What is the value of x?

What Is The Value Of X?

Answers

Answer 1

Answer:

x=21

Step-by-step explanation:

Hello There!

In order to find the value of x we need to find the value of y

The angle labeled y and the right angle are vertical angles with the angle labeled 5y +10 therefore they are congruent

so y+90=5y+10

step 1 subtract y from each side

5y-y=4y

now we have

90=4y+10

step 2 subtract each side by 10

90-10=80

now we have

80=4y

step 3 divide each side by 4

80/4=20

so y =20

now we plug in y to (5y+10)

5x20=100

100+10=110

So now we can find x

The angle labeled 3x+7 is supplementary with the angle that is equal to 110

meaning that the sum of the two angles equal 180

so 180 = 3x+110+7

step 1 combine like terms

110+117

now we have

180=3x+117

step 2 subtract each side by 117

180-117=63

now we have 3x=63

step 3 divide each side by 3

63/3=21

so we can conclude that x = 21

Answer 2

Answer:

x = 21°

Step-by-step explanation:

y = 180° - 90° - (3x+7)°

y = 83° - 3x

(5y + 10) and (3x + 7) are supplementary angles (their sum is 180°) so:

(5y + 10) + (3x + 7) = 180°

reduce:

5y + 3x = 163°

substitute for y:

5(83° - 3x) + 3x = 163°

415° - 15x + 3x = 163°

reduce:

-12x = -252

divide both sides by -12:

x = 21°

y = 83° - 3(21°) = 20°

check:

(5(20) + 10) + (3(21) + 7) = 180°

110° + 70° = 180°


Related Questions

Which postulate, if any can be used to prove the triangles congruent

Answers

Answer:

sss

Step-by-step explanation:

besties i need help again btw it's not -48 hdhd

Answers

Step-by-step explanation:

-6 / 24/3

= -6 x 3/24

= -18/24

= -6/8

= -3/4

Which unit rate is equivalent to 13 miles per gallon? Pls help!!!

Answers

Answer:

twenty-six miles over two gallons because the proportion for the original 13 miles to one gallon would be written 13/1 and, doing the same thing to the top and bottom, i multiplied by 2 and got 26/2

twenty six miles over two gallons

Which of these linear equations best describes the given model? Choose 1 answer: Choose 1 answer: (Choice A) A \hat y=10x+20 y ^ ​ =10x+20y, with, hat, on top, equals, 10, x, plus, 20 (Choice B, Checked) B \hat y=20x+20 y ^ ​ =20x+20y, with, hat, on top, equals, 20, x, plus, 20 (Choice C) C \hat y=-20x+20 y ^ ​ =−20x+20y, with, hat, on top, equals, minus, 20, x, plus, 20 Based on this equation, estimate the score for a student that spent 3.83.83, point, 8 hours studying.

Answers

Question:

Which of these linear equations best describes the given model? Choose 1 answer:

Choose 1 answer:

A [tex]\hat y=10x+20[/tex]

B [tex]\hat y=20x+20[/tex]

C [tex]\hat y=-20x+20[/tex]

Based on this equation, estimate the score for a student that spent 3.8 hours studying.

Answer:

[tex]\hat y = 20x +20[/tex]

Score of 96 for studying 3.8 hours

Step-by-step explanation:

Given

See attachment for graph

From the straight line of trend, we have:

[tex](x_1,y_1) = (0,20)[/tex]

[tex](x_2,y_2) = (2,60)[/tex]

The slope (m) is:

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

[tex]m = \frac{60 - 20}{2 - 0}[/tex]

[tex]m = \frac{40}{2}[/tex]

[tex]m = 20[/tex]

The equation is calculated using:

[tex]\hat y = m(x - x_1) + y_1[/tex]

This gives:

[tex]\hat y = 20(x - 0) +20[/tex]

[tex]\hat y = 20(x ) +20[/tex]

[tex]\hat y = 20x +20[/tex]

Solving (b): When study hours is 3.8

This means that [tex]x= 3.8[/tex]

So:

[tex]\hat y = 20x +20[/tex]

[tex]\hat y = 20 * 3.8 + 20[/tex]

[tex]\hat y = 96[/tex]

A meteorologist reports that the chance of snow is less than 30%. The correct inequality to represent this comparison is s < 30. The variable s represents the likelihood of snow. Which numbers are solutions of the inequality? Choose all that apply. 20% 35% 17% 30% 29 and one-half percent% 1.5%

Answers

Answer: 20%, 17%, 29%, 1.5%

Step-by-step explanation:

Given

The likelihood of rain is given by the inequality

[tex]s<30[/tex] i.e. solution to this inequality is less than 30%

So, among the given values, the following are the solution

20%, 17%, 29%, 1.5%

These values are less than 30%; therefore, they are the solution

Answer:

20%, 17%, 29 1/2%, and 1.5%.

Step-by-step explanation:

good luck on your other work

Which answer choice correctly represents an algebraic expression for the quotient of a number and 9?
A. 9j
B. j ÷ 9
C. j – 9
D. 9 + j

Answers

B) j ÷ 9
Step-by-step explanation:
The word quotient means division.
A) is multiplication
B) is division so it is the right answer
C) is subtraction
D) is addition
B. Because u divide then multiply

Given the 2 similar triangles, what is the length of LK?

Answers

Answer:

7.5

Step-by-step explanation:

the term similar triangles means they have the same angles and the same scale factor so if we look at rs and jl you see they are 12 and 6. thats is a scale factor of .5 so you take 15 and multiply it by .5 or you can divide it by 2.

What is -6x+4(-2x+8y)-2y+4

Answers

Answer:

-14x + 30y + 4

Step-by-step explanation:

-6x + 4(-2x + 8y) - 2y + 4

take out the parentheses

4(-2x + 8y) = -8x + 32y

-6x - 8x + 32y - 2y + 4

solve for the x's then y's

-6x - 8x = -14x

32y - 2y = 30y

you are done

-14x + 30y + 4

What is the total area of the shape?
124 inches squared
100 inches squared
21 inches squared
39 inches squared

Answers

Answer:

51 in.

Step-by-step explanation:

:]

Answer:

124 inches square

Step-by-step explanation:

First area of that rectangle 20×5 = l×b = 100

Second area of that triangle 6×8×1/2 = 24

Third add both rectangle+triangle=100+24=124

work out 11. 28- 2.843​

Answers

Answer:

25.157

Step-by-step explanation:

28-2.843=25.157

A giraffe is 5 meters 20 centimeters tall. An elephant is 1 meter 77 centimeters shorter than the giraffe. A rhinoceros is 1 meter 58 centimeters shorter than the elephant. How tall is the rhinoceros?

Answers

Answer:1 meter and 58 centimeters

The use of the internet is constantly growing. How many randomly selected adults must be surveyed to estimate the percentage of adults in the United States who now use the internet? Assume we want to be 99% confident that the sample percentage is within 2 percentage points of the true population percentage.
a) Assume that nothing is known about the percentage of adults using the internet.






b) Assume it was estimated that 72% of adults in the United States use the internet.

Answers

Out of those 2 answers I believe your answer would be B only because 81% of Americans in the us have a phone and 35% of people in the us check there phone more than 50 times per day

A point is chosen at random on AK. What is the probability that the point will be on overline CD ? Don't forget to reduce.

Answers

Answer:

[tex]P(CD) = \frac{1}{10}[/tex]

Step-by-step explanation:

Given

[tex]AK = 10[/tex]

See attachment for line AK

Required

Probability of choosing CD

From the attachment:

[tex]CD=D-C[/tex]

[tex]CD=3 - 2[/tex]

[tex]CD = 1[/tex]

So:

[tex]P(CD) = \frac{CD}{AK}[/tex]

[tex]P(CD) = \frac{1}{10}[/tex]

The quotient of 50 and 5 subtracted from 20 (move numbers and symbols to the line to show the phrase as a numerical expression)

Answers

The value of the quotient of 50 and 5 subtracted from 20 that can be given as 10.

What is subtraction?

It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.

Firstly, we have the quotient of 50 and 5. This can be written as

[tex]\dfrac{50}{5}[/tex]

And we know that this can be written as 10.

Now we subtract it from 20. Then we have the number 20 and we subtract 10 from it. Then it can be written as

20 - 10

On subtracting, we have

20 - 10 = 10.

More about the subtraction link is given below.

https://brainly.com/question/4319655

Triangle JKL is similar to triangle MNO. Find the measure of side OM. Round your answer to the nearest tenth if necessary.

Answers

Answer:43.1

Step-by-step explanation:

Answer:

x=18.5

Step-by-step explanation:

\frac{\color{steelblue}{KL}}{\color{indianred}{LJ}}=

LJ

KL

=

\,\,\frac{\color{steelblue}{NO}}{\color{indianred}{OM}}

OM

NO

\frac{Blue}{Red}=\frac{Blue}{Red}

Red

Blue

=

Red

Blue

\frac{58}{43}=

43

58

=

\,\,\frac{25}{x}

x

25

Substitute

58\cdot x=

58⋅x=

\,\,25\cdot 43

25⋅43

Cross Multiply

58x=

58x=

\,\,1075

1075

Multiply

x=

x=

\,\,18.534482...

18.534482...

Divide

x\approx

x≈

\,\,18.5

18.5

Find the equation of the line.

Answers

Answer:

Step-by-step explanation:

A line with a slope of 1 passes through the point (8,6). What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y=x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-6=1(x-8)

y-6=1x-8

y=1x-8+6

y=1x-2

Three cities form a triangle. Tom measures the distances between the three cities on a map. The distances between the three cities are 45 miles, 56 miles, and 72 miles. Is the triangle formed by the three cities a right triangle?

Answers

Answer:

Nope. Does not satisfy pythagoras theorem

Step-by-step explanation:

72 squared does nit equal 45 squared plus 56 squared


1
-0.4 3 0 8 I have to show all my work this question

Answers

Answer:

0.5462

Step-by-step explanation:

Cole wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 4 5 6 ft by 2 1 3 ft. Find the area the carpet needs to cover. Solve on paper. Then check your work on Zearn. 711 1 3 tiled floor The carpet needs to cover ft2.

Answers

Answer:

[tex]Area = 49\frac{25}{36}[/tex]

Step-by-step explanation:

Given

Tile

[tex]Length = 4\frac{5}{6}[/tex]

[tex]Width = 2\frac{1}{3}[/tex]

See attachment for dimension of the floor

Required

Determine the area covered by the carpet

From the attachment, the dimension of the floor is:

[tex]Length = 12\frac{1}{4}[/tex]

[tex]Width = 5[/tex]

Calculate Area

[tex]Area = Length * Width[/tex]

[tex]Area = 12\frac{1}{4} * 5[/tex]

[tex]Area = 61\frac{1}{4}[/tex]

The area of the tiles is:

[tex]Area = 4\frac{5}{6} * 2\frac{1}{3}[/tex]

[tex]Area = \frac{29}{6} * \frac{7}{3}[/tex]

[tex]Area = \frac{203}{18}[/tex]

[tex]Area = 11\frac{5}{18}[/tex]

So, the carpet area is:

[tex]Area = Floor\ Area - Tile\ Area[/tex]

[tex]Area = 61\frac{1}{4} - 11\frac{5}{18}[/tex]

To improper number

[tex]Area = \frac{245}{4} - \frac{208}{18}[/tex]

Take LCM

[tex]Area = \frac{2205 - 416}{36}[/tex]

[tex]Area = \frac{1789}{36}[/tex]

[tex]Area = 49\frac{25}{36}[/tex]

what the answer to this math problem

Answers

The answer is 4.4. C.

(3+7i)+(-5+2i)-(-7+6i)

Answers

i believe that the answer to your question is 5 + 3 i?

Find the area of four walls of a room (Assume that there are no doors or windows) if its length 12 m., breadth 10 m. and height 7.5 m. ?​

Answers

Answer:

Refer to the attached file

Hope it helps..

Have a great day : )

What is the distance between the points (-4,5) and (8,9)​

Answers

I hope this is what you were looking for.

1,5,9,13. what's the 8th 13th 17th and 23rd term​

Answers

Answer:

8th 29

13th 53

17th 69

23rd 91

what is the diameter of the circle: (x-4)^2+(y-2)^2=9 ?

Answers

Answer:

The diameter is 6

Step-by-step explanation:

the answer is 6.....

5) Choose the graph which represents the solution to the inequality:
5<-5+2x

Answers

Where is the Graph.

Step-by-step explanation:

LOL

I need help on this please!

Answers

Answer:

H, G, F, E

Step-by-step explanation:

If it isn't it's G, H, F, E

Hope this helps

A gallon of paint covers 20 ft of surface area. How many revolutions can an 8 in, wide paint roller with a diameter of 3 in make before using up a 5.
gal can of paint?
A about 127
B about 382
C about 600
D about 191

Answers

Answer:

D. about 191 ayan ang answer d.

Pls help it’s due soon and I’m failing :(

Answers

Answer:

Slope is 2/3

Y-intercept is (0, 0)

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = 2/3x

Answer:

Slope is 2/3

y intercept is 0

Step-by-step explanation:

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