Find the missing length marked with a question mark.
UVW-USR

Find The Missing Length Marked With A Question Mark.UVW-USR

Answers

Answer 1

Given:

[tex]\Delta UVW\sim \Delta USR[/tex]

To find:

The missing length marked with a question mark.

Solution:

Let x be the missing value.

We have,

[tex]\Delta UVW\sim \Delta USR[/tex]

Corresponding sides of similar triangles are proportional, so

[tex]\dfrac{UV}{US}=\dfrac{VW}{SR}=\dfrac{UW}{UR}[/tex]

Using this, we get

[tex]\dfrac{UV}{US}=\dfrac{UW}{UR}[/tex]

On substituting the values, we get

[tex]\dfrac{70}{x}=\dfrac{55}{44}[/tex]

[tex]\dfrac{70}{x}=\dfrac{5}{4}[/tex]

On cross multiplication, we get

[tex]70\times 4=5\times x[/tex]

[tex]280=5x[/tex]

[tex]\dfrac{280}{5}=x[/tex]

[tex]56=x[/tex]

Therefore, the missing length is 56 units.


Related Questions

At a real estate​ agency, an agent sold a house for ​$360,000. The commission rate is 25% for the real estate agency and the commission rate for the agent is 30​% of the amount the real estate agency gets. How much did the agency make on the​ house? How much did the agent earn in​ commission?

Answers

Answer: See explanation

Step-by-step explanation:

a. The amount that the agency make on the​ house will be 25% of $360,000. This will be:

= 25% × $360,000

= 25/100 × $360,000

= 0.25 × $360,000

= $90,000

b. The amount that the agent earn in​ commission will be:

= 30% × $90,000

= 30/100 × $90,000

= 0.3 × $90,000

= $27,000

Hi am new. What do I do

Answers

Answer:

You can add your question to your question or add a picture to it.

Step-by-step explanation:

Answer: you ask questions and answer stuff like the way I’m doing oh and welcome :’

Step-by-step explanation:

You have $20. This week, you choose to put 10% in your piggy bank. Next week, you decide to put 10% of your money in your bank again. How much money do you have left to spend?

Answers

Answer:

the amount left is 16.2

Step-by-step explanation:

The computation of the amount of money spend is shown below;

Given that

Total money available $20

This week 10% would be put in piggy bank

and, in next week 10% of the money would be put again in piggy bank

So the money left is

= $20 - $20 × 10% - ($18 × 10%)

= $20 - $2 - $1.8

= $16.2

Hence, the amount left is 16.2

Mike and Jasmine has a combined age of 30.
Mike is 3 years younger than twice Jasmines age.
How old is Mike?

Answers

I believe mike is 27

Tell me the slope AND the y-intercept of the equation 6x + 2y = 10. *​

Answers

The slope is -3 and the y-intercept is -5 hope this helps!

Help mee please!!

answer choices:

(2,3)
(3,2)
(3,4)
(3,-2)

Answers

I'm pretty sure it's (3,-2)

can someone help me?

Answers

Answer:

Yes

Step-by-step explanation:

Use the method [tex]\frac{rise}{run}[/tex].

Answer:

Yes

Step-by-step explanation:

The relationship between y and x is:

y=1/4x, because when

x=4, y=1

x=8, y=2

x=12, y=3

x=16, y=4

PLEASE HELPPP
Marina Polyakova pays a total of $1150 per month
for rent and electricity. It costs $650 more for rent
per month than for electricity. What are the costs
for each? Solve by Substitution

Answers

Answer:

The electricity is $500 and the rent is $650.

Step-by-step explanation: I think you just subtract 650 from 1150.

The table shows the cost of a watermelon on the 4th of July and the day after. What was the percent of change of the price of a watermelon from the 4th of July to the 5th of July?

July Date Cost of a Watermelon
4 $5.25
5 $3.25
Round to the nearest percent.

The price of a watermelon decreased about
___ %.

Answers

Lol I have no idea buddy maybe ask ur teacher to teach you how to do this waittt she probably already did :l

A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is a four or a queen

Answers

8/52 have a great day

Please help. Will go be brainliest

Answers

Answer:

a

Step-by-step explanation:

7/9 * 10/9 * 0.62 =

(7 * 10 * 62) / (9 * 9 * 100)

Multiply

4340 / 8100

Simplify by dividing by 20.

217/405 (about 0.535)

This is less than 2/3 (about 0.66), so it has to be "a" because all the other options are greater than 2/3

A=0.75V−M solve for v

Answers

Answer:

V=1.3(repeating)A+1.3(repeating)M


Suppose b varies directly with a and inversely with the square root of c. If b=5 when a=2 and c=4, find b when a=12 and
c=100
What if b

Answers

Answer:

b = 6 when a=12 and

c=100

Step-by-step explanation:

b = (k*a)/√c

b=5 when a=2 and c=4

5 = (k*2)/√4

5 = 2k/2

Cross product

5*2 = 2k

10 = 2k

k = 10/2

= 5

k = 5

find b when a=12 and

c=100

b = (k*a)/√c

= (5*12)/√100

= 60/10

= 6

b = 6

What is value of x
Plz help

Answers

Answer:

10√2

Step-by-step explanation:

This is a 45-45-90 triangle which means that the two non-hyptonouse lenghts are the same which means that the bottom lenght of the triangle is also 10 units

We can then use a^2+b^2=c^2 to solve for the last side

so we have

10^2+10^2=x^2

200=x^2

sqrt200=x

and I see that they want an exact answer so you simplify sqrt200 to

10√2

Gina has 90 meters of yarn.She uses 4 1/2 meters of yarn for every box she makes.How many boxes can she make from the yarn? 1.What is asked? 2.What are the given facts? 3.What is the opertaion to be used? 4.What is the number sentence? 5.What is the complete answer? 4. 5.

Answers

Answer:

1) The problem asks for the number of boxes than can be made from the yarn.

2) There are two facts: (i) Gina has 90 meters of yarn, (ii) Gina uses 4 1/2 meters of yarn for every box she makes.

3) We need to divide the total length of yarn by the length used to produce a box.

4) 20 boxes.

5) Gina can make 20 boxes from 90 meters of yarn.

Step-by-step explanation:

1) What is asked?

R/ The problem asks for the number of boxes than can be made from the yarn.

2) What are the given facts?

R/ There are two facts: (i) Gina has 90 meters of yarn, (ii) Gina uses 4 1/2 meters of yarn for every box she makes.

3) What is the operation to be used?

R/ We need to divide the total length of yarn by the length used to produce a box.

[tex]x = \frac{90\,m}{\frac{9}{2}\,m }[/tex]

[tex]x = 20[/tex]

4) What is the number sentence?

R/ 20 boxes.

5) What is the complete answer?

R/ Gina can make 20 boxes from 90 meters of yarn.

Write the phrase as an expression.
5 times a number d
An expression is

Answers

Answer:

5d

Step-by-step explanation:

5(d) or 5×d or 5•d

d is unknown

7/9z-6/9z+2-5/9z-9=

FAST plz ASAP

Answers

Answer:

-4/9z-7

Step-by-step explanation:

7/9z-6/9z+2-5/9z-9

=7/9z-6/9z-5/9z+2-9

=(7-6-5)/9z+(2-9)

=-4/9z-7

help with this question please 10 points​

Answers

Answer:

x = 80

measure of exterior angle = 112°

Step-by-step explanation:

32 + x = 2x - 48 (because the measure of exterior angle is equal to the sum of the two interior angles)

32 + x = 2x - 48

32 = x - 48

x = 80

plug in,

2(80) - 48

160 - 48 = 112

I HAVE 15 MINUTES OFFERING ALL MY POINTS
Find the value of x and y

Answers

Answer:

y = 23

x = 28

Step-by-step explanation:

Find y first.

3y + 5y - 4 = 180                     The two angles are supplementary if the all the lines are parallel.  Combine the left side.

8y - 4 = 180                              Add 4 to both sides

8y - 4 + 4 = 180 + 4

8y = 184                                   Divide both sides by 8

y = 23

====================================

Now if the lines are parallel, then 3y = 2x + 13

But we already know y

3*23 = 2x + 13                         Do the multiplication

69 = 2x + 13                             Subtract 13

56 = 2x                                    Divide by 2

x = 56/2

x = 28

Answer:

y = 23

x = 28

Step-by-step explanation:

Shoooooot i am so late with this answer, so so sorry haha-

and i'm no gonna do the explanation because the guy above me did a fairly well explanation of how i solve them too.

uhm, have a good day!

13 m
6 m
8 m

7 m
What is the perimeter and the area?

Answers

Answer:

4368 m

Step-by-step explanation:

13x6x8x7=4368

let f(x)=2x and g(x)=2x
Graph functions on the same coordinate plane.
What solutions to the equations f(x)=g(x)?

Answers

Answer:

Rewrite (Lambert form):

[tex]e^{\ln \left(2\right)\left(1-\left(-\frac{u}{\ln \left(2\right)}\right)\right)}\left(-\frac{u}{\ln \left(2\right)}\right)=1[/tex]

Simplify :

[tex]-\frac{e^{\ln \left(2\right)+u}u}{\ln \left(2\right)}=1[/tex]

Solve:

[tex]u=-2\ln \left(2\right),\:u=-1\cdot \ln \left(2\right)[/tex]

Result:

[tex]x=2,\:x=1[/tex]

Hope this helped u :)

If this was too complicated I can edit it for you.

Order the numbers from least to greatest.
74%, 3/4, 0.76

Answers

Answer:

74% 3/4 and .76 just like that

atStep-by-step explanation:

Scientists bounce a laser beam off a mirror. It reflects at the same angle as it hits the
mirror and is detected by an instrument several inches away.
Calculate the total distance of the laser beam travels. Round to the nearest tenth if necessary.

Answers

Answer and Step-by-step explanation:

Simply use triangles to find the length of the lasers.

The first triangle consists of the sides of 12 inches, 18 inches, and the laser (which is the hypotenuse).

Use the Pythagorean theorem to solve for the hypotenuse.

([tex]a^{2}+ b^{2} = c^{2}[/tex])

[tex]12^{2} +18^{2} = l^{2} \\\\144 + 324 = l^{2} \\\\468 = l^{2} \\\\Square-root-both-sides\\\\\ \\\sqrt{468} = l[/tex]

l ≈21.633

Now, we solve the other triangle.

[tex]9^{2} +6^{2} = l^{2} \\\\81 + 36 = l^{2} \\\\117 = l^{2} \\\\Square-root-both-sides\\\\\sqrt{117} =l\\l = 10.8167[/tex]

Now, add those two hypotenuses.

21.6333 + 10.8167 = 32.45

32.45 rounds up to 32.5

32.5 is the total distance the laser beam travels.

#teamtrees #WAP (Water And Plant)

You get a loan for $2500 with a simple interst of 16% for 3 years. How much to you have to pay back?

Answers

Answer:

$3,700

Step-by-step explanation:

16% of 2500=400

400×3(years)=1,200

2500+1200=3700

what is the value of x and y?

Answers

Answer:

y=70 x=20

Step-by-step explanation:

Answer:

The x-intercept is found by finding the value of x when y = 0, (x, 0), and the y-intercept is found by finding the value of y when x = 0, (0, y).

Step-by-step explanation:

x y = x + 2 Ordered pair

0 0 + 2 = 2 (0, 2)

1 1 + 2 = 3 (1, 3)

2 2 + 2 = 4 (2, 4)

this is probably not right but i gave an an example

:)

anyone know this? I need help with this badly

Answers

Answer:

Step-by-step explanation:

no

6x+5-4y-2x+y=

PLEASE HELP ME I NEED IT ASAPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

There is no way to solve this for x or y, as only one relationship between those variables is provided.  We can, however simplify that expression.

6x + 5 - 4y - 2x + y

group like terms:

= 6x - 2x - 4y + y + 5

add like terms together

= 4x -3y + 5

And that is as much as can be done with just that expression.

The simplest form of the given equation 6x+5-4y-2x+y is 4x - 3y + 5.

What is simplification?

A mathematical expression is simplified when it is replaced with a simpler, typically shorter, equivalent statement. Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.

Given an expression 6x+5-4y-2x+y

simplifying it

=> 6x -2x -4y + y +5

(adding terms with same variable)

=> 4x - 3y + 5.

therefore, the simplest form of the given equation is 4x - 3y + 5.

Learn more about simplification here:

brainly.com/question/24242989

#SPJ2

A rectangle with a perimeter of 9 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.2 with the origin as the center of dilation. If (x,y) represents the location of any point on the original triangle, which ordered pair represents the coordinates of the corresponding point on the resulting triangle?
A. (x + 0.2, y + 0.2)

B. (.2x, .2y)

C. (9x, 9y)

D. (x + 9, y +9)

Answers

Answer:

B now give me brain

Aaron has three slabs of beeswax. He plans to melt them and use all of the wax to form 36 candles. If all the candles are the same size and weight, how much will each candle weigh?

Answers

Weight of slab of beeswax isn't given.

Assume slab of beeswax = 36 gram.

Answer:

3 gram

Step-by-step explanation:

Each slab of beeswax = 36 gram

Total weight of all 3 slabs = (3 * 36) = 108 g

Number of same-sized candles to make = 36

The weight of each candle will be ;

Total weight of slabs / number of candles

108 g / 36

= 3 grams

Dont know how to do it ​

Answers

Answer:

multiply them.

Step-by-step explanation:

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