Given congruent triangles ΔRST ΔLMN where MN = 33, LN = 54, and RT = 4x+6 . Find the value of x

Answers

Answer 1

Answer:

x=12

Step-by-step explanation:

We know that both triangles are congruent meaning corresponding parts are equal. We know that line LN=54 and that RT=LN meaning that RT also equals 54. With that information we can simply subtract 6 from 54 to get 48 then divide by 4 to get  12. Hope this helps!


Related Questions

what's X+ 3 = x^ 3- 7x + 5​

Answers

Answer:

2.693995, or −2.945995 or 0.252

Step-by-step explanation:

plssssssss helppppp !!!!!!!!!!!!!!!

Answers

Answer:

M = 6 inches

Step-by-step explanation:

M and the line that straight up says "6 in" are the same size. besides, this gives us very little information to go off of.

May I have brainliest please? :)

Answer : M = 7.5 Inches

Step-by-step explanation:

Its obvious.

what is 1/4 of 40. write and solve equation

Answers

Answer:

10

Step-by-step explanation:

To find 1/4 of 40, is the same as dividing 40 into four parts (each of the four parts become 1/4 of the whole). 40/4=10.

There are 36 students in the chess club, 40 students in the drama club, and 24 students in the film club. What is the ratio of students in the drama club to students in the film club?

Answers

Answer:

5 to 3 (5:3)

Step-by-step explanation:

drama: 40     film:24

40:24         /2

20:12         /2

10:6           /2

5:3

Answer: 5/3

Step-by-step explanation:

The ratio is 40/24 and to simplify this, you need to divide both sides by the largest number possible while still getting a whole number. You can divide both sides by 8 which will get you 5/3.

The ratio of students in the drama club to students in the film club is 5/3.

Robert had money in his savings account. He spent $35.80 of it on a new jacket. He has $70 left. How much money did he have in his savings before he bought the jacket?

Answers

Answer:

105.8

Step-by-step explanation:

All you have to do is add them up :)

Answer:

95.80

Step-by-step explanation:

Btw this is very easy Hope this Helps tho (✿◡‿◡)

Right triangle LMN is shown. What is the length of the hypotenuse, x, of triangle LMN? Round your answer to three decimal Places. Use the equation below.

Answers

Answer:

55.866 ft

Step-by-step explanation:

[tex] c^2 = a^2 + b^2 [/tex]

[tex] x^2 = 40^2 + 39^2 [/tex]

[tex] x^2 = 1600 + 1521 [/tex]

[tex] x^2 = 3121 [/tex]

[tex] x = \sqrt(3121} [/tex]

[tex] x = 55.8659 [/tex\

Answer: 55.866 ft

The length of the hypotenuse, x, of triangle LMN to 3 decimal place is

55.866 ft

using Pythagoras theorem,

c² = a² + b²

where

c = hypotenuse

a and b are the 2 other legs.

Therefore,

40²+ 39² = x²

1600 + 1521 = x²

x² = 3121

square root both sides

x = √3121

x = 55.8659108939

x ≈ 55.866 ft

learn more: https://brainly.com/question/16865247?referrer=searchResults

write the equation of the line that passes through the given points. (0,-1) and (-11,-4)

Answers

Answer:

Line equation

y=0.2727272727272727x−1                Slope 0.27         Intercept   -1

Step-by-step explanation:

what is the measure of <x​

Answers

Answer:

x = 24°

General Formulas and Concepts:

Pre-Alg

Equality Properties

Geometry

Definition of a Line: A line is 180°

Step-by-step explanation:

Step 1: Set up equation

x + 156 = 180

Step 2: Solve for x

Subtract 156 on both sides:               x = 24

A local hamburger shop sold a combined total of 509 hamburgers and cheeseburgers on Monday. There were 59 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Monday.
How many hamburgers were sold on Monday?

Answers

Answer:

I believe 225 hamburgers were sold on Monday.

Step-by-step explanation:

I need help with this question

Answers

q + s = q + 1, we know because you can substitute s for 1 according to the number line.

Based on the Venn diagram below, how many students are in band?

A.) 9
B.) 25
C.) 17
D.) 14

Answers

It would be b.) 25 because you need to add 17+8 because the 8 means they are in band and choir

B.) 25 is the answer

1. The width of a rectangle is x centimeters and its length is (x + 5) cm.
(x + 5)
Diagram not drawn to scale
(a) Write down an expression for the perimeter of the rectangle, giving your
answer in its simplest form.
The perimeter of the rectangle is 62 cm.
(b) Work out the length of the rectangle.

Answers

Honestly don’t know

The expression for the perimeter is 4x + 10 = 62 and the length of the rectangle is 18 cm.

What is a perimeter?

The perimeter is the distance around the edge of a shape.

Given that the width of the rectangle is x cm, length is x+5, and the perimeter is 62.

The general equation for the perimeter of a rectangle is given by

2 (length + width) = perimeter

By substituting the values we get

2(x+5+x) = 62

i.e 4x+10 = 62

x=52/4 = 13

Then length is given by

x+5 = length 

i.e length = 18

Hence the 4x + 10 = 62 is the expression for the perimeter of a rectangle of length 18cm.

To learn more about perimeter, use the link given below:

https://brainly.com/question/6465134

#SPJ2

(0,-4) graph the vertex

Answers

Answer:

Look below for the screenshot :)

Plz need help
It’s for geometry

Answers

Answer:

Angle x = 48

Angle y = 42

Side w = 1.6cm

Divide 1.75 × 10^-2 by -7.3 × 10^-8. Express your answer in scientific notation. Round the coefficient to two decimal places.​

Answers

Answer:

-2.4 · [tex]10^{5}[/tex]

Step-by-step explanation:

i will mark brainliest please help

Answers

Answer:

The answer would be two and four

Step-by-step explanation:

Answer:

II and IV

Step-by-step explanation:

H and S only would appear the same after 180° rotation.

Anyone else Feel there not enough :(

Answers

Answer:

bro you good go talk to someone if you need mental health

Step-by-step explanation:

4.Which of the following sentences can be expressed by the inequality 16−5x≥1?


A.The difference of 16 and the product of 5 and a number is no less than 1.


B.16 less than the product of 5 and a number is no less than 1.


C.The difference of 16 and the product of 5 and a number is greater than 1.


D.16 less than the product of 5 and a number is greater than 1.


5.The product between 6 and 4 less than x is no more than 20.


Which expression among the following is equivalent to the sentence above?


A.6(4−x)≤20


B.6(x−4)≤20


C.6×4−x≤20


D.x−6×4≤20

*Please make sure you answer all of the questions please and thank you :)

Answers

Answer: TO THE ENTIRE TEST

Step-by-step explanation:

1. C. a<b

2.A. x >_0

3. A. The product between 3 and a number is greater than 9

4. B. The difference of 16 and the product of 5 and a number is no less than 1

5.B. 6(x-4)<_20

Question 1 (20 points)
Ify is directly proportional with x and ya 10 when x = 5, what is the value of y when x = 27

Answers

Answer:

yo noob this is no 20 points

Step-by-step explanation:

Answer:

the answer is 54

Step-by-step explanation:

samuel washes the supper dishes each night as a part of his chores.
it takes him 1/3 an hour to clean the dishes
if samuel has to wash the dishes 5 times a week. how many minutes does he spend washing the dishes?

Answers

He has to spend 1 hour 40 minutes washing doshes (100 minutes)

50 points!!!
1.A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Find the length of each side of the triangle.

What equation represents the perimeter of the triangle if the second side is length s?
(2s + 65) + (s) + (s + 10) = 165
(2s - 65) + (s - 10) = 165
(2s - 65) + (s) + (s - 10) = 165
3s = 165

2. A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Find the length of each side of the triangle.

What is the length of each side of the triangle?

65 cm, 55 cm, 45 cm
55 cm, 60 cm, 50 cm
45 cm, 60 cm, 60 cm
not enough information to solve

Answers

FIRST, we need variables. Once we define variables, it's much easier to turn this word problem into a math problem.

Let a = first side

Let b = second side

Let c = third side

NOW, we can turn the words into equations:

"a triangle has a perimeter of 165 cm."

a + b + c = 165

"the first side is 65cm less than twice the second side."

a = 2b - 65

"the third side is 10cm less than the second side."

c = b - 10

Before we finish, I have to ask: Who writes problems like this??? Pointless problems like these are why kids don't like math! Ugh. Drives me crazy. It's a shame, because solving math problems really does have a certain satisfaction, once you learn how. [Okay. I'm done. Back to the problem.]

If we could get this to have only one variable, we could solve it. Substitution to the rescue!

 

a + b + c = 165 (rewrote equation from above)

(2b - 65) + b + (b - 10) = 165 (substituted "a" and "c" from equations above)

See how that works? Let's solve it.

2b - 65 + b + b - 10 = 165 (dropped the parentheses, because there was nothing to distribute, not even a minus sign)

4b - 75 = 165 (combined like terms)

4b = 240 (added 75 to both sides)

b = 60 (divided both sides by 4)

We found the second side! We can find the first and third sides using those equations from above:

a = 2b - 65

a = 2*60 - 65

a = 120 - 65

a = 55

c = b - 10

c = 60 - 10

c = 50

All done.

PLEASE MARK ME AS BRAINLIEST

Step One - Define the Unknown Variable

First we need to define our unknown variable. For this case, I am going to use the letter 's' for the second side of the triangle (no actually because the question told you to). The reason I am using the second side as the unknown is because the second side is independent. The first and third sides' lengths depend on the length of the second side.

Step Two - Write an Equation

We need to use what we know to write the equation. First, we know that the perimeter of a polygon is the sum of the lengths of all the sides. The first side is 65 less than two times 's'. This would be 2s-65. The second side is just s. The third side is 10 less than 's'. So it would be s-10. The perimeter is all of the sides added up, so the expression for all the sides added up is                    (2s-65)+(s)+(s-10). The first, second, and third side added up is 165. So the equation for 1. is (2s-65)+(s)+(s-10) = 165.

Step Three - Solve the Equation

To solve the equation, you need to isolate the variable, which is 's'.

First, let's simplify the equation.

(2s-65)+(s)+(s-10) = 165.

4s-75 = 165.

Now we need to remove the 75. To get rid of the 75, you must add 75. But since you are adding 75 to one side of the equation, you must add 75 to the other side of the equation to make it equal.

4s-75+75 = 165+75

4s = 240

Now we need to remove the 4. To get rid of the 4, you have to divide each side by 4.

4s÷4 = 240÷4

s = 60

The length of the second side is 60 cm.

Step Four - Find the Lengths of all Sides

Now we know the length of the second side, we can find the length of the other sides.

The first side is 65 less than two times of 60.

Two times of 60 is 60×2 or 120.

65 less than 120 is 120-65 or 55.

The first side is 55 cm.

The third side is 10 less than 60.

10 less than 60 is 60-10 or 50.

The third side is 50.

So the lengths of the three sides are 55, 60, and 50.

Step Five - Check Your Answer

Now let's see if the three sides added up equals to 165.

Well, 55+60+50 does equal 165, so we know this is right.

The equation that represents the perimeter of the triangle is                      (2s + 65) + (s) + (s + 10) = 165. The length of each side of the triangle is 55, 60, and 50.

Mark has to travel a distance of 400 miles. He travels at a speed of 50 miles per hour. The function f(x) = 400 − 50x represents the distance he has to travel after x hours. Identify the graph that describes this function and its intercepts. What does each intercept represent?

Answers

Answer:

x-intercept: 8; the number of hours

y-intercept: 400; distance to be covered

Find the zeros of the function.
f(x) = 2x2 – 2x – 12

Answers

Answer:

Step-by-step explanation:

2x^2-2x-12

This has solutions of x=3 and x= -2

2(x^2-1x-6) = 0
2(x - 3)(x + 2)
x = 3, x = -2

whats the domain {[-1.5,3.5),(2.5,-1.5),(3,-1),(-1.5,-3.5)}​

Answers

Answer:

-1.5<x<3

_ _

idk how to type less than or equal to signs but thats what I'm trying to say

what is 3X^2 × 2X^3​

Answers

Answer:

Step-by-step explanation:

3x^2 * 2x^3= 6x^5

Multiply the 3 and 2 to get 6. Add the exponents.

SUPER EASY 20 POINTS HELP ME

Answers

Answer:

x=10

Step-by-step explanation:

Just do the math. Its easy.

Answer:

x=10

Step-by-step explanation:

i dont explain

The triangles in the picture are congruent by which method.

Answers

Answer:  D) AAS

Explanation:

Check out the diagram below. I've marked the angles that pair up which are congruent to one another. Note the order is important. The AAS rule is different from ASA. In the diagram, the green segments are not between the red and blue angles.

Note: the blue angles are congruent by the vertical angle theorem.

Solve for y: 4x + 2y = 6

Answers

Move all terms that don't contain y to the right side and solve.

y = 3 − 2x

Answer:

Y= 2x - 3

Step-by-step explanation:

PLZZZ ANSWER ASAP!! DUE SOON! ONLY ANSWER IF YOU ARE CORRECT, I CANNOT GET THIS WRONG!!!

Answers

Answer:

3 and 4 are complementary angles

Step-by-step explanation:

I cant see the answers very well so if that isnt an answer lmk

Each box holds 6 black markers and 4 red markers. Derek has 0 boxes of markers. Write a number sentence that shows how many markers Derek has. Explain how you found your answer.

Answers

Answer:

0 x 1 x 10 = 0

Step-by-step explanation:

0 x 1 x 10 = 0

This is problem that has to do with multiplication with 0.

Since Derek has 0 boxes of markers and each box contains 10 markers, 6 black and 4 red, think of it as Derek having 0 groups of a box of markers. This means Derek has 0 boxes where each box contains 10markers.

0 boxes means Derek has no markers.

Other Questions
Wild herds of cattle lived in both north and east Texas.Please select the best answer from the choices providedTF Can somebody help me with my SS assignment? Which two substances are produced during photosynthesis? Help me with this question pleaseee Tasha is a biochemical engineer working for a lab that is attempting to find solutions to pollution. what skill would be helpful to Tasha to her career? a. artistic and loves musicb. people person c. likes to solve problemsd. enjoys working with her handswhich one? What is the x-intercept of the line? Pls help me asap it's due today brainlyest included!!!! A frog leaps with a displacement equal to vector u and then leaps with a displacement equal to vector v, asshown below. PLEASE HELP!! IL MARK AS BRAINLIEST!! The flow of water out of a bathtub would best be described as which type of data?A. DiscreteB. ContinuousC. Linear The____ of a group along with the beliefs that go along with them make up its____ Diego has $12 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $84 and begins spending $3 per week on supplies for her art class. Is there a week when they have the same amount of money? How much do they have at that time? After_______weeks both Diego and Lin will have_____dollars What did Thomas Hobbes believe Which sentences in the passage correctly describe the intermediaries in the distribution process?A. Brokers purchase goods from various producers and stock them. B. They sell stocks of goods to different retailers according to their requirement.C. Distributors facilitate the logistics function of storing goods at a suitable location until they can be dispatched. D. They also finance the sale at times, which implies that they provide credit to retailers. SOME ONE HELP PLZ CALCULATE THE CIRCUMFERENCE AND AREA OF A CIRCLE Please help!!!!!! BRAINLIST IF ANSWERI really need help with this!Thank you :) Old work anybody wanna help If warmer oceans soak up less CO2, what effect do you think rising ocean temperatures will have on the amount of CO2 in the atmosphere ? 2 The outside temperature is -3F and falling at a rate of 2 degrees per hour. What will the temperature be in 5 hours? If you are measuring between two planets which unit of measurement is appropriate to use? Why is nitrogen important for the plants?