If AB=2x BC=x+20 and AC=50 what is the value of x

Answers

Answer 1

Answer:

x = 10

Step-by-step explanation:

AC = AB + BC

Substitute the values for the line segments:

50 = (2x) + (x + 20)

50 = 2x + x + 20

Combine like terms:

50 = 3x + 20

Subtract 20 from both sides:

30 = 3x

Divide both sides by 3:

10 = x

Check your work:

50 = 2(10) + 10 + 20

50 = 20 + 30

50 = 50

Correct!


Related Questions

can anyone solve this question​

Answers

Answer:

12 in Mathematics and 16 in Science

Step-by-step explanation:

12+16=28

12+3=15 and 16-4=12

15*12=180

Answer:

He got 12 marks in mathematics and 16 in science.  

Step-by-step explanation:

M + S = 28, (M + 3)(S - 4) = 180.

(M + 3)(S - 4) = MS - 4M + 3S - 12 = 180

MS - 4M + 3S - 12 = 180

MS - 4M + 3S = 192

M + S = 28

S = 28 - M

M(28 - M) - 4M + 3(28 - M) = 192

28M - [tex]M^{2}[/tex] - 4M + 84 - 3M = 192

-[tex]M^{2}[/tex] + 21M = 108

-[tex]M^{2}[/tex] + 21M - 108 = 0

(-M + 9)(M - 12) = 0

M = -9, 12

S = 37, 16

1st solution:

(-9 + 3)(37 - 4) = 180

-6 * 33 = 180

-198 = 180

2nd solution:

(12 + 3)(16 - 4) = 180

15 * 12 = 180

180 = 180

Therefore, M = 12 and S = 16.

PLS HELP I WILL MARK THE CORRECT ANSWER BRAINLIEST !!!!!!! PLS HELP IMAGE INCLUDED!!!!!!

Answers

The answer should be C,I finished my quiz last week

Kevin buys eggs and potatoes at the store.
He pays a total of $25.98.
He pays a total of $6.46 for the eggs.
He buys 4 bags of potatoes that each cost the same amount.

How much does each bag of potatoes cost?

Answers

i think $4.88. hope this helps! have a great day! ;)

use the diagram on the right. How many planes contain both the line and the point

a. FG and point P


b. EP and point G

Answers

Part (a)

Answer: 0

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

Explanation:

Point P is part of 3 planes or faces of this triangular prism:

plane PEF (the front slanted plane)plane PEH (the left triangular face)plane PHG (the back rectangular wall)

Notice how each three letter sequence involves "P", though this isn't technically always necessary. I did so to emphasize how point P is involved with these planes.

Each of the three planes mentioned do not involve line FG

Plane PEF only deals with point FPlane PEH doesn't have any of F or G involvedplane PHG only involves G

So there are no planes that contain line FG and point P.

==================================================

Part (b)

Answer: 0

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

Explanation:

It's the same idea as part (a) earlier. The planes involving point G are

plane GQF  (triangular face on the right)plane GFE (bottom rectangular floor)plane GHP (back rectangular wall)

None of these planes have line EP going through them.

As an alternative, we could reverse things and focus on all of the planes connected to line EP. Those 2 planes are

plane PEH (triangular face on the left)plane PEF (front slanted rectangular face)

None of these planes have point G located in them.

6 . The scale of a map is 1: 250 000. (a) The actual distance between two cities is 80 km. Calculate this distance on the map. Give your answer in centimeters. (b) On the map a large forest has an area of 6 cm?. Calculate the actual area of the forest. Give your answer in Square kilometres. ​

Answers

Answer:

The scale of a map is 1:250000.The actual distance between two cities is 80 km. Calculate this distance on the map. Give your answer in centimetre

Step-by-step explanation:

1 m = 100 cm

1 km = 1000 m = 100 000 cm

1:250 000 mean that 1 cm on the map represents an actual distance of 250 000 cm = 2.5 km

1:250 000 = 2.5 km / cm

80 km / 2.5 km / cm = 32 cm

OR

80 km = 8 000 000 cm

8 000 000 cm ∙ 1 / 250 000 = 8 000 000 cm / 250 000 = 32 cm

A clothing company buys t-shirts for $10 and sells them for $100. What is the percentage mark up on
t-shirts? Make sure you show at least one step of working

Answers

Answer:

900%

Step-by-step explanation:

Starting price : 10

End price: 100

100-10 = 90

90/10 = 9 = 900%

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

What is the degree of 5xpower2+6xpower2+7ypower2​

Answers

Answer:

7

Step-by-step explanation:

Explanation:

6x5+5x4−3x2+x7

Trang can run up a hill at 3 m/s and down the hill at 7 m/s. It takes her 60 seconds in total to
run up and then down the hill. What distance does she cover going from the bottom to the
top of the hill?

Please step by step explanation:)

Answers

Answer:

d=126 (m)

Step-by-step explanation:

Let say:

d the distance from the bottom to the top

t1 the time used for running up

t2 the time for running down

[tex]\left\{\begin{array}{ccc}d&=&3*t_1\\d&=&7*t_2\\t_1+t_2&=&60\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}d&=&3*t_1\\t_2&=&\dfrac{3}{7} t_1\\t_1+\dfrac{3}{7} t_1&=&60\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}t_1&=&\dfrac{60*7}{10}=42 \\\\t_2&=&\dfrac{3*42}{7}=18\\\\d&=&3*42=126\\\end{array}\right.\\[/tex]

Classify 7/8 as either a whole number natural number an integer or rational number

Answers

Answer:

rational number

Step-by-step explanation:

a whole number is a non-negative integer, a natural number is a positive integer, an integer is any number that doesn't have decimal places and isn't a fraction. 7/8 isn't an integer so it isn't a whole or natural number. rational numbers can be written as fractions or are terminating decimals. 7/8 is a fraction so 7/8 is a rational number

Determine the name of the polygon formed by the points below.

A(5,-1),B(0,5),C(4,5),D(-2,-1)


No spams.Answer should be well explained .Attach a diagram or graph of it .​

Answers

Answer:

Given

Points A(5,-1),B(0,5),C(4,5),D(-2,-1)

Plot the points and connect to get a trapezoid (attached).

Just consider this is going to be ACBD according to coordinates.

Step-by-step explanation:

Given points are A(5,-1), B(0,5), C(4,5) and D(-2,-1)

When the given points are plotted on a graph paper and are connected. Then the formed polygon is trapezoid.

Cody stamped 460 envelopes in 30 minutes. How many envelopes per minute did Cody stamp?​

Answers

Answer:

15 1/3 envelopes in 1 minutes

Step-by-step explanation:

Take the number of envelopes and divide by the number of minutes

460 envelopes / 30 minutes

15.333333.... envelopes per minute

15 1/3 envelopes in 1 minutes

Fill in the blank to complete this trig
ratio.
y
sin a =
[?]
a
Х
N
A
00
С
Х
У
N

Answers

Answer:

Z/X

Step-by-step explanation:

cause sin is p/h and p=Z and h=X

[tex] \displaystyle \large \tt{ \sin a = \frac{opposite}{hypotenuse} }[/tex]

First, we have to focus on ∠a, at the angle a or ∠a, the opposite is z because ∠a is the opposite side of z.

The hypotenuse side is always x, even if we change from ∠a to ∠b (b = 90°-a)

So what we have now are:

opposite = z (Refer to the bold text)hypotenuse = x (hypotenuse is always the side that is opposed to a right angle.)

Substitute the letter in the ratio:

[tex] \displaystyle \large \boxed{ \sin a = \frac{z}{x} }[/tex]

Divide. Write your answer as a fraction in simplest form. − 7 1/0÷2/5=

Answers

Answer:

-71/4

Step-by-step explanation:

Please help me I will mark brainliest :)

Answers

Answer:

X should equal 12.

Step-by-step explanation:

I say this because we know TED= 30° bc 50°-20° = 30

then u have to think about what × 2 + 6 equals 30

sure enough 12 × 2 = 24 and 24 + 6 = 30

that's why I say X equals 12


6.55743... is an irrational number because it is an
a terminating decimal
a repeating decimal
a non-terminating and non-repeating decimal
a non-repeating decimal
a non-terminating decimal

Answers

Answer:

#3. a non-terminating and non-repeating

Step-by-step explanation:

6.55743... never ends and it never repeats either

Answer:

Not terminating but doesn't repeat either

Step-by-step explanation:

I need some help on 9 and 10

Answers

Answer:

Step-by-step explanation:

9

The angles are vertically opposite. Vertically opposite angles are equal.

12x - 5 = 10x + 1           Add 5 to both sides.

12x = 10x + 5 + 1          Combine

12x = 10x + 6                Subtract 10x from both sides.

12x - 10x = 6                Combine

2x = 6                          Divide by 2

x = 6/2

x = 3

10

Adjacent angles to each other when sharing a side are supplementary

4x + 7 + 2x + 5 = 180             Combine like terms on the left

6x + 12 = 180                          Subtract 12 from both sides

6x = 180 - 12                          Combine

6x = 168                                  Divide by 6

x = 168 / 6

x = 28

5f+4f-8=19


Fhkdjdjjdjrkrjrj

Answers

Answer:

f = 3

Step-by-step explanation:

5f+4f-8=19

=> 9f = 19 + 8

=> 9f = 27

[tex] = > f = \frac{27}{9} [/tex]

=> f = 3 (Ans)

Multiply (-4) (-2) (-5)

-40

-8

8

40

Answers

Answer:

your answer is -40

I hope it's helps you

Answer:

-40

Step-by-step explanation:

-4*-2*-5

+8*-5

-40

-*-=+

-*+=-

Help
When i
is written as a decimal, how many digits are in the smallest sequence of repeating
digits?
OA) 3
B) 2
OC) 1
D) 0

Answers

I think it might be C
It’s B because if it was C it wouldn’t be repeating and A isn’t the smallest of the repeating decimals

a=23 an= 5 n=10 find d

Answers

Answer:

d=-2

Step-by-step explanation:

a10=5, a10=a+(10-1)d

5=23+9d, d=-2

Answer:

d is -2

Step-by-step explanation:

From arithmetic progression:

[tex]{ \bf{a_{n} = a + (n - 1)d }}[/tex]

substitute:

[tex]{ \sf{5 = 23 + (10 - 1)d}} \\ { \sf{5 - 23 = 9d}} \\ { \sf{9d = - 18}} \\ { \sf{d = \frac{ - 18}{9} }} \\ \\ { \sf{d = - 2}}[/tex]

A bag contains green balls and red balls only A ball is taken at random from the bag The probability of taking a green ball is 0.38 Write down the probability of taking a red ball and a blue ball ​

Answers

Answer:

blue ball is zero, red ball is 1-0.38=0.62

Step-by-step explanation:

1. no blue balls

2. probabilities have to add to 100%

SOMEONE HELP ME PLEASE

Answers

Answer: D,E,F

Step-by-step explanation:

collinear means points on the same line

Evaluate
15
r

1
r
15

−1start fraction, 15, divided by, r, end fraction, minus, 1 when
r
=
5
r=5r, equals, 5.

Answers

Answer:

do you have a photo that makes it easier?

I need help with geometry homework.

Use the figure to name each of the following.

1. The intersection of TV and US.
2. The intersection of US and plane R.
3. The intersection of TU and UV.

Answers

The point at which lines, planes and points meet is referred to as the point of intersection or simply intersection.

The intersection of TV and US, US and plane R & TU and UV is point U

From the attached figure, we have the following observations

1. Line segments TV and US intersects at point U.

This means that the intersection of TV and US is point U

2. Line segment US and plane R intersects at point U

This means that the intersection of US and plane R is point U

3. Line segments TU and UV intersects at point U

This means that the intersection of TU and UV is point U

Hence, the name of the three intersections is point U

Read more about lines and planes at:

https://brainly.com/question/13081016

If your gross monthly income will be $3,750, you need to determine the net pay for your monthly budget.

Your monthly net pay is

Answers

Answer:

The correct answer to the given question is $2,989.12. The monthly net pay is $2,989.12, when the gross monthly income is $3,750.

                                         Thank You

Answer: correct answer is 2,989.12

Step-by-step explanation:

1. Find the distance between the pair of points: (-8, -2) and (-4,5)

Answers

Hi, I'm happy to help!

To solve, this, we need to find the distance in x coordinates, y coordinates, then use the Pythagorean Theorem, let's solve!

First, we have to find the distance in x coordinate values. The first coordinate is -8, and the second is -4, which means there is an x distance of 4.

Next, we need to find the distance in y coordinate values. The first coordinate is -2, and the second is 5, meaning there is a y distance of 7.

From here, we use the Pythagorean Theorem. This states that a²+b²=c².

This applies to right triangles, which is what we have. The x distance is a, the y distance is b, and the overall distance is c. We need to find c to answer the question. Let's plug in our values:

4²+7²=c²

16+49=c²

65=c²

To find c, we need to find the square root of 65.

√65

8.0622577...

Rounding to the nearest tenth is 8.1.

The distance between the two points is about 8.1.

I hope this was helpful, keep learning! :D

What is one of the best ways to stop procrastinating and study More

Answers

Answer:

use the two minute rule. you tell yourself you will study for two minutes or ten minutes and then if you're in a flow you keep going. hope this helps :)

Pls Solve
4x+16=x+166​

Answers

Answer:

50

Step-by-step explanation:

4x+16=x+166

-x        -x

3x+16=166

    -16  -16

       3x=150

     /3     /3

       x=50

Answer :

50

Step-by-step explanation:

4x + 16 = x + 166

4x - x = 166 - 16 (Subsituation )

3x = 150

x = 150 / 3

x = 50 !

The difference of -13 and 8 multiplied by the square of 4

Answers

The difference of -13 and 8 multiplied by the square of 4 is :

Hope it helps

12 less than 10 times a number x

Answers

Step-by-step explanation:

10x-12 is the equation form

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