If RT=36, find the value of x

If RT=36, Find The Value Of X

Answers

Answer 1

Answer:

4

Step-by-step explanation:

So we know that RT is 36.

Note that RT is the combined length of RS and ST. Therefore:

[tex]RT=RS+ST[/tex]

Substitute. RT is 36, RS is 6x+1 and ST is x+7:

[tex]36=(6x+1)+(x+7)[/tex]

Combine like terms and add:

[tex]36=7x+8[/tex]

Subtract 8 from both sides:

[tex]28=7x[/tex]

Divide by 7:

[tex]x=4[/tex]

So, our answer is 4 :)


Related Questions

Evaluate the expression: 15c4
A. 8,190
B. 32,760
C. 1,365
D. 5,460

Answers

Answer:

C. 1365

Step-by-step explanation:

The expression nCr can be written with the simple equation:

n! / ((n-r)! * r!)

So to evaluate 15C4:

15! / ((15-4)! * 4!)

= 1365

So 15C4 = 1365

Cheers.

Answer:

1365

Step-by-step explanation:

15!/4!(15-4)!

1365

Glorias teacher asks her to draw a triangle with 90 degree angle and a 42 degree angle. How many unique triangles can Gloria draw that meet her teachers requirements

Answers

Answer:

Just two

Step-by-step explanation:

Glorias teacher asks her to draw a triangle with 90 degree angle and a 42 degree angle.

The presence of 90 degrees indicates that it's a right angle triangle.

The remaining angle= 180-90-42

The remaining angle= 48 degrees

Due to the presence of 90 degrees, the angle 42 and 48 degrees will interchange two times only to form only two unique triangles.

When two lines crosses, it is found that the angle opposite each other are thesame sizes. They are known as what

Answers

Answer:

vertical angles

Step-by-step explanation:

Opposite angles that are congruent are known as vertical angles.

Which One Doesn't Belong?
3x - 5
12x
1 + x
x2 + 5x + 6

Answers

3x-5 does not belong

Reasoning :

Plug in “1” to each X unit

3(1) -5 = -2
12(1) = 12
1 + (1) = 2
(1)2 + 5(1) + 6 = 13

all are positive except 3x-5

so 3x-5

Let a function f (x) = x² + 1
Find f (4):​

Answers

Answer:17

Step-by-step explanation:

Plug in 4 in the place of x and then add 1

[tex] &#128075 [/tex] Hello ! ☺️

Step-by-step explanation:

F(x)= x² +1

[tex] f(4) = 4 {}^{2} + 1 [/tex]

[tex] f(4)= 16+1 [/tex]

[tex]\boxed{\color{gold}{f(4) = 17}} [/tex]

[tex]<marquee direction="left" scrollamount="2" height="100" width="150">&#x1F498;Mynea04</marquee>[/tex]

In a multiplicative model, if the seasonal factor is 1.15 for a particular season, then we expect that the time series in that season would be (other things being equal

Answers

Answer:

15% above the trend.

Step-by-step explanation:

A time series represented by Y comprises of dataset observed over a particular period of time. Time series is handy in determining the future of a particular business.

In a multiplicative model, if the seasonal factor is 1.15 for a particular season, then we expect that the time series in that season would be

Y = T × C × S × 1

where;

Seasonal S = 1.15

As such Y would increase by 15% above the trend if all other things are being equal.

Solve equation x-9= -12

Answers

Answer: x=-3

Step-by-step explanation:

move -9 over to -12 and the 9 becomes positive and then add -12+9 and your answer will be negative

x-9=-12
+9=+9
————
X=46

A temperature recorded in Antarctica was - 122°F. The temperature recorded in the Sahara Desert was 130°F. How many degrees warmer is 130°F than - 122°F?
ebook

Answers

Answer:

252* warmer

Step-by-step explanation:

130 -(-122) = 130 + 122 = 252

15. (01.01)
What is the value of the radius of the following circle with an area of 154 cm2? (1 point)
Area

154 cm^2

*4.9 cm
*7.0 cm
*25 cm
*68 cm​

Answers

Answer:

The answer is option B

Step-by-step explanation:

Area of a circle = πr²

where

r is the radius of the circle

From the question

Area = 154cm²

To find the radius substitute this value into the above formula and solve for the radius

That's

154 = πr²

Divide both sides by π

We have

[tex] {r}^{2} = \frac{154}{\pi} [/tex]

Find the square root of both sides

Thats

[tex]r = \sqrt{ \frac{154}{\pi} } [/tex]

r = 7.0014086

We have the final answer as

radius = 7.0 cm

Hope this helps you

I need help with this question !!!!!!!

Answers

Answer:

f(x) = -5 if -5 <= x <= -3

f(x) = -2 if -3 < x <= 2

f(x) = 5 if 2 < x <= 6

Step-by-step explanation:

This is a simple piece wise function. Notice there are three lines or "solutions" for y-values over a range of x-values. Also notice there are filled in and not filled in circles. If the circle is not filled in, then it is not a solution. If it is, then it is a solution.

So for this, -5 is the solution if the range of x is from -5 through -3 inclusive since it has filled in circles.

-2 is a solution if the range of x is from -3 exclusive through 2 inclusive since at -3 it's open circle and 2 is filled.

5 is a solution if the range of x is from 2 exclusive through 6 inclusive since 2 it's open circle and 6 is filled.

To right that in notation simply

f(x) = -5 if -5 <= x <= -3

f(x) = -2 if -3 < x <= 2

f(x) = 5 if 2 < x <= 6

Cheers.

What is the value of 4 in the number 45?

Answers

Answer:

40

Step-by-step explanation:

4 is in "Ten's place".

So, the number is multiplied with 10.

=> 4 x 10

=> 40

The value of 4 in 45 = 40

What's the value of x in the figure? A) 78° B) 57° C) 76° D) 33°

Answers

Answer:

x = 78

Step-by-step explanation:

57° + x° = 135° (alternate angles, // lines)

x = 135 - 57

= 78

I hope this helps :)

3-7 Please Help BRAINLEST

Answers

Hi there! Hopefully this helps!

----------------------------------------------------------------------------------------------

Answer: r = 7.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]17 = r + 10[/tex]

Swap sides so that all variable terms are on the left hand side.

[tex]r + 10 = 17[/tex]

Subtract 10 from both sides.

[tex]r = 17 - 10[/tex]

Subtract 10 from 17 to get, you guessed it, 7!
Answer : r = 7
Using transposition method taking 10 to LHS will be -10
= r = 17-10
r = 7
Verification :
17 = r + 10
17 = 7+10
17 = 17
HENCE, LHS=RHS

NEED HELP ASAP!! I need to find out x!! Trigonometry!!

Answers

Answer:

Hey there!

Well first, don't feel bad, since trig is really hard, especially if you are just learning it.

If you've learned about SOH CAH TOA, you will see that TOA is the best identity to use here.

tangent 20=x/10

tangent 20 (10)=x

x=3.64

Let me know if you have any other trig questions, I'm always here to help :)

If a = 5 b = 3 and c = 2
2ab =

Answers

Answer:

30

2ab=2*5*3

30

hope it helps

Answer:

30

The equation re-written would be

2 · 5 · 2 = 30

Simplify. Show your work 9x5+4=

Answers

Answer:

49 or 7^2

Step-by-step explanation:

9 x 5 + 4

=> 45 + 4

=> 49 or 7^2

Answer: 49

Step-by-step explanation: Multiply 9 and 5. Then add 4. Use PEMDAS.

9 × 5 = 45

45 + 4 = 49

Please help me! i need to do this by Friday

Answers

Answer:

Step-by-step explanation:

x+118 degrees =180 degrees

x +118 degrees-118degrees =180 degrees - 118 degrees

                                         x =62 degrees

Ivan and Adeline are in a classroom with a chalkboard. They are standing on different halves of the board, and on each half, the number $2$ is written. When Ivan's teacher gives a signal, Ivan multiplies the number on his side of the board by $-2$ and writes the answer on the board, erasing the number he started with. Adeline does the same on each signal, except that she multiplies by $2$. The teacher gives 10 signals in total. How many times (including the initial number) do Ivan and Adeline have the same number written on the board (including at the beginning)?

Answers

Answer:

The number of times Ivan and Adeline have the same number written on the board is 6.

Step-by-step explanation:

Consider the procedure as follows:

On each half of the board, the number 2 is written.On Ivan's teacher's signal, Ivan multiplies the number on his side of the board by -2 and writes the answer on the board, erasing the number he started with.Adeline does the same on each signal, except that she multiplies by 2. The teacher gives 10 signals in total.

Consider the numbers on each half of the board:

          Ivan                            Adeline

             2                                     2

      2 × -2 = -4                        2 × 2 = 4

     -4 × -2 = 8                         4 × 2 = 8

      8 × -2 = -16                      8 × 2 = 16

   -16 × -2 = 32                      16 × 2 = 32

   32 × -2 = -64                    32 × 2 = 64

  -64 × -2 = 128                   64 × 2 = 128

  128 × -2 = -256               128 × 2 = 256

-256 × -2 = 512                256 × 2 = 512

  512 × -2 = -1024              512 × 2 = 1024

-1024 × -2 = 2048           1024 × 2 = 2048

Thus, the number of times Ivan and Adeline have the same number written on the board is 6.

Find ordered pair that is solution for liner equation 4x - 5y=20

Answers

Answer:

(0,-4) (5,0)

Step-by-step explanation:

4x-5y=20

First, we must put the equation into slope intercept form: y= mx+b

5y=4x-20=y=4/5x-4

The y intercept, by definition, is b. In this scenario, b is -4.

One ordered pair that works is (0,-4).

Also, we can find the ordered pair for the x intercept. By definition, the x intercept is the value of x when y equals zero. hence, we substitute 0 for y and then we can find an ordered pair that works and solve for x!:

0=4/5(x)-4= 4=4/5x4x=20x=5

Therefore, (5,0) works as well!

Part 1: Use the transformations to prove congruency​

Answers

Answer:

See Explanation

Step-by-step explanation:

[tex] \overline{CB} ||\overline {ED}... (GIVEN) \\

\& BD\:\&\: CE \: are \: transversals\\

\angle CBF\cong \angle EDF.. (alternate \: \angle 's) \\

\overline{CB} \cong \overline {ED}..... (GIVEN) \\

\angle BCF \cong \angle FED.. (alternate \: \angle 's) \\

\therefore \triangle CBF \cong \triangle EDF.. (By \: ASA\: Postulate) [/tex]

Answer:  see proof below

Step-by-step explanation:

   Statement                     Reason

1. CB || ED                       1. Given

2. ∠E ≅ ∠C                     2. Alternate Interior Angle Postulate

3. ∠D ≅ ∠B                     3. Alternate Interior Angle Postulate

4. CB ≅ ED                     4. Given

5. ΔCBF ≅ ΔEDF            5. ASA Congruency Theorem

A unit vector lies in the xy plane, at an angle of 137 degrees from the x axis, with a positive y component. What is the unit vector

Answers

Answer: ( -0.731,  0.682)

Step-by-step explanation:

The unit vector is defined as a vector that points in the same direction as our vector (137 degrees from the x-axis) and has a magnitude of 1.

Knowing the angle, is really simple to do it.

First, we know that for a radius R and an angle A, the rectangular coordinates can be written as:

x = R*cos(A)

y = R*sin(A)

And if we want that the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 137°

x = 1*cos(137°) = -0.731

y = 1*sin(137°) = 0.682

Then the unit vector is: ( -0.731,  0.682)

The unit vector is ( -0.731,  0.682)

The calculation is as follows:

[tex]x = R\times cos(A)\\\\y = R\times sin(A)[/tex]

And the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 137°

so,  

[tex]x = 1\times cos(137) = -0.731y = 1\times sin(137) = 0.682[/tex]

Then the unit vector is: ( -0.731,  0.682)

learn more: https://brainly.com/question/20492533?referrer=searchResults

HELP ME WITH THIS PROBLEM PLEASE the problems are 1-3
(The problems are in a picture)

Answers

1. 3 times a number less than the sum of twice a number and 2.

Let x be the number

The sum of twice of x and 2 is 2x + 2.

3 times a number less than this is 2x + 2 - 3x = -x + 2.

2. 6 multiplied by the sum of a number and 8.

Let x be the number

The sum of a number and 8 is x + 8.

6 multiplied by this is 6(x+8) = 6x + 48

3. Jane saves $10 per week, so after w weeks, she saves 10w.

She already has $50, so she then has 50 + 10w.

Help! ASAP pls There is a frog dead in the center of the pond on a lily pad. The pond is 7 meters in diameter. There are 6 lily pads leading to the edge, which the frog MUST jump onto if he wishes to get out. The frog can only jump to 3 pads each day. How many days will it take him to get to the edge of the pond? And give an explanation

Answers

Answer:

Approximately 2 days.

Step-by-step explanation:

The frog can only jump 3 lily pads each day.

24 hours = 1 day

[tex]\frac{24}{3}[/tex] = 8 hours

Thus, it would take the frog 8 hours to cover a lily pad.

To get to the edge of the pond, the frog would jump through 6.5 lily pads (since he is at the middle of a lily pad at the center of the pond).

So that;

Total time required to get to the edge of the pond can be determined by;

6.5 × 8 hours = 52 hours

Number of days to get to the edge of the pond = [tex]\frac{52}{24}[/tex]

                                                                    = 2.2

It would take him approximately 2 days to get to the edge of the pond.

Hey Jean’s grandmother is teaching him how to make a salsa recipe each batch of salsa requires one for 12 cup of red onions if they have one and a half cup of red onions how many batches of salsa can they make

Answers

Answer:

Number of salsa batches produced = 18 batches

Step-by-step explanation:

Given:

1 red onion = 12 batch of salsa

Amount of red onion = one and half (1.5)

Find:

Number of salsa batches produced

Computation:

Number of salsa batches produced = 1.5 × 12

Number of salsa batches produced = 18 batches

Two bags contain 10 balls each. Every round, you choose with equal probability one of the 2 bags and pick out a ball. After a while, you choose an empty bag. What is the probability for the other bag to contain exactly 4 balls at that time?
a. 2.90%
b. 6.10%
c. 10.80%
d. 12.20%

Answers

Answer: b) 6.10%

Step-by-step explanation:

to find the probability for the other bag to contain exactly 4 balls at that time;  

is only possible if you have chosen a particular bag 10 times and other bag 6 times.

After that, once again at the 17th attempt

so the required probability =     ¹⁶c₁₀ × (1/2¹⁰ × (1/2)⁶ × (1/2)

= 0.610

CONVERT TO PERCENT

0.610 × 100

= 6.10%

If _____, the Triangle)ABC and Triangle)EFD are congruent by the ASA criterion
-Angle B is congruent to angle E
-Angle C is congruent to angle E
-Angle a is congruent to angle E

If______,then triangle)ABC and triangle)EFD are congruent by the SES criterion
-AB = DE
-BC = FD
-CA = FD

Answers

Answer:

1). Angle c is congruent to angle E

2) BC=FD

How much is 18% Equal to in a decimal

Answers

Answer: .18

Step-by-step explanation:

Question: -2 - (-4)

Answers

Answer:

2

Step-by-step explanation:

Follow PEDMAS

[tex]-2 - (-4)[/tex]

Follow rule : -(-a)= + a

[tex] - 2 + 4 \\ = 2[/tex]

Answer:2

Step-by-step explanation:

Which of the following is equal to the opposite of −45? −(−45) −45 −|−45| −|45|

Answers

Answer:

−(−45)

I hope this helps.

Answer:

−(−45)

Step-by-step explanation:

Write a decimal expansion for 2/9. Chose the correct decimal notation.

Answers

Answer:0.222222

Step-by-step explanation:

DIVIDE 2 BY 9

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