In the diagram below, TU is parallel to Q R. If
RU = 12, TU = 25, and QR = 40, find the length of
SU. Figures are not necessarily drawn to scale. State
your answer in simplest radical form, if necessary.

Answers

Answer 1

Given that ΔQSR and ΔTSU are similar triangles, therefore, the length of SU is: 20.

Recall:

When two triangles are similar, the ratio of their corresponding side lengths are equal.

Thus, given the figure attached below, ΔQSR and ΔTSU are similar to each other.

Therefore:

SR/SU = QR/TU

SR = RU + SU = 12 + SU

SU = ?

QR = 40

TU = 25

Plug in the values

[tex]\frac{12 + SU}{SU} = \frac{40}{25}[/tex]

Cross multiply

[tex](12 + SU)25 = 40(SU)\\\\300 + 25SU = 40SU\\\\300 = 40SU - 25SU\\\\300 = 15SU\\\\\mathbf{SU = 20}[/tex]

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In The Diagram Below, TU Is Parallel To Q R. IfRU = 12, TU = 25, And QR = 40, Find The Length OfSU. Figures

Related Questions

15.

Write a direct variation equation if x = 7 and y = 42.

16.

Use the equation in example 15 to find x if y = 66.

Answers

Answer:

  15. y = 6x

  16. x = 11

Step-by-step explanation:

15. A direct variation equation is of the form ...

  y = kx

Solving for k, we find ...

  k = y/x = 42/7 = 6

The equation is y = 6x.

__

16. Filling in the given values, we have ...

  66 = 6x

  11 = x . . . . . . . divide by 6

How do I find the domain and range of this?

Answers

Step-by-step explanation:

identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.


You have an object with a mass of 5 kg. If it has a velocity of 4.7 m/s, what distance will the object travel if 98 newtons are applied to stop it?

Answers

69,420 ------------------------------------------------------------------------


I need helpppoppppppppppppp

Answers

Answer:

Step-by-step explanation:

2 1

If 333 + 555 = 999 And 123 + 456 = 488 And 505 + 213 = 809 Then 344 + 732 = ???

Answers

The answer is: 344 + 732 = 1076

Answer:

1076

Step-by-step explanation:

I just need points lol

Help help help help math math

Answers

Answer:

r=8

Step-by-step explanation:

The radius is the diameter divided by 2.

So, 16/2 would equal 8.

Area = pi x radius^2

Pi=3 in this case

3x16^2=768cm^2 is the area

Emily has a bag that contains apple chews, cherry chews, and peach chews. She
performs an experiment. Emily randomly removes a chew from the bag, records the
result, and returns the chew to the bag. Emily performs the experiment 53 times. The
results are shown below:
An apple chew was selected 46 times.
A cherry chew was selected 5 times.
A peach chew was selected 2 times.
Based on these results, express the probability that the next chew Emily removes
from the bag will be apple chew as a percent to the nearest whole number.

Answers

Answer:

5%

Step-by-step explanation:

So far, the experiment is done 53 times

Out of the 53 times, an apple chew was selected 46 times

To do this problem, you will do #of times apple chew was selected/ #of times experiment was done to get the probability (46/53) which will give you 5.11 or 5% (rounded as a whole number)

help me with this question plzzzzzzz

Answers

Answer:

The base is 9.4 milliliters

Step-by-step explanation:

First, you would notice that they give you the perimeter of it. Meaning 51.4 was a sum of adding the height and base length twice. So you would take 51.4 and subtract 16*2 from it. Which would be 19.4. Next, since 19.4 would be both bases added, and they are both the same, you would do 19.4/2=9.4

The base is 9.4 milliliters.

Answer:

9.7

Step-by-step explanation:

P=2B+2H=51.4

B+H=25.7

H=16

B=25.7-16

B=9.7

Xavier's pet turtle laid eggs! So far, only 2 eggs have hatched for every 5 that are unhatched. If Xavier's turtle laid 35 eggs in all, how many eggs have hatched?

Answers

21 eggs have hatched


hopefully this helps!

Answer: 21

Step-by-step explanation:

need help with algerba 2

Answers

F(4)4 is the x value 4. Find where the line is on th y axis at x = 4

The dot is between 60 and 70 so the answer would be 64

Answer: D. 64

Answer:

the answer is d

Step-by-step explanation:

if you look on the graph where the x-value equals 4, the y-value of that point is your answer and d is the only value in that range

Are the ratios 12:6 and 2:1 equivalent?

Answers

Answer:

no

Step-by-step explanation:

https://brainly.com/question/18232055

Answer:

Yes!

Step-by-step explanation:

Here, ratios can be rewritten by fractions.

12:6 is [tex]\frac{12}{6}[/tex] which equals to 2,

2:1 is also [tex]\frac{2}{1}[/tex] which is 2.

To get 12 from 2, you multiply by 6.

Multiply the same thing to the denominator(1), and you get 6. So:

12:6 = 2:1

(25 points) Which statement describes the point (2, 6) ?

The point is on the x-axis.


The point has an x-coordinate of 2 and a y-coordinate of 6.


The point has an x-coordinate of 6 and a y-coordinate of 2.


I don't know.

Answers

The point has an x-coordinate of 2 and a y-coordinate of 6 thus, option (B) is correct.

What are coordinates?

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

The coordinate is written as (x,y)

Here, x is the horizontal distinctions and y is the vertical distinctions.

In (2,6) here 2 is the x-coordinate while 6 is the y-coordinate.

Hence "The point has an x-coordinate of 2 and a y-coordinate of 6".

For more about coordinates,

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A?
B?
C?
D?
Who ever is right gets brainlest <3

Answers

Answer:

4 n 4 √ 3 n

Step-by-step explanation:

I only need help on Question D

Answers

Cool question Tigh is actually number 16 D is the fifthone you can also use brainly.com if he needs more help

heeeeeelllllppppppp please​

Answers

Answer: D. <Q ≅ <T

Step-by-step explanation:

This satisfies the ASA Congruency Theorem.

Help help help math math

Answers

Answer: 144 cm^3

Step-by-step:

Plug the radius into the volume formula.

V= 3/4(pie)4^3

Simplify the 4^3.

V= 3/4(pie)(64)

Multiply 64 by pie (which in this case is represented by 3).

V= 3/4(192)

Find 3/4 of 192 by multiplying.

V= 144 cm^3

Factor the following.

Answers

Answer:

5. x(x+4)

6. 7x(x-3)

7. 12x(x+5)

8. 4x(2x+5)

Solve 12 + 5= 7.
A. x = -2 and x = 12
B. x = -2 and x = -12
C. X = 2 and x = -2
O D. x = 2 and x = = -12

Answers

Answer:

if you mean 12-5=12 this answer is x=144

here is the step by step explanation.

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x/12-5-(7)=0

Step by step solution :

STEP

1

:

x

Simplify ——

12

Equation at the end of step

1

:

x

(—— - 5) - 7 = 0

12

STEP

2

:

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 12 as the denominator :

5 5 • 12

5 = — = ——————

1 12

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (5 • 12) x - 60

———————————— = ——————

12 12

Equation at the end of step

2

:

(x - 60)

———————— - 7 = 0

12

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 12 as the denominator :

7 7 • 12

7 = — = ——————

1 12

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(x-60) - (7 • 12) x - 144

————————————————— = ———————

12 12

Equation at the end of step

3

:

x - 144

——————— = 0

12

STEP

4

:

When a fraction equals zero :

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

x-144

————— • 12 = 0 • 12

12

Now, on the left hand side, the 12 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-144 = 0

Solving a Single Variable Equation :

4.2 Solve : x-144 = 0

Add 144 to both sides of the equation :

x = 144

One solution was found :

x = 144

1. A grand tour of four cities begins at city A and makes successive stops at cities B, C,
and D before returning to city A. If the cities are located as shown in the
accompanying figure, find the total distance covered on the tour. The units are in
miles.
0-900,800)
400,300)
D1-800,0)
ALOO

Answers

Using distance between two points, it is found that the total distance covered on the tour is of 3400 miles.

Given two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], their distance is given by:

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

In this problem, the formula is used to find the distance covered on each tour, hence:

[tex]d_{AB} = \sqrt{(400 - 0)^2 + (300 - 0)^2} = 500[/tex]

[tex]d_{BC} = \sqrt{(-800 - 400)^2 + (800 - 300)^2} = 1300[/tex]

[tex]d_{CD} = \sqrt{(-800 - (-800))^2 + (0 - 800)^2} = 800[/tex]

[tex]d_{DA} = \sqrt{(0 - (-800))^2 + (0 - 0)^2} = 800[/tex]

Then, the total distance is given by the sum of each separate distance, hence:

[tex]d = d_{AB} + d_{BC} + d_{CD} + d_{DA} = 500 + 1300 + 800 + 800 = 3400[/tex]

The total distance covered on the tour is of 3400 miles.

You can learn more about distance between two points at https://brainly.com/question/25929988

Given f(x) = 3x^2 + 2x – 1 and g(x) = 4x-5 find ( g of f) (-2)

Answers

Answer:

23

Step-by-step explanation:

Evaluate f(- 2) then substitute the value obtained into g(x)

f(- 2) = 3(- 2)² + 2(- 2) - 1 = 3(4) - 4 - 1 = 12 - 5 = 7 , then

g(7) = 4(7) - 5 = 28 - 5 = 23

[tex]\text{Given that,}\\\\f(x) = 3x^2 +2x -1\\\\f(-2)=3(-2)^2 +2(-2) -1 = 12-4-1=7\\\\g(x) = 4x -5\\\\\text{Now,}\\\\(g \circ f) (-2)\\\\=g(f(-2))\\\\=g(7)\\\\=4(7)-5\\\\=28-5\\\\=23[/tex]

[tex]41 \times 28 - 36 \div 32 + 17 \times 21 - 18 = [/tex]
answere please ​

Answers

Answer:

The answer is 1485.875.

Step-by-step explanation:

[tex]\large{\tt{\underline{\underline{\pink{SOLUTION:}}}}}[/tex]

To solve the above equation we will follow the BODMAS rule.

[tex]\blue\star[/tex] BODMAS is an order of mathematic operations.[tex]\blue\star[/tex] BODMAS rule is to be followed while solving expressions in mathematics.

It stands for :

[tex]\purple\star[/tex] B = bracket[tex]\purple\star[/tex] O = order of power[tex]\purple\star[/tex] D = division[tex]\purple\star[/tex] M = multiplication[tex]\purple\star[/tex] A = addition[tex]\purple\star[/tex] S = subtraction

Solving this question by bodmas rule :

[tex]\begin{gathered}\quad{\sf{ = 41 \times 28 - 36 \div 32 + 17 \times 21 - 18}}\\\\\quad{\sf{ = 41 \times 28 - \dfrac{36}{32} + 17 \times 21 - 18}}\\\\\quad{\sf{ = 41 \times 28 - 1.125+ 17 \times 21 - 18}}\\\\\quad{\sf{ = 1148 - 1.125+ 357 - 18}}\\\\\quad{\sf{ = (1148+ 357) - (1.125 + 18)}}\\\\\quad{\sf{ = (1505) - (19.125)}}\\\\\quad{\sf{ = 1505- 19.125}}\\\\\quad{\sf{ = 1485.875}}\end{gathered}[/tex]

Hence, the answer is 1485.875.

[tex]\rule{300}{2.5}[/tex]

What is the length of side b?








Thank u

Answers

My guess is length of side B would be 12. This is my estimation, I remember a bit on how to do these but since it’s a triangle, I’m thinking the sides are going to be 1/2 of the base. In this case, the base is 24, so the sides should be 12.

How many lines of symmetry does the figure have?


0

6

4

5

Answers

The answer is 5 lines of symmetry

please answer thisss​

Answers

Answer:

ask assistance from someone close to you,it's a practical question.

the sum of two numbers is 30. the difference one the two numbers is 4

Answers

Answer:

20+10 is 30 5x6 is 30

Step-by-step explanation:

so just add numbers to find 30

Answer:

first number is 17 and second number is 13

Step-by-step explanation:

let the numbers are x and y

if their sum is 30 and difference is 4

then

x+y=30     --------------1equation

x-y=4          -----------2equation

add both the equations,

2x=34

x=17

then  

put the value of x in 1equation,

x+y=30

17+y=30

y=30-17

y=13

then,

first number is 17 and second number is 13

One group of carolers goes to every 6th house in a neighborhood, another goes

to every 8th house. At which house will the first meet?

Answers

The carolers would meet first at the 24th house.

In order to determine in which house the carolers would meet, the multiple of 6 and 8 have to be determined. They would first meet at the first common multiple of 6 and 8.

A multiple of a number is the product of an integer and that number.

First ten multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54 and 60First ten multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, Least common multiple = 24

To learn more about multiplies, please check: https://brainly.com/question/10520264

5x+15=50
Solve for X
PLEASE SHOW YOUR WORK

Answers

Answer:

you do:

50-15= 35

35÷5=7

so x=7

Find the slope of the line that contains (−5,4) and (2,4).

If the slope is not an integer, enter it is a fraction in simplest form. Do not enter a mixed number. Remember, a fraction in simplest form never contains a negative sign in the denominator. If the slope is undefined, “undefined” should be entered.

Answers

Answer:its a zero slope or you can do  x2-x1 and y2-y1 and if its an even fraction try simplifying it .

Step-by-step explanation:

The slope of the coordinates is 0.

what is slope?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane. Calculating the slope of a line is similar to finding the slope between two different points. In general, to find the slope of a line, we need to have the values of any two different coordinates on the line.

So, Slope = m = tan θ

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

given coordinates:

(−5,4) and (2,4)

So, slope = (y2 - y1)/ (x2 - x1)

slope = (4- 4)/ (2 - (-5))

slope = 0 / 7

slope = 0

Hence, the slope of the coordinates is 0.

Learn more about slope here:

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Henry can write 5 55 pages of his novel in 3 33 hours.how many pages can Henry write in 8 88 hours?

Answers

about 13 pages i believe

8 out of 45 students want lemonade and the rest want iced tea. What is the ratio of the number of students who want lemonade to the number of students who want iced tea?

Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.

Answers

Answer:

8/37

Step-by-step explanation:

People who wants iced tea = 45 - 8

People who wants lemonade = 8

8 (lemonade) / 37 (iced tea)

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