If UV=x+13 and RT=x-37, What is the value of x?

If UV=x+13 And RT=x-37, What Is The Value Of X?

Answers

Answer 1

Answer:

x = 87

Step-by-step explanation:

the ratio SR / RV is equal the ratio ST / TU (both ratios are equal to 1), and the angle in the vertex S is the same for both triangles SUV and STR, so we can affirm that these triangles are similar (case S-A-S).

Then, we have that the ratio SR / SV is the same as RT / UV:

SR / SV = RT / UV = 1 / 2

RT * 2 = UV

2*(x - 37) = x + 13

2x - 74 = x + 13

x = 87


Related Questions

The Bermuda Triangle is a region in the Atlantic Ocean where many ships, planes, and people have apparently disappeared without a reasonable explanation. It lies just off the coast of the United States. And it’s angles are located at Bermuda (Angle b), San Juan (angle s), and Miami (angle m).




1. What would be the range of possible distances from Bermuda to San Juan?

2. If the actual distance from Bermuda to San Juan is 976 miles, is the Bermuda Triangle really a triangle? Justify your answer.

3. Using the distance from Bermuda to San Juan of 976 miles,list the angles of the Bermuda Triangle in order from least to greatest.

Answers

the corrext ansewer 2*3=6 lmk if you need tree

if x = 5, what is ((x+3)/4)*234

Answers

Answer:

468

Step-by-step explanation:

8/4*234=2*234=468

Answer:

468

Step-by-step explanation:

5+3/ 4 =2

2*234=468

find the fifth term of this sequence? 3n^2-1

Answers

Answer:

Step-by-step explanation:

50^2 is 2500, 3 times that is 7500, minus 1 and the answer would be 7499

I WOULD LOVE IF SOMEONE CAN ANSWER THIS QUESTION FOR ME!

Answers

Answer:

32 cm^3

Step-by-step explanation:

The cube is 4 across by 4 high by 2 wide

4*4*2 = 32 cm^3

Answer:

[tex]32cm^3[/tex]

Step-by-step explanation:

[tex]V=whl=2*4*4=32cm^3[/tex]

Answer the following 3 question(s) using the information from the scenario below.

Katrina is looking at banquet halls for her parents’ anniversary party. Moonlight Hall charges a fixed cost of $1000 plus $75 per guest. Riverside Hall charges $1500 plus $50 per guest. Let C represent the total cost, in dollars, and let n represent the number of guests.

Identify the system of linear equations that represents this situation.




Select one
a. Moonlight: C=75n+1000
Riverside: C=50n+1500
b. Moonlight: C=1500−75n
Riverside: C=1000−50n
c. Moonlight: C=1000−75n
Riverside: C=1500−50n
d. Moonlight: C=50n+1000
Riverside: C=75n+1500

What are the coordinates of the solution?

Select one
a. (-20, 0)
b. (20, 0)
c. (20, 2500)
d. (-20, 2500)

Identify the statement that best describes the solution to this linear system.

Select one
a. When there are 20 guests attending, the price is less at the Moonlight Hall.
b. It always costs more to use the Riverside Hall.
c. When there are 20 guests attending the price is $2500.
d. It always costs more to use the Moonlight Hall.

Answers

Answer:

Answer 1: a. Moonlight: C=75n+1000

Riverside: C=50n+1500

Answer 2: c. The solution coordinates are c. (20, 2500)

Answer 3: c. When there are 20 guests attending the price is $2500.

Step-by-step explanation:

Moonlight Hall:

Fixed cost = $1000

Cost per guest = $75

Cost of 'n' guests = 75 [tex]\times n[/tex]

Total cost of moonlight hall = Fixed cost + Cost of 'n' guests

[tex]\Rightarrow 1000 + 75 \times n[/tex]

Riverside Hall:

Fixed cost = $1500

Cost per guest = $50

Cost of 'n' guests = 50 [tex]\times n[/tex]

Total cost of moonlight hall = Fixed cost + Cost of 'n' guests

[tex]\Rightarrow 1500 + 50 \times n[/tex]

Hence, Answer 1:

a. Moonlight: C=75n+1000

Riverside: C=50n+1500

Answer 2: Coordinates of solution:

Option c. (20,2500) satisfies both the equation.

When there are 20 number of guests, the cost of both moonlight and riverside hall comes out to be 2500.

Moonlight Hall cost

[tex]75 \times 20 + 1000\\\Rightarrow \$2500[/tex]

Riverside Hall cost

[tex]50 \times 20 + 1500\\\Rightarrow \$2500[/tex]

Answer 3: c. When there are 20 guests attending the price is $2500.

The solution is done in Answer 2.

So,

Answer 1: a. Moonlight: C=75n+1000

Riverside: C=50n+1500

Answer 2: c. The solution coordinates are c. (20, 2500)

Answer 3: c. When there are 20 guests attending the price is $2500.

solve for x, x^7-116=232

Answers

Answer:

x =348 ^ (1/7)

Step-by-step explanation:

x^7-116=232

Add 116 to each side

x^7-116+116=232+116

x^7 =348

Take the 7th root each side

x^7 ^ 1/7 = 348 ^ (1/7)

x =348 ^ (1/7)

WILL MARK BRAINLIEST ASAP





Which of the following illustrates the associative property of multiplication?

4 × 8 = 8 × 4
2(12 + 3) = 2 × 12 + 2 × 3
9 × (1 × 4) = (9 × 1) × 4
8 × 1 = 8

Answers

Answer:

9 × (1 × 4) = (9 × 1) × 4

Step-by-step explanation:

Number 3 because the associative property states that it doesn't matter how you add / multiply something in sets.

9 × (1 × 4) = (9 × 1) × 4 shows 9 × 1 × 4 in 2 ways with 2 sets.

Answer:

9 × (1 × 4) = (9 × 1) × 4 is the answer because it means you can group in any combination

Step-by-step explanation:

9 × (1 × 4) = (9 × 1) × 4

What is the value of x?

Answers

Answer:

x = 9

Step-by-step explanation:

→Looking at the angles, you can see that a right angle is formed. This means that there must be another right angle (90 degrees) formed with the numbers. You can set up the equation, like so:

3x + 6 + 57 = 90

→Add like terms (6 and 57):

3x + 63 = 90

→Subtract 63 from both sides:

3x = 27

→Divide both sides by 3:

x = 9

Answer:

x=9

Step-by-step explanation:

a right angle is 90 degrees

90-57= 33

33-6=27

27/3 = 9

Its my request to you to mark this as the brainiest

I really need help please
Fill in this outcome (sample space) for this table showing the roll of a 6 sided dice and then the toss of a coin Coin Toss heads Tails Dice Roll What is P(4, T) What is P(odd, H)

Answers

Answer:

Benidorm quiz  

1. Where is Benidorm holiday resort located?  

JORDAN  

 

2. What is the average temperature of Benidorm in summer?  

26 C  

3. Before 1950s Benidorm was a small ___FISHING______ village.  

4. Why did the town council encourage tourism in Benidorm?  

TO VISIT BENIDORM  

5. How many hotels were found in Benidorm in 1959?  

 

6. Explain package holidays as they were used in Benidorm                                                                                

7. Give three reasons why Benidorm is an excellent tourist resort  

(a)  

(b)  

©  

8. State four tourist attractions at Benidorm

Step-by-step explanation:

Benidorm quiz  

1. Where is Benidorm holiday resort located?  

JORDAN  

 

2. What is the average temperature of Benidorm in summer?  

26 C  

3. Before 1950s Benidorm was a small ___FISHING______ village.  

4. Why did the town council encourage tourism in Benidorm?  

TO VISIT BENIDORM  

5. How many hotels were found in Benidorm in 1959?  

 

6. Explain package holidays as they were used in Benidorm                                                                                

7. Give three reasons why Benidorm is an excellent tourist resort  

(a)  

(b)  

©  

8. State four tourist attractions at Benidorm

Find the next term of the geometric sequence 2/27 , 2/9 , 2/3 , .. Please help

Answers

Answer:

2/1 or 2

Step-by-step explanation:

They are dividing the denominator by 3. So, the answer is 2/1 or basically the number 2.

For example,

27/3 = 9

9/3 = 3

3/3 = 1

The last math shows how I got the answer.

Hope this helps!

Answer:

2

Step-by-step explanation:

The sequence is multiplying by 3 each time.  2/27 *3= 2/9

2/9 *3 is 2/3.

2/3*3= 2

2 is the next term

which graph function of x?​

Answers

the horizontal is the graph function of x

Find the distance between the points.
(-3,2) and (0,2)
The distance is

Answers

Answer:

d=3

Step-by-step explanation:

by using distance formula

d=√(x2-x1)²+(y2-y1)²

let the points be A(-3,2) B(0,2)

d=√(0--3)²+(2-2)²

d=√(+3)²+(0)²

d=√9

d=3

Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.

Answers

Answer:

The answer is B

What is the value of x in the equation StartFraction 4 Over 7 EndFraction (StartFraction 21 Over 8 EndFraction x + one-half) = negative 2 (StartFraction 1 Over 7 EndFraction minus StartFraction 5 Over 28 EndFraction x)? Write your solution in decimal form.

Answers

Answer:

x = -0.5

Step-by-step explanation:

[tex]\dfrac{4}{7}\left(\dfrac{21}{8}x+\dfrac{1}{2}\right)=-2\left(\dfrac{1}{7}-\dfrac{5}{28}x\right)\\\\\text{use the distributive property}\ a(b\pm c)=ab\pm ac\\\\\left(\dfrac{4}{7}\right)\left(\dfrac{21}{8}x\right)+\left(\dfrac{4}{7}\right)\left(\dfrac{1}{2}\right)=(-2)\left(\dfrac{1}{7}\right)-(-2)\left(\dfrac{5}{28}x\right)\\\\\dfrac{4\cdot21}{7\cdot8}x+\dfrac{4\cdot1}{7\cdot2}=-\dfrac{2}{7}+\dfrac{2\cdot5}{28}x\qquad\text{simplify}[/tex]

[tex]\dfrac{3}{2}x+\dfrac{2}{7}=-\dfrac{2}{7}+\dfrac{5}{14}x\qquad\text{multiply both sides by 14}\\\\(14)\left(\dfrac{3}{2}x\right)+(14)\left(\dfrac{2}{7}\right)=(14)\left(-\dfrac{2}{7}\right)+(14)\left(\dfrac{5}{14}x\right)\qquad\text{simplify}\\\\(7)(3x)+(2)(2)=(2)(-2)+(1)(5x)\\\\21x+4=-4+5x\qquad\text{subtract 4 from both sides}\\\\21x+4-4=-4-4+5x\\\\21x=-8+5x\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\21x-5x=-8+5x-5x\\\\16x=-8\qquad\text{divide both sides by 16}[/tex]

[tex]\dfrac{16x}{16}=\dfrac{-8}{16}\qquad\text{simplify}\\\\\boxed{x=-\dfrac{1}{2}\to x=-0.5}[/tex]

Answer:

X = -0.5

Step-by-step explanation:

Edge 2020

Please please please I need help

Answers

Answer:

The alternative interior angles theorem.

Step-by-step explanation:

The alternate interior angles theorem states that, when two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary.
17/40

Answers

Answer:

the answer is-

Step-by-step explanation:

42.5% and the estimation is 43%

Answer:

42.5%

Step-by-step explanation:

17/40 = 0.425

Move decimal to the tenths place.

0.425 --> 42.5

mary thinks the triangle is equilateral. how would you support or dispute her conjecture?

Answers

Answer:

Use the distance formula to calculate the length of all three sides, and check whether all sides are congruent.

Step-by-step explanation:

An equilateral triangle would have three sides that are all the same length, out of these options, only using the distance formula to calculate the length of all three sides and checking whether they are all congruent will make sure that the triangle is equilateral instead of just isosceles.

What is the scale factor of Xyz to UVW?

Answers

Answer & Step-by-step explanation:

In order to solve this problem, we are going to have to divide. Since the triangles are similar, then that means that we are going to have to find the ratio between the sides which will also be our scale factor.

We can divide 75 by 15 since they are corresponding sides. Once we find the ratio between the sides, then we can conclude that the scale factor would be that number.

75 / 15 = 5

So, the scale factor of XYZ to UVW is 5.

The scale factor of [tex]Xyz[/tex] to [tex]UVW[/tex] is 5.

What is scale factor?

The ratio that we get when you divide corresponding side lengths of similar figures is called the scale factor.

According to the given question.

We have a two triangles Xyz and UVW. And both the triangles are similar to each other.

In triangle Xyz we have

[tex]Xy = 60[/tex]

[tex]yz = 75[/tex]

and

[tex]zX = 90[/tex]

Also, in triangle UVW we have

[tex]UV = 12[/tex]

[tex]VW = 15[/tex]

and, [tex]WU = 18[/tex]

Therefore, the scale factor of Xyz to UVW is given by

[tex]\frac{Xy}{UV} =\frac{yz}{VW} =\frac{zX}{WU}[/tex]

⇒ [tex]\frac{60}{12} =\frac{75}{15} =\frac{90}{18} =5[/tex]

Hence, the scale factor of [tex]Xyz[/tex] to [tex]UVW[/tex] is 5.

Thus option B is correct.

Find out more information about scale factor here:

https://brainly.com/question/17202953

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use a power reduction identity to simplify 8cos^4x

Answers

The answer to a power reduction to simply 8cos^4x is 2(cos2a + 1)^2

The simplified value is 8*cos^4(x) = 3+ 4 cos2x + cos 4x.

What is power reduction identity?

The trigonometric power reduction identities allow us to rewrite expressions involving trigonometric terms with trigonometric terms of smaller powers. This becomes important in several applications such as integrating powers of trigonometric expressions in calculus.

Given:

Using the power reduction identity, we have that:

cos² x= 1/2( 1+ cos 2x)

cos^4(x) = (cos² x)²= (1/2( 1+ cos 2x))²

cos^4(x) =  1/4( 1+ cos² 2x+ 2 cos (2x))

Again, cos² 2x= 1/2( 1+ cos 4x)

cos^4(x) =  1/4( 1+ 1/2( 1+ cos 4x)+ 2 cos (2x))

cos^4(x) =  1/4( 1+ 1/2 +1/2 cos 4x+ 2 cos (2x))

cos^4(x) =  1/4( 3/2 + 2 cos2x + 1/2 cos 4x)

8*cos^4(x) =  8*1/4( 3/2 + 2 cos2x + 1/2 cos 4x)

8*cos^4(x) =  2( 3/2 + 2 cos2x + 1/2 cos 4x)

8*cos^4(x) = 3+ 4 cos2x + cos 4x

Learn more about this concept here:

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Sam uses 2/3 cup of sugar to make cookies. How many cups will Sam use to make five batches. Write your answer in two ways. Improper fraction and mixed number

Answers

Answer:

Improper fraction = 10/3 cups

Mixed fraction = 3 1/3 cups

Step-by-step explanation:

Given;

Sam uses 2/3 cup of sugar to make cookies

Rate = 2/3 cup per batch

To make 5 batches, he would need;

Amount = number of batches × rate per batch

Amount = 5 batches × 2/3 cups per batch

Amount of sugar he would need = 10/3 or 3 1/3 cups

Sunita creates a scale model of an aeroplane.
The scale of the model is 4 cm to 5 m.
Sunita's model has a wingspan of 53 cm.
What is the wingspan of the real aeroplane?

Answers

Answer:

66.25m

Step-by-step explanation:

66.25 metres is the correct answer

PLS HELP ASAP GIVING OUT BRAINLIEST.
How many positive integer solutions exist for 3(x-5)≤7?

Answers

Answer:

7 positive integer solutions

Step-by-step explanation:

3(x-5)≤7

Distribute

3x - 15 ≤7

Add 15 to each side

3x-15+15≤7+15

3x≤22

Divide by 3

3x/3 ≤22/3

x≤7 1/3

Positive integer solutions

1,2,3,4,5,6,7 = 7

0 is neither positive nor negative

Suppose Eric and Isaac both drive the same car, and have the same

deductible for car insurance. If Eric is five years younger, who is most likely to

pay a higher annual premium?

O

A. Isaac

O

B. Neither, they pay the same.

O

C. Can't tell from the information given

O

D. Eric

Answers

Answer:

eric

Step-by-step explanation:

just took the test

answer pleases I rlly need it:(

Answers

Answer: The answer is 23

Step-by-step explanation:

Good luck

A grain trader buys the following amounts from three suppliers: 3,200 pounds, 5,100 pounds and 700 pounds. What is the total weight of his purchase? Group of answer choices

Answers

Answer:

9000 lbs

Step-by-step explanation:

Since the amounts are already weighed, we just have to add all the weights together to find the total weight.

3200 + 5100 + 700 = 9000

Remember to leave it in pounds (lbs).

Which equation represents a line that passes through (2, -1/2) and has a slope of 3?
y-2 = 3(x + 1/2)
y-3 = 2(x + 1/2)
y+1/2= 3(x - 2)
y + 1/2 = 2(x – 3)

Answers

Answer:

y+1/2= 3(x - 2)

Step-by-step explanation:

The slope can be seen to be 3 by factoring out each of the right sides.  Only a and c have a slope of 3.  Next if the point (2,-1/2) is plugged into the equation of c then you get an answer of 0=0.  Beacuse both sides are equal when the point desired is plugged in it is the correct answer.

Answer: C

Step-by-step explanation:

I took the test

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!

Answers

The area is 16x do 2x^2 by 2 so 4, then 4x4=16x

Answer:

2x^2-x+4

Step-by-step explanation:

2x^2-x+4 because they are not like terms so u cant simplify it

express the given equation in quadratic form : ​

Answers

Answer: [tex]5n^2-48n-20=0[/tex]

Step-by-step explanation:

Here are the steps:

[tex]\frac{n+2}{n-2}- \frac{n-2}{n+2} =\frac{5}{6} \\\frac{(n+2)^2-(n-2)^2}{(n+2)(n-2)} =\frac{5}{6} \\\frac{n^2+4n+4-(n^2-4n+4)}{n^2-4} =\frac{5}{6}\\ \frac{n^2+4n+4-n^2+4n-4}{n^2-4} =\frac{5}{6}\\\frac{8n}{n^2-4} =\frac{5}{6}\\48n=5(n^2-4)\\5n^2-20-48n=0\\5n^2-48n-20=0[/tex]

In triangle ABC, AB = 6 cm, BC = 13 cm and angle ACB = 23°.
Calculate angle BAC, which is obtuse.​

Answers

Answer:

angle BAC = 57.84°

Step-by-step explanation:

To find angle BAC given AB=6cm    BC= 13 cm   and ACB=23°

we will follow the steps below;

we can use the sine formula to solve the problem given

[tex]\frac{sin A}{a}[/tex] = [tex]\frac{sin C}{c}[/tex]

from the question given;

A = ?

C = 23°

c=AB  = 6 cm

a=BC = 13 cm

substitute the values into the formula above

[tex]\frac{sin A}{a}[/tex] = [tex]\frac{sin C}{c}[/tex]

[tex]\frac{sin A}{13}[/tex]  =  [tex]\frac{sin 23}{6}[/tex]

cross -multiply

6 sinA =  13 sin23°

sin A = 13 sin23°  /  6

sin A = 0.84658

take the [tex]sin^{-1}[/tex] of both-side

[tex]sin^{-1}[/tex] sin A =  [tex]sin^{-1}[/tex] (0.84658)

on the left-hand side of the equation [tex]sin^{-1}[/tex] will cancel-out sin leaving us with just A

A =  [tex]sin^{-1}[/tex] (0.84658)

A ≈ 57.84°

angle BAC = 57.84°

Which of the following is a geometric sequence?

0, 2, 6, 12, 72, . . .
4, 9, 14, 19, 24, . . .
1, 3, 9, 27, 81,

Answers

Answer:

1, 3, 9, 27, 81, is a geometric sequence.

Step-by-step explanation:

A geometric sequence is basically a sequence of numbers that's multiplied by or divided one specific set number each time.

0, 2, 6, 12, 72, does not have a set number it is multiplied or divided by each time.

4, 9, 14, 19, 24, adds 5 each time, it doesn't multiply

Answer:

D - 1, 3, 9, 27, 81, . . .

Step-by-step explanation:

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The value of homes in Baltimore, Maryland is dropping by 2.5% each month. If a housecosts $215,000 now, how much is it expected to be worth in 6 months A linear function has a slope of -7 /9 and a y-intercept of 3. How does this function compare to the linear function that is represented by the equation y + 11 = -7/9 (x minus 18)? Where did they go? What was at 158th Street? In the Great Gatsby How did rail road change texas You conduct a series of two-point mapping crosses involving five genes located on chromosome III and obtain the following percentage of recombinant offspring: h-cu eyg-h eyg-cu rai-eyg rai-h rai-cu th-cu th-h th-eyg th-rai 23.5% 9.0% 14.5% 18.5% 9.5% 33.0% 6.8% 16.7% 7.7% 26.2% Considering that rai is near the end of chromosome III, construct a map of these genes. Drag gene names to blue targets and map distances to pink targets.a. 6.8b. 7.7c. 9.0d. 9.51. cu2. eyg3. h4. th1. The genes for miniature wings (m) and garnet eyes (g) are approximately 8 map units apart on chromosome 1 in Drosophila. Phenotypically wild-type females (m+g / mg+) were mated to miniature-winged males with garnet eyes (mg / mg). Which of the following phenotypic classes reflect offspring that were generated as a result of a crossover event?a. miniature wings,b. wild-type eyesminiature wings,c. garnet eyeswild-type wings,d. garnet eyeswild-type wings,e. wild-type eyes2. If 800 offspring were produced from the cross, in what numbers would you expect the following phenotypes?a. wild-type wings, wild-type eyes :_____. b. miniature wings, wild-type eyes :_____. c. wild-type wings, garnet eyes :_____. d. miniature wings, garnet eyes:_____. Each of the musketeers has a lackey (servant). List at least four duties that the lackeys are responsible for. What is the area of the composite figure shown?A) 42.4m2B) 41.7m2C) 32.8m2D) 63m2 2. How might the people of the Middle East have viewed the West African statesbefore Mansa Musa's visit? Idk how to explain it please help question 11! The number of hours of daylight measured in one year in Ellenville can be modeled by a sinusoidal function. During 2006, (not a leap year), the longest day occurred on June 21 with 15.7 hours of daylight. The shortest day of the year occurred on December 21 with 8.3 hours of daylight. Write a sinusoidal equation to model the hours of daylight in Ellenville. you purchase a cafeteria business for $15,000. you put $2,250 down and finance the rest to pay off the loan in 5 years at 12% true annual interest. what are your monthly payments to pay off the loan ? Connor (is not or is) correct because the rate of water flowing is (greater than or less than or equal to) the slope. Water is flowing at a rate that is (greater than or equal to or less than) 2 gallon per minutes HELP ME PLZZZZZZZZZZZZZZZ Which activity is part of the pre-writing process Determine the possible side lengths of the third side of a triangle with known side lengths of 6 and 12. A) 6 < c < 18 B) 6 < c < 18 C) 12 < c < 6 D) 6 < c < 12 14. The idea that the Supreme Court might reverse an earlier decision using current values such as a case on thedeath penalty, is a case that might be decided using which of the following?judicial activismSenatorial pressurePresidential preferencejudicial review eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee Given that lines m and n are parallel and that line t is a transversal, themeasure of angle 3 is ____ degrees. Which unit would you use to measure the weight of a car?O mgO kgO gO km Would you rather Have the profit from a downtown hotel with 122 guest rooms, an average price of $239/night or Have the profit from a rural beachside villa with 62 units, average price of $499/night? * 5 6x = 8x + 17 and simplify [tex]\frac{-6}{7}[/tex]