helps :)❤

Dario increased his savings from $350 to $413. What is Dario's percent increase in
savings?

Answers

Answer:

18%

Step-by-step explanation:

63/350 × 100 = 18

hope this helps

which point on the number line represents -1 1/3?​

Answers

Answer:

C. point R

Step-by-step explanation:

Hector took out a small loan of $900 for 18 months (remember to turn this into
years). The simple interest rate on the loan was 10.5%. How much will he pay in
interest on the loan?

Answers

Answer:

$141.75

Step-by-step explanation:

(900)(-105) (13/12) or 1.5

PLEASE HELP FAST!! ❤️

for 15 points

Answers

Answer:

2/3?

Step-by-step explanation:

I'm not sure

y=2/3-7 is the equation in slope form
Other Questions
what is what what is the unit rate of what is the unit rate if armon by 6 shirts for $74.70 What expression below is equivalent to 3a + 12?3(a + 12).3(a + 4)C.15 + aD.15a Does magnetism depend on size? According to the segment, what percentage of your wardrobe should be fads?A)Fifty percentB)Forty percentC)Thirty percentD)Twenty percent 4Maurice et son frre achtent un film qui cote 26$. Maurice dbourse 4 fois plus d'argent que son frre. Quelle est lapart paye par chacun des frres? What are the two reform movements that were a result of the Second Great Awakening?Help It takes about 20 hours to drive from Columbus to Houston which is about 1180 miles. What is the unit rate? Miles per hour LOCK #2 The answer to the second lock is the number of self-portraits Van Gogh painted between the years of 1886 and 1889, (SEE HELPFUL LINK IN CLUE) PLUS the number of self-portraits shown in the video in the special exhibition gallery. (CLUE 2) The simplest structures that can carry out all of the activities characteristic of life are:A. cells.B. atoms.C. molecules.D. crystals. Essential Question (EQ): How were Japanese civilizations influenced by neighboringcultures? 5x 2 - 8+ 4SOMEONE HELP PLS AND THANK U:)!! If x and y vary directly, and x 60 wheny= 5, what is the value of y when x =36? Use the figure and find LN, if LM=6x and MN=2x+12 PLS HURRY I ll mark brainliestDescribe each as below sea level, at sea level, or above sea level.Death Valley sits at an elevation of 282 feet. The elevation of Mount Whitney is 14,494 feet. The elevation of the Singapore Strait is 0 feet. Can anyone help me. . . HURRY ANSWER NOW AND I GIVE BRAINLY!!! HURYYY1. A student left a sealed jar of water outside her home. Water can be a solid, liquid, or gas. When she put it outside, the water was a solid. Twelve hours later, the water had changed phase and was a liquid. What happened to the water molecules? Kim rols three 6 sided dice.The product of her numbers is 60a) What numbers could she have rolled? What became of most of the Central powers colonies after World War I? They became independent nations. They remained colonies of Central Powers nations. They became League of Nations mandates. They were run by the League of Nations. Henry went clothes shopping and bought 3 pairs of shorts for $22.99 each, 2shirts for $32.99 each and one pair of shoes for $54.99. What is the mostreasonable estimate of the total amount he spent on all the clothing?A. $135B. $184C. $190D. $223 what is 5x^2y^-3 simplified?