7. Triangles CDE and RST are similar triangles. What is
the length of side CD in triangle CDE?
R
40 ft.
32 ft.
20 ft.
T
S

7. Triangles CDE And RST Are Similar Triangles. What Isthe Length Of Side CD In Triangle CDE?R40 Ft.32

Answers

Answer 1

Answer:

CD = 25 ft

Step-by-step explanation:

[tex] \triangle CDE \sim \triangle RST[/tex]

[tex]\therefore \frac{CD}{20}=\frac{40}{32}[/tex]

(Corresponding sides of similar triangles are in proportion)

[tex]\therefore \frac{CD}{20}=\frac{5}{4}[/tex]

[tex]\therefore CD = \frac{5}{\cancel 4}\times \cancel {20} \:\:\blue{\bold{5}} [/tex]

[tex]\therefore CD = 5\times 5[/tex]

[tex]\therefore CD = 25\: ft[/tex]

Answer 2

Answer:

CD = 25 ft

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{CD}{RS}[/tex] = [tex]\frac{CE}{RT}[/tex] , substitute values

[tex]\frac{CD}{20}[/tex] = [tex]\frac{40}{32}[/tex]  ( cross- multiply )

32CD = 800 ( divide both sides by 32 )

CD = 25


Related Questions

consider the function y 2x+3. which is true

Answers

Answer:

True

Step-by-step explanation:

if you really think about it you can use y for anything an dy is the most replaceable to have so i agree with your think hope it help man

Following are the solution to the given graph equation:

Given:

[tex]y<2x+3[/tex]

To find:

true points

Solution:

The shade appears below a broken (dashed) line inside the supplied graph equation because the value is less than (<).With shade above, the line will not be smudged.With shade above, the line will not be dashed.With shade below, this line would not be solid.

Therefore, the final answer is "None of these".

Learn more:

brainly.com/question/20050244

For one of my math assignments I have to find out which solution is,
One solution
Infinite solution
and No solution
what i've got for it is

y=x+6 and 3x-3y=-18 (Infantaly amount of solutions)
y=-4x+11 and -6+y=11 (One solution)
y=-2x+5 and 2x+y=-7(no solution)

Is this correct?

Answers

Answer:

yeah i think they are all right :)

Step-by-step explanation:

complete the statements.

Answers

the correct answer is A .

If the measures of two angles of a triangle are 102° and 27°, what is the measure of the third angle?
The measure of the third angle isº

Answers

Step-by-step explanation:

therefore the third angle is 51 degrees

isaac walks 6/10 of a mile in 1/5 of an hour. if his rate remains constant what is the walking rate in mph?

Answers

Answer A. 3 mph

A. 3 mph

word form 952.374 pls help

Answers

Answer:

WORD from the 2.O

Step-by-step explanation:

b) 7+2x/3 =5
helppppp

Answers

Answer:

4

Step-by-step explanation:

7+2x/3=5

7+2x. = 15

2x. =8

x. = 4

i hope it is helpful

Answer:

[tex] \frac{3x + 4}{2} = 9.5 \\ 3x + 4 = 19 \\ 3x = 15 \\ \boxed{x = 5}[/tex]

[tex] \frac{7 + 2x}{3} = 15 \\ 2x + 7 = 45 \\ 2x = 38 \\ \boxed{x = 19}[/tex]

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP!!!! I'LL GIVE BRAINLIEST


A 2-column table with 3 rows titled Units of Capacity. Column 1 is labeled Customary System Units with entries 1 gallon, 1 quart, 1 cup. Column 2 is labeled Metric System Units with entries 3.79 liters, 0.95 liters, 0.237 liters.


Sameer usually drinks 3 cups of coffee in the morning. How many liters of coffee does he drink? Round your answer to the nearest tenth.


3 cups/1 × new units/ original units = ?


Sameer drinks _____ liters of coffee in the morning.

Answers

Answer:

11.85 deciliters

Step-by-step explanation:

11.85 deciliters

Answer:

0.7

Step-by-step explanation:

Cece's dog loses 11b. Then her dog loses another 1.16. Finally, it
gains Ib. What is the total change in her dog's weight? Show your work.
PLEASE help it for math and it due today please help

Answers

Answer:

The total change in her dog's weight is 11.16 pounds lost.

Step-by-step explanation:

11+1.16=12.16

12.16-1=11.16

I need help ASAP I’ll mark brainliest help please #1

Answers

Answer:

B

Step-by-step explanation:

8-5=3, 1-(-7)=8, 3^2+8^2=73, and the square root of 73 is 8.5

3x -(-2-4x)=
What does this equals??

Answers

Answer:

7x + 2

Step-by-step explanation:

Original Equation: 3x − ( −2 − 4x)

First, we distribute the negative sign:

= 3x + (−1) (−2−4x)

=3x + (−1)(−2) + (−1)(−4x)

= 3x + 2 + 4x

Using the communitive property of addition, we can write:

= 3x + 4x + 2  (Instead of 3x + 2 + 4x)

Combining like terms, we get:

= (3x + 4x) + 2

= 7x + 2

What is a formula for the nth term of the given sequence? 48, 72, 108​

Answers

Answer:

[tex]a_n=48*1.5^{n-1}[/tex]

Step-by-step explanation:

Geometric Sequence

In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence:

48, 72, 108, ...

The common ratio is found by dividing the second term by the first term:

[tex]r=\frac{72}{48}=1.5[/tex]

To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.

Now we are sure this is a geometric sequence, we use the general term formula:

[tex]a_n=a_1*r^{n-1}[/tex]

Where a1=48 and r=1.5

[tex]\boxed{a_n=48*1.5^{n-1}}[/tex]

For example, to find the 5th term:

[tex]a_5=48*1.5^{5-1}=48*1.5^{4}=243[/tex]

Help plsssssss??!!!!!!

Answers

Answer

y= 12x-64

Step-by-step explanation:

   

(7,10) and (6,8)
= 8-10/6-7
= -2/-1
= 2
Also, I just want to say happy new year to you and also, have a fantastic rest of your day!
Also, can you please mark my answer as the brainliest answer?
Thank you so much!

Three pounds of bananas cost $7How much does 1 pound of bananas cost?

Answers

Answer:

Step-by-step explanation:

3 pounds:7 dollars

1 pound: 2.33 dollars

divide 3 by 3 to find 1. divide 7 by 3.

7/3=2.333 each pound of bananas will cost $2.33

Eugene had $24 to spend on three pencils.
After buying them he had $18. How
much did each pencil cost?


Answers

Answer:

$2

Step-by-step explanation:

First, we find the total he spent on the three pencils.

$24 - $18 = $6

He spent $6 on the 3 pencils.

Now we find how much each pencil cost.

$6/3 = $2

Answer: $2

Answer:

Each pencil cost 2$

First I did what he has to spend 24 then subtracted 18 from it what he had left that gave me 6. Next knew that he had bought three pencils so I did 6 divided by 3 and that left me with an answer of 2 so 2$

Hope this helped and if its not a problem could i gt brainliest?

36/42 = 24/r what is r

Answers

Answer:

r=28

Step-by-step explanation:

36/42 = 24/r (determine the defined range)

36/42 = 24/r , r ≠ 0 ( Reduce the fraction)

6/7 = 24/r (cross multiply)

6x = 168 ( divide both sides)

r=28 , r ≠ 0

Answer:

r = 28

Step-by-step explanation:

Cross multiply and solve for r:

[tex]\frac{36}{42}[/tex] = [tex]\frac{24}{r}[/tex]

36r = 1008

r = 28

So, r = 28

The cost to rent a truck is $75 flat fee, plus $0.55 per mile driven. The table below shows the total cost of the renting the truck for the first four miles.

Answers

Answer:

75+ 0.55x = total amount

75 + (0.55 X 60) = $108

Step-by-step explanation:

x is a variable and represents the number of miles you drive, since you drive 60 miles you should figure out how much is 60 miles then add the flat fee of 75

What is the equation of the line that passes through the point (-2, 1) and has a
slope of 3/2?

Answers

Answer:

y=3/2+4

Step-by-step explanation:

What is the domain of the following function?

Answers

Answer:

(-2,7)

Step-by-step explanation:

2+0+3+4+9+6 ?? please

Answers

Hey there!

The answer is 24

2+0

2

2+3

5

5+4

9

9+9

18

18+6

24

Have a good day!

P.S. UMMMMMMMMM

Select the correct answer.
Graph the following system of inequalities.
y>1/3x-2
y <-4x-2

Answers

Graph-X represents the given set of inequalities.

What is inequality?

"An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions."

Given two inequalities are:

1. y > (1/3)x - 2

If we compare it with the slope-intercept form of a line, then:

Slope = 1/3, y-intercept = - 2

Therefore, the line cuts the y-axis at x = - 2.

Here, the greater than sign indicates that the graph would be shaded down.

2. y < - 4x - 2

If we compare it with the slope-intercept form of a line, then:

Slope = - 4, y-intercept = - 2

Therefore, the line cuts the y-axis at x = - 2.

Here, the less than sign indicates that the graph would be shaded up.

Therefore, Graph-X represents the given set of inequalities.

Learn more about the inequality here: https://brainly.com/question/11116384

#SPJ3

Write a system of inequalities

Answers

assuming the scale here but;
2x+1
x-1>y

colin buys a tv for £780. It depreciates at a
rate of 5% per year. how much will
it be worth in 6 years

Answers

Answer:

Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.

four rolled-up dollar bills seeming to grow out of dirt, with a miniature rake lying in between them

SIMPLE ONE-TIME INTEREST

I=POrA=P0+I=P0+P0r=P(1+r)

I is the interest

A is the end amount: principal plus interest

P

0

is the principal (starting amount)

r is the interest rate (in decimal form. Example: 5% = 0.05)

Step-by-step explanation:

Pleaseee help I want to sleep xD (There's a screenshot)

Answers

Answer:

It would be the first one

Explanation:

If u want an explanation don’t hesitate to ask but if u don’t then go to sleep!!

The model represents the equation 3x - 2 < 4 what is the solution for this inequality

Answers

Answer:

x < 2

Step-by-step explanation:

3x - 2 < 4

   + 2 | + 2

------------------

    3x < 6

         ↓

(3x) / 3  <  6 / 3

         ↓

       x < 2

a camera listed price of $535.98 before tax. If the sales tax rate is 9.75%, find the total cost of the camera with sale tax included. Round your answer to the nearest cent, IF needed.

Answers

Answer:

The camera's final price will be $588.24.

Step-by-step explanation:

First you want to turn the percent into a decimal. 9.75%=.0975

Then, you want to multiply 535.98 by .0975.

You get $52.26 when you round to the nearest cent. The you add 52.26 to the original price and you get your answer!

Solve the Inequality. Please help answer needed fast! :)
m - 3 > -2

Answers

Answer:

[tex]m - 3 > - 2 \\ m > - 2 + 3 \\ m > 1[/tex]

Answer:

1

Step-by-step explanation:

Help me pls ASAP thank you have a great day!!

Answers

Answer:

Dude like I just answered the previous question. Try doing it by yourself. Lol

What is the value of 80 + 57

Answers

137

have a good day. hope i helped

Answer:

137

Step-by-step explanation:

Add 80 and 57.

8x - 4
6x + 8
Find the measure of angle 1.

Answers

Answer:

44°

Step-by-step explanation:

8x-4 = 6x+8

8x - 6x = 8 + 4

2x = 12

x = 12/2

x = 6

then:

8*6 - 4 = 48 - 4 = 44°

The measure of angle 1:

44°

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