Given that rectangle MNOP ~ rectangle STUV, what is the length of ¯¯¯¯¯¯ T U ?Rectangle M N O P is shown with segment N O labeled 10 and segment O P labeled 4. rectangle S T U V is shown with segment T U labeled x and segment U V labeled 6

Answers

Answer 1

Answer:

[tex]TU = 15[/tex]

Step-by-step explanation:

Given

[tex]\square MNOP \simeq\ \square STUV[/tex]

[tex]NO = 10[/tex]

[tex]OP = 4[/tex]

[tex]TU = x[/tex]

[tex]UV = 6[/tex]

Required

Determine the length of TU (i.e. x)

Because both shapes are similar, then the following equivalent ratios exist:

[tex]NO : OP = TU : UV[/tex]

Substitute values for NO, OP, TU and UV

[tex]10 : 4 = x : 6[/tex]

Represent as fraction

[tex]\frac{10 }{ 4 } = \frac{x }{ 6}[/tex]

Multiply both sides by 6

[tex]6 * \frac{10 }{ 4 } = \frac{x }{ 6} * 6[/tex]

[tex]6 * \frac{10 }{ 4 } = x[/tex]

[tex]x = 6 * \frac{10 }{ 4 }[/tex]

[tex]x = \frac{60 }{ 4 }[/tex]

[tex]x = 15[/tex]

Hence:

[tex]TU = 15[/tex]


Related Questions

What is the value of y?

Enter your answer in the box.

y =

Answers

Answer:

180-79-37=101-37=64

y=64 degrees

Answer:

y = 64

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the given angles and equate to 180

y + 37 + 79 = 180

y + 116 = 180 ( subtract 116 from both sides )

y = 64

Solve 0 = x2 + 6x + 13 by completing the square.

A. x = 5 and x = 1
B. x = 3 + i22−−√ and x = 3 − i22−−√
C. x = −1 and x = 1
D. x = −3 + 2i and x = −3 − 2i

Answers

Answer:

x = -3 - 2i and x = -3 + 2i

Step-by-step explanation:

I was too lazy to complete the square but solved it on WolframAlpha

What is -5/3 divided by 1/6

Answers

Answer:

-10

Step-by-step explanation:

(-5/3)/(1/6)=(-5/3)(6/1)=-30/3=-10

Answer:

-10.

Step-by-step explanation:

-5/3 / 1/6

= -5/3 * 6/1

= -30/3

= -10.


How many solutions exist for the given equation?
3(x - 2) = 22 - x

Answers

Answer:

X=7  SO JUST 1

Step-by-step explanation:

1 cause x=7
Hope that helped

Jerry buys t-shirts for $6 each and marks up the price by 45%.
How much profit does Jerry make from each t-shirt sold?

help pleaseee

Answers

Answer:

$2.70

Step-by-step explanation:

to find out he marks up each shirt by, just do 45% of 6 or 0.45 * 6 = $2.70

If Jerry buys a t-shirt for $6 and sells it for 45% more than she bought it, then jerry is selling them for $8.70 and making $2.70 for each t-shirt she sells, because 45% of 6 is 2.7

You can find this answer by multiplying the percentage by the number (.45 x 6)

Plz answer quick hurry plz


Answers

Answer: x=12

Step-by-step explanation:

Jacob has 17 yards of fabric. He uses 1 third of it to make a cape. How many yards of fabric does Jacob use for the cape? Solve on paper. Write your answer as a mixed number. 17 yards ? Jacob uses yards of fabric for the cape

Answers

Answer:

The mixed number is 5  2 ÷ 3

Step-by-step explanation:

The computation of the number of yards of fabric does Jacob use is shown below:

Given that there is 17 yards of fabric

And, it used one third of it

So the number of yards would be

= 17 ÷ 3

= 5 2 ÷ 3

Hence, The mixed number is 5  2 ÷ 3

Round to the nearest thousand. 8,643​

Answers

Answer:9,000

Step-by-step explanation:

The 6 rounds the 8 up to a 9

(Sorry if wrong havent learned in a while)

9000.0
that’s the answer when the number before the one your doing is a 5 or higher it goes up to the next one if it’s lower it goes to a 0

What is another way that you could rotate a figure 270° counter-clockwise? Be sure to state the degree amount and the direction.

Answers

Answer:

Turning it 90 degrees clockwise.

Step-by-step explanation:

They are opposite, and 360 degrees is a complete turn. 360-270=90

A football team has a net yardage of-34 1/3 yards on a series of plays. The team needs a net yardage of 20
yards to get a first down. How many yards do they have to get on their next play to get a first down?

Answers

Answer:

Step-by-step explanation:

If you divide my number by "-5 and add -2, the result is -4. What's my number?

Answers

Answer:

10

Step-by-step explanation:

10/-5 = -2

-2+-2 = -4

Answer:

10

Step-by-step explanation:

First, arrange this word problem as an equation. Using N as the unknown number, we see:

(N/-5) + (-2) = -4

Next, we add -2 to both sides of the equation:

(N/-5) = -2

Now multiply both sides by -5:

N=10

Hope that helps!

Find the area 3/4 circle with the radius of 4.
THXXXXX

Answers

Step-by-step explanation:

If you were asking what is the 3/4 the area of circle with radius 4 I can answer this.

The area of a circle with radius 4 is π4 ^2=16π

3/4*16π= 12π, thus your answer.

-3(2x+7)+(-5x+6)–8(1—2x)-(x-3)=0.
alguien que porfis me ayude ​

Answers

-3(2x+7)+(-5x+6)-8(1-2x)-(x-3)=0

-6x-21-5x+6-8+16x-x+3=0

-6x-5x+16x-x=21+6-8+3

4x=22

x=5.5

What does the ratio 6:30 fully simplify to

Answers

Answer:

1:5

Step-by-step explanation:

6:30

divide 6 by 6 to get 1

divide 30 by 6 to get 5

Answer:

[tex]6:30 = \frac{6}{30}=\frac{1}{5} =1:5[/tex]

8х + 9y = 20
х= -3y

HELP ASAP

Answers

Answer:

x=4, y=-4/3. (4, -4/3).

Step-by-step explanation:

8x+9y=20

x=-3y

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

8(-3y)+9y=20

-24y+9y=20

-15y=20

y=20/-15

simplify

y=-4/3

x=-3(-4/3)=12/3=4

Answer:

Y=4/-3 X=4

Step-by-step explanation:

We must use substitution. If x is -3y, then we can either substitute all the x’s or y’s. I’ll substitute y.

8x+9y=20

8x+-3x=20

5x=20

x=4

x=-3y, so -3y=4. Y=4/-3

A
Consider that lines A and B are parallel. Which equation models the relationship between 21 and 25?
A)
21 = 25
B)
21+ 25 = 90°
9
21+ 25 = 180°
D)
21+ 25 = 100°

Answers

Answer:

C. 21+ 25 = 180°

Step-by-step explanation:

C is correct

Answer:

C. 21+ 25 = 180°

Pick a blue marble , a green marble , and another blue marble from a bag of 2 blues, 4 reds , 4 greens what is the probability

Answers

i hope my answer help you

Step-by-step explanation:

the probability of pick a blue marble =2/10 ( simplest form =1/5)

the probability of pick a green marble =4/10

the probability of pick another blue marble =2/10 ( simplest form =1/5)

Help me !!!!!!!!!!!!!!!!!

Answers

Answer:

D. Neither

Step-by-step explanation:

Ok so,

lets plug in the ordered pairs to see if the answer matches up. It should look like this:

7 = -2 - 5

7 = -7      DOES NOT MATCH; INCORRECT

now lets do it with the other ordered pair

-7 = -4 -5

-7 = -9        DOES NOT MATCH; INCORRECT

hope this helps, have a good day!

please mark brainliest if possible!!! :)

Answer:SEARCH UP ON THE INTERNET HEHEH

Step-by-step explanation:

Christina is having a Super Bowl party with 7 of her celebrity friends. Kobe lives 32 miles from Christina. Will Smith has to drive 32 miles to get to Christina’s. Kim Kardashian will drive 15 miles to get there. Wiz Khalifa is going to ride his bike 2 miles to get there. Andre 3000 is going to run 3 miles to get to Christina’s, and Lebron lives 32 miles from Christina’s house as well. Cardi B lives 45 miles from Christina. What is the median, mode, and mean of distance that they can travel? Complete the table below.

Answers

Answer:

Median: 32

Mode: 32

Mean of Distance: 22.60

Step-by-step explanation:

2, 3, 12, 32, 32, 32, 45

kobe 32 miles away

will smith 32 miles away

kim 12 miles away

wiz 2 miles away

andre 3 miles

lebron 32 miles

cardi b 45 miles

The 25 students in Mr. Martinez’s class vote on their favorite farm animal. 40% like pigs. How many students like pigs?

Answers

10 students like pigs

Answer:

10

Step-by-step explanation:

Does anyone know how to solve this? ​

Answers

Answer:

2 3/9  +  3 8/9 = 6 2/9

Hep I’m bout to fail if I don’t get this right will give brainless if correct

Answers

Answer:

[tex]x = 4[/tex]

[tex]ac = 56[/tex]

Step-by-step explanation:

[tex]6x + 3 = 7x - 1[/tex]

[tex]7x - 6x = 3+ 1[/tex]

[tex]6x + 3 + 7x + 1 = 56[/tex]

[tex]x = 4[/tex]

The Blue Shell's flight path is modeled by the equation:
y = -10x2 + 100x + 750
a) Fill in the table below. The points will be used to plot on the below graph to create a
parabola.
b) Based on the table, what is the maximum
Y у
height the blue shell reaches?

Answers

Answer:

1. I assume you just pick some arbitrary x and y numbers to plug in the equation. but if you answer part b and c first, part a might be easier for what values to choose.

2. if you do a quick browser search for how to find the max height of a parabola, then you can learn how to.

3. research on Browser. you can also just make y = 0.

vertex is max height, both zeros is just solving the equation for the x values. axis of symmetry is just the vertex point with a line through it.

- 4 ( x - 5 ) = 92

What is x?

Answers

Answer:

Let's solve your equation step-by-step.

−4(x−5)=92

Answer:

x=−18

Step-by-step explanation:

Answer:

x = 28

Step-by-step explanation:

4 ( − 5 ) = 9 2

4 − 2 0 + 2 0 = 9 2 + 2 0

4x =112

4x/4 = 112/4

x = 28

I NEED HELP!!

In the figure below, vertices D and F of
A DEF lie on CG. What is the measure of
DEF?

Answers

Answer:

D 108

Step-by-step explanation:

YOU CAN MARK ME AS BRAINIEST IF YOU WANT

What is the equation of a line that passes through the points 0,5 and 4,8 in slope intercept form

Answers

Answer:

y = 3/4 + b

Step-by-step explanation:

To get slope intercept form you need to have the y = then you need to find the slope which is y2 - y1 and x2 - x1, find the answer whether it be a fraction or a whole number. And since you don't know the y-intercept you mark the last integer as b, since you don't the answer. So it comes out to y = 3/4 + b

y = (3/4)x + 5

Using the two coordinates, you can find slope and y-intercept

y-intercept is 5, from the point (0,5)

slope is 3/4, from rise/run, and that 0 to 4 is 4, while 5 to 8 is 3.

Combine slope and y-intercept for slope intercept form

y = (3/4)x + 5

PLEASEEE HELP ME I HAVE 1 minute left

Answers

Answer:

2/3 is answer

Step-by-step explanation:

2/3
T

Explanation: 4 out of the 6 have names that start with m so if you go 4/6 divided by

Jake has a goal of riding his bike at least 60 miles. He rides at a rate of 12 miles per hour. Which inequality can Jake use to find h, the number of hours he should ride in order to meet or exceed his goal?

Answers

Answer:

[tex]12h\geq 60[/tex], [tex]h\geq 5[/tex]

Step-by-step explanation:

Speed of Jake [tex]=12[/tex] miles per hour

Let [tex]h[/tex] denotes the number of hours he should ride in order to meet or exceed his goal.

Distance travelled by Jake = Speed × Time = [tex]12h[/tex]

Jake has a goal of riding his bike at least 60 miles.

Therefore,

[tex]12h\geq 60[/tex]

[tex]h\geq \frac{60}{12} \\\\h\geq 5[/tex]

Find the slope of the line. Write your answer in simplest form.

Answers

-1/2 because the rise over run is -3/6 and simplified its -1/2

I need more help with my algebra

Answers

Answer:

- 29

Step-by-step explanation:

[tex]f(x) = - 5x + 1 \\ \\ f(6) = - 5(6) + 1 \\ \\ f(6) = - 30+ 1 \\ \\ f(6) = - 29[/tex]

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