If Z is the incenter of triangle TUV, WZ = 8x - 22 and ZX = 3x +
8, find ZV. Round to the nearest tenth, if necessary.
PLS HELP
GEOMETRY

If Z Is The Incenter Of Triangle TUV, WZ = 8x - 22 And ZX = 3x +8, Find ZV. Round To The Nearest Tenth,

Answers

Answer 1

9514 1404 393

Answer:

  ZV ≈ 42.8

Step-by-step explanation:

WZ and ZX and ZY are each radii of the incircle, so are the same length.

  8x -22 = 3x +8

  5x = 30

  x = 6

  ZX = ZY = 3x +8 = 3(6) +8 = 26

ZV is the hypotenuse of right triangle ZVY, which has side lengths of 34 and 26. So, the length of ZV can be found from the Pythagorean theorem as ...

  ZV = √(34² +26²) = √1832

  ZV ≈ 42.8


Related Questions

What will the first step look like in a substitution problem?

y=2x
x+y=9​

Answers

Answer:

x + 2x = 9

General Formulas and Concepts:

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Since we are using substitution, we must replace one variable in 1 equation as the 2nd equation.

We are given:

y = 2x

x + y = 9

Here we see that y equals 2x. We can go ahead and replace in the 2nd equation y.

x + 2x = 9

And we would solve from there.

The vehicle's fuel efficiency is at least 35 miles per gallon.
Use f to represent the vehicle's fuel efficiency (in miles per gallon).

Answers

Answer:

f ≥ 35

Step-by-step explanation:

Took the test on Aleks, it was right! :)


2x+7=19 solving two-step equations

Answers

Answer:

x=6

Step-by-step explanation:

divide each term by 2 then simplify

Answer:

6

Step-by-step explanation:

First what you do is you subtract 7 from both sides to get 2x by itself.

2x + 7 - 7 = 19 - 7

2x = 12

Then you divide 2 from both sides to get x by itself.

2x/2 = 12/2

x = 6

Your answer is then x = 6.

I need help solving and checking the answer before my test tomorrow. ‍♀️im gonna fail so if you know anything please solve it and show how to check the answer ​

Answers

Step-by-step explanation:

-3+5=-10

−3x+5−5=−10−5

−3x=−15

−3x÷−3=−15÷-3

x=5

(-2 4/5)(1 4/5)

=-14/5×19/5

=-14×9/5×5

=-126/25

=-5 1/25

Answer:

3. x = 5

4. -5  1/25

Step-by-step explanation:

Question 3 Solving:

your equation is -3x + 5 = -10

subtract 5 from both sides to get the term with x alone: -3x = -15

divide both sides by -3 to isolate x (remember that a minus divided by minus is plus): x = 5

To check:

plug in 5 to x and see if you get -10 on both sides

-3(5) + 5 = -10

first multiply -3 and 5:

-15 + 5 = -10

then add 5 to -15:

-10 = -10

if the number are equal then you solved the equation correctly

Question 4:

multiply the whole number by the denominator, then add the numerator to the product, and that number will be your new numerator ( make sure to leave the negative sign out of this computation)

so multiply 2 and 5 to get 10, then add 4 to get 14

your new fraction is -14/5

practice doing the same thing to the other mixed fraction

you should get a new fraction of 9/5

multiply the numerators and denominators

so multiply -14 and 9, and multiply 5 and 5

you now have -126/25

divide 126 by 25 to get your whole number of the mixed fraction

you should have -5  ?/25

to find the numerator, multiply your whole number by your denominator (25 x 5 = 125), then subtract this from your numerator of the improper fraction

126-125 = 1

now you have an answer of -5  1/25

ab (3a-5b) equals to?

Answers

Answer:

3a^2b-5ab^2

Step-by-step explanation:

Answer:

3a²b-5ab²

Step-by-step explanation:

Distribution method:

ab (3a-5b) = 3a²b-5ab²

Is 1.6 or 1.25 bigger

Answers

1.6 is bigger because
1.6 is bigger. Think of 1.6 as 1.60. Is 1.60 or 1.25 bigger? 1.60 is. Hope this helps!!!

The tables below represent different ratios of teaspoons of sugar to ounces of iced tea. Which table represents the greatest ratio of sugar-to-iced tea?

Answers

Answer:

Option (C)

Step-by-step explanation:

Option A.

Ratio of table spoons of sugar to ounces of iced tea = [tex]\frac{\text{Amount of sugar (in oz)}}{\text{Amount of ice tea (in oz)}}[/tex]

From the table attached,

Ratio = [tex]\frac{6}{24}[/tex]

         = 1 : 4

Option B.

Ratio of sugar to ounces of iced tea = [tex]\frac{3}{18}[/tex]

                                                            = 1 : 6

Option C.

Ratio of sugar to ounces of iced tea = [tex]\frac{1}{3}[/tex]

                                                            = 1 : 3

Option D.

Ratio of sugar to ounces of iced tea = [tex]\frac{7}{24}[/tex]

                                                            = 7 : 24

                                                            ≈ 1 : 3.43

Since, highest ratio means biggest fraction (with least denominator).

From the given options, biggest fraction is [tex]\frac{1}{3}[/tex].

Therefore, highest ratio of amount of sugar in (tsp) to number of ounces of ice tea is in Option (C).

Identify the hypotenuse.

A. MN
B. LN​

Answers

Answer:

The hypotenuse is line segment MN.

Step-by-step explanation:

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

The angle 90 degrees (also represented by the red line on angle L) always always is opposite to the hypotenuse. Since angle L is 90 degrees, it is opposite of the hypotenuse, which is MN.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

If a pair of shoes was 25% off and the original price was $80 how much is the amount of the discount?

Answers

The amount of the discount would be 20 Dollars

Mr. Scott likes to pose interesting problems to his Mathematics classes. Today,
he started with the expression 6^2020 + 7^2020. He stated that the expression was
not equivalent to 13^2020 and that he was not interested in the actual sum. His
question to his class and to you is, “What are the final two digits of the sum?

Answers

Answer:

The last two digits of 6²⁰²⁰ + 7²⁰²⁰ is 7, 7

Step-by-step explanation:

The given question is to find the value of the sum of two numbers 6²⁰²⁰ + 7²⁰²⁰, where,  6²⁰²⁰ + 7²⁰²⁰ ≠ 13²⁰²⁰

We have;

The last two digits of the powers of 6 are;

6¹ = 6, last two digits = 06

6² = 36, last two digits = 36

6³ = 216, last two digits = 16

6⁴ = 1,296, last two digits = 96

6⁵ = 7,776, last two digits = 76

6⁶ = 46,456, last two digits = 56

6⁷ = 279,936, last two digits = 36

6⁸ = 1,679,616, last two digits = 16

6⁹ = 10,077,696, last two digits = 96

6¹⁰ = 60,466,176, last two digits = 76

6¹¹ = 362,767,056, last two digits = 56

Therefore, the last two digits repeat itself every 5 times

For 6²⁰²⁰, the last two digits will be for the 2020/5 = 404 complete times, which will be 76

The last two digits of the powers of 7 are;

7¹ = 7, last two digits = 07

7² = 49, last two digits = 49

7³ = 343, last two digits = 43

7⁴ = 2,401, last two digits = 01

7⁵ = 16,807, last two digits = 07

7⁶ = 117,649, last two digits = 49

7⁷ = 823,543, last two digits = 43

7⁸ = 5,764,801, last two digits = 01

Therefore, the last two digits repeat itself every 4 times

For 7²⁰²⁰, the last two digits will be for the 2020/4 = 505 complete times, which will be 01

Therefore, the last two digits of 6²⁰²⁰ + 7²⁰²⁰ is 76 + 01 = 77, which is 7, 7

Kevin ate 3 apples. This represents 20% of the bag of apples. How many apples were originally in the bag?

Answers

27 total apples in the bag
15 apples were in the bag. If 3 apples are 20%, you could multiply 3 by 5 and 20% by 5 to get 100%.

Help!!!!Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer.

Answers

Answer:

[tex]m=\frac{-1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, -4)

Point (-8, 0)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{0+4}{-8-0}[/tex]Add/Subtract:               [tex]m=\frac{4}{-8}[/tex]Simplify:                        [tex]m=\frac{-1}{2}[/tex]

12x² + 8x = 0
What are the zeroes?

Answers

Answer:

The zeros are at 0 and -2/3

A regular decagon is rotated n degrees about its center, carrying the decagon onto itself. The value of n could be:
1. 10 degrees
2. 150 degrees
3. 225 degrees
4. 252 degrees

Answers

Answer:

252°

Step-by-step explanation:

Given

Shape: Decagon

Required

Determine the value of n

A Decagon has 10 sides and a complete rotation takes 360°

First, we need to calculate the angle of each rotation as follows.

Each Rotation = ⅒ * 360°

Each Rotation = 360°

Next, we determine the possible values of n.

The statement is represented as "possible values of n" because n can assume infinite number of values.

However, n must be a multiple of 36

From the list of given options.

10, 150 and 225 are not multiples of 36

Only 252 happens to be a multiple of 36 from the list of given options.

Hence, option D answers the question [base on the given options]

A decagon is a ten-sided polygon.

The value of n could be 252 degree.

Since, A Decagon has 10 sides

The angle made in one complete rotation is 360 degree.

Now find angle made in each rotation is,

                          [tex]=\frac{360}{10}=36degree[/tex]

Now, we have to find possible values of n.

Since, n must be a multiple of 36

Apply hit and trial from given option.

We observe that from given options, only 252 degree is multiple of 36.

Therefore, value of n could be 252 degree.

Hence, option 4  is correct.

Learn more:

https://brainly.com/question/9549251

apply appropriate methods in solving rationalequations and inequalities.​

Answers

To solve an equation involving rational functions, we cross multiply the numerators and denominators. Then we move all our terms to one side. Then we use our algebra skills to solve. To solve an inequality involving rational functions, we set our numerator and denominator to 0 and solve them separately

I need helppppppppp!!!!

Answers

I drew on the coordinates to help you visualize! :) When moving to the left the Y value stays the same however, the X would decrease by 5.

what is halfway between 5.3 and 5.4

Answers

Answer:

5.35

Step-by-step explanation:

5.31 5.32 5.33 5.34 5.35

The answer will be 5.35

evaluate (73)^2 using the identity (a+b)^2=a2+2ab+b^2

Answers

73^2 = 5329

There's no identity that can be used.

PLS GIVE BRAINLIEST

Based on what you see here, what is the domain of this function?*
Your answer
This is a required question

Answers

Answer:

Domain seems to be all real numbers.

Step-by-step explanation:

Yoo how yall doinnnnn

Answers

Answer:

pretty good tired of the virus stuff but good

Step-by-step explanation:

Answer:

Im great... how bout you?

Step-by-step explanation:

i need help. it’s due tonight.thank you

Answers

Answer:28

Step-by-step explanation:

T7 = 35 hope this helps

hcf and lcm of 120 and 180, shown your work

Answers

The HCM and LCM of 120 and 180 are 360.

What is HCF and LCM?

The Highest Common Factor (HCF) of two or more given numbers is the largest number that divides each of the given numbers without leaving any remainder. The Least Common Multiple (LCM) of two or more numbers is the smallest of the common multiples of those numbers.

Given are two numbers as -

120 and 180

We can write 120 and 180 as -

120 = 2 x 2 x 2 x 3 x 5

180 = 2 x 2 x 3 x 3 x 5

HCF of 120 and 180 will be equal to = 2 x 2 x 3 x 5 = 60

Now, we can find LCM using the formula -

LCM(a, b) = (a x b)/HCF(a, b)

LCM(a, b) = (120 x 180)/60

LCM(a, b) = 2 x 180 = 360

Therefore, the HCM and LCM of 120 and 180 are 360.

To solve more questions on HCF and LCM, visit the link below-

https://brainly.com/question/20739723

#SPJ2

Which of the following can be used to represent 2x5 using repeated addition? Select all that apply.

5+5+5+5+5
5+5
2+2+2 + 2 + 2
2+2

Answers

Answer:

5+5

Step-by-step explanation:

5+5 and 2+2+2+2+2

two fives equal ten and five twos equal ten.

HELP PLEASE ILL GIVE U 50 POINTS​

Answers

Answer:

6x^2+2x

Step-by-step explanation:

Answer:

area of rectangle=2x×(3x+1)=6x²+2x

An antelope can run 152.5 miles in 2.5 hours. The average speed of the antelope 62 mi/hr

True
False

Answers

Answer:

Step-by-step explanation:

152.2 miles /2.5 hours= 60.88 mph so false.

check by 62 mph * 2.5 hours = 155 miles or more then what the antelope actually ran.

A builder made a scale drawing of a rectangular room. The drawing has a length of 12 ½ cenmeters and a width of 7 ¾ cenmeters. The actual room will have a length of 56 ¼ meters. What will be the area of the actual room?

Answers

Answer:

18 / 6 = 3

The scale is 1:3

3 * 4.5 = 13.5

13.5 * 18 = 243 square feet

The answer is 243 square feet.

Step-by-step explanation:

Hope this helped!

What is the image of (2,3)(2,3) after a reflection over the line y=-xy=−x?

Answers

Answer:

After the reflection over the line  y = -x, the image of the point is: (-3,-2)

Step-by-step explanation:

When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.

Let (x,y) be a point on the plane

and

y = -x be a line on the plane

When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated

So (x,y) will become (-y,-x)

Given point is:

(2,3)

After the reflection over the line  y = -x, the image of the point is: (-3,-2)

18. 4x +3=15+2x
Can someone help me solve this number and also 19,20,21,22,23,24,25

Answers

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf 4x+3=15+2x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 4x-2x=15-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x=12 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{12}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=6 [/tex]

__________________

21-

[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5+5a-7[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5a-2 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3a-5a=-2+2 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -2a=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf a={\dfrac {1}{-2}}[/tex]

_________________

22-

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=2+6x+1+2x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=8x+3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-8x=3+18 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x=21 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {21}{3}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=7[/tex]

_________________

23-

[tex]{:}\longrightarrow[/tex][tex]\sf e+3+e=40-(-2)+5e [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2e+3=42+5e [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2e-5e=42-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -3e=39 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf e={\dfrac {39}{-3}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf e=-13 [/tex]

Solve for t in the equation

Answers

Answer:

t=1/5=0.2

Step-by-step explanation:

(5t+3)/4=1

5t+3=4

5t=1

t=1/5=0.2

Answer:

1/5

Step-by-step explanation:

5t+3/4=1

5t+3=1*4

5t+3=4

5t=4-3

5t=1

t=1/5

how many times bigger is 2 times 10 to the 10th power than 150 million

Answers

Answer: 2 x 10^10 =20000000000

and 150,000,000 is 150 million so you subtract and you get

19,850,000,000

Step-by-step explanation:

Other Questions
The nth term of a sequence is 32nWork out the 8th term of the sequence Molten materials cool at different rates. Which property of a mineral does this affect?colorlustercrystal sizecrystal shape what is 3/4 x 2 5/6 please help me In the Prologue excerpt, why to you think the Wife of Bath asks the pilgrims NOT to be offended at her views as she will portray them in her tale?What is the Kings punishment for the Knight?Who begs the King to show the Knight mercy? How is this ironic?What does the Wife of Bath say hooks women to men?What does the old woman value most?This is for the wifes bath tale When converting 16/3 from improper to a mixed number, what will the whole number be? first one will get mark brainlist If y = 2 whenx1, find xwhen y = 4 5/ 2 x -14A. -10.3B. -6C. -5.6D. -5Which of these does not make the inequality true? DatePageA rectangular meadow has an area of 28 squaremeter and perimeter 22 m, find the length and breadth. The controversy surrounding the yazoo land fraud revolved around which issue? What color are the stars on the diagram with the lowest surface temperatures? Manuel 1. ( ) un estudiante en mi escuela. Manuel y sus amigos 2. ( ) inteligentes. Ellos 3. ( ) en la biblioteca. Juan, el hermano de Manuel, 4. ( ) perezoso. No le gusta trabajar. Juan 5. ( ) en el gimnasio. 6. Todos ( ) contentos. Density independent factors are Which words are most connected to the themes found in the introduction to Seven Icelandic Stories? Select all that apply.continuityhistorypoliticalvernacularThe subject wasn't an option so I chose this. :( - 12 x (- 8)plz help ASAP Here are 36 carpenters on a construction crew. On a certain day, 29 carpenters were present. Which proportion can be used to determine the percent of carpenters that were present? Describe the anatomy of the typical long bone Simplify the expression below: (313)2+144252 Can someone explain men's fashion in the 1810's in a brief summary? Carli and Angela share a cell phone plan and split the bill each month. Last month, their total bill was $109. Carli went over her data limit on her phone, so her share of the bill was $15 more than Angela's to account for the overage charge. Which system of equations represents this situation?A. c+a=15c=a+109B. c+a=109 c=a+15C. c+a=109a=c+15D. c-a=15c=a+109 The number 1,134 is divisible by all of the following exceptA.3B. 6C. 9D. 12E. 14