Find the value of .

Find The Value Of .

Answers

Answer 1

Answer: 25

Step-by-step explanation: In this problem, we're given a diagram and were asked to find the value of x.

Since the two lines in the figure intersect, we know that they form vertical angles and remember that vertical angles are always congruent, or of equal measure.

Therefore, since we know that one angle measures 75° and the other angles measures 3x°, we can setup the equation 75 = 3x.

To get x by itself since 3 is being multiplied by x,

divide both sides of the equation by 3.

On the left, 75 divided by 3 is 25

and on the right, the 3's cancel.

So the value of x in the diagram shown is 25.


Related Questions

15. Find the largest number which divides 70
and 125 leaving remainders 5 and 8,
respectively ​

Answers

Answer:

13

Step-by-step explanation:

70 - 5 = 65

125 - 8 = 117

Find the Greatest Common Divisor of 65 & 117

65 = 5 * 13

117 = 3 * 3 * 13

GCD = 13

13 is the largest number that divides 70 & 125 and leaves remainders 5 and 8 respectively

whats the product for (2z-3)^3

Answers

Answer:

8z^3-36z^2+54z-27

Step-by-step explanation:

(2z-3)^3

(2z)^3*(2z)^2*3+3*2z*3^2-3^3

8z^3-3*4z^2*3+3*2z*9-27

8z^3-36z^2+54z-27

Answer:

[tex]8z^3-36z^2+54z-27[/tex]

Step-by-step explanation:

[tex](2z-3)^3\\(2z-3)(4z^2-12z+9)\\2z(4z^2-12z+9)-3(4z^2-12z+9)\\8z^3-24z^2+18z-12z^2+36z-27\\8z^3-36z^2+54z-27[/tex]

Find the value of the variable in each pair of similar figures. Round the answers to the nearest tenth. please help!!!!​

Answers

Answer:

x = 18 units

w = 20 units

n = 6.9 units

Step-by-step explanation:

Given: Similar figures

To find: value of the variable in each pair of similar figures

Solution:

Figures are said to be similar if they have same shape and not necessarily same size.

Corresponding sides of similar figures are always proportional.

[tex]ABCD\sim JKLM\\\frac{AB}{JK}=\frac{AD}{JM}\\\frac{12}{x}=\frac{6}{9}\\x=\frac{12\times 3}{6}=18\,\,units[/tex]

[tex]\Delta NOP\sim \Delta XYZ\\\frac{XZ}{NP}=\frac{YZ}{OP}\\\frac{12}{3}=\frac{w}{5}\\w=\frac{12\times 5}{3}=20\,\,units[/tex]

[tex]\Delta GHI\sim \Delta PQR\\\frac{GI}{PR}=\frac{GH}{PQ}\\\frac{3}{n}=\frac{7}{16}\\n=\frac{3\times 16}{7}=\frac{48}{7}=6.9\,\,units[/tex]

V2 is equal to + 2 a s derive

Answers

Answer:v² =u²+2aaS​

                                                                                                                                 

Mr. Blackburn is buying new carpet for his family room and hallway. The floor plan is shown below.
Pls help me ASAP

Answers

Answer:

Step-by-step explanation:

3.2 times 1.5  plus 6 times4.2= 30 meters of carpet.

Answer:

He needs 23.7 of carpet

Step-by-step explanation:

multiply 4.2 and 6 which is 25.2. Then subtract 1.5 from 25.2 which is 23.7.

The simplified form of 3root45 - root 125 + root 500

Answers

Answer:

the answer and explanation is in the picture

please like and Mark as brainliest

hope this helps

1. Find the volume of the rectangular prism.
4 ft
6 ft
8 ft

Answers

Answer:

192[tex]feet^3[/tex]

Step-by-step explanation:

The formula for the area of a rectangle is : [tex]length*width[/tex]

In order to work out the volume you would first need to work out the area. You can do this by multiplying the length of 6 by the height of 4, this gives you 24.

To workout the volume you would need to multiply the area of 24 by the width of 8, this gives you 192.

1) Multiply 6 by 4.

[tex]6*4=24[/tex]

2) Multiply 24 by 8.

[tex]24*8=192 feet^3[/tex]

The dimensions of a chocolate box are: height=x + 2 inches, length=2x+5 inches, and width=4x-1 inches. If the volume of the chocolate box is 605 cubic inches, what is the value of x?

Answers

I hope this helps you

Answer:

To begin to answer your question you would need to know that the formula for the volume of a rectangular prism is the following: [tex]V=lwh[/tex]. Now its just a manner of substitutions.

Step-by-step explanation:

[tex]V=605 \text{in}^3[/tex]

Then one can also state the following:

[tex]V=(x+2)(4x-1)(2x+5)[/tex]

Following up with this substitution:

[tex]605=(x+2)(4x-1)(2x+5)[/tex]

Proceeding with a FOIL procedure:

[tex]605=(4x^2+8x-x-2)(2x+5)[/tex]

[tex]605=8x^{3}+34x^{2}+31x-10[/tex]

[tex]0=8x^{3}+34x^{2}+31x-615[/tex]

Using PRZs:

[tex]PRZs=\frac{\text{Factors of Constant Term}}{\text{Factors of Highest Power}}=\frac{\pm 1,\pm 3, \pm 5, \pm 41, \pm 615}{\pm 1, \pm 2, \pm 4, \pm 8}[/tex]

By graphing it one can identify that 3 is a solution so plugging it in and using synthetic division.

[tex]\begin{array}{ccccc}3|& 8 & 34 & 31 & -615\\ \ \ |& & 24 & 174 & 615 \\ & 8 & 58 & 205 &0 \end{array}\\[/tex]

Giving the following the polynomial:

[tex]0=(x-3)(8x^2+58x+205)[/tex]

Now one can evaluate the discriminant of that quadratic:

[tex]58^2-4(8)(205)=-3196[/tex]

Because it is negative one knows that it produces imaginary solutions. Therefore the only real solution is [tex]x=3[/tex]. Therefore the dimension of the box is the following: [tex]5\text{in},11\text{in}, 11\text{in}[/tex]

3x+2y=12+y 4y-7x=10 solve

Answers

Answer:

x = 2 , y = 6

Step-by-step explanation:

Solve the following system:

{3 x + 2 y = y + 12 | (equation 1)

4 y - 7 x = 10 | (equation 2)

Express the system in standard form:

{3 x + y = 12 | (equation 1)

-(7 x) + 4 y = 10 | (equation 2)

Swap equation 1 with equation 2:

{-(7 x) + 4 y = 10 | (equation 1)

3 x + y = 12 | (equation 2)

Add 3/7 × (equation 1) to equation 2:

{-(7 x) + 4 y = 10 | (equation 1)

0 x+(19 y)/7 = 114/7 | (equation 2)

Multiply equation 2 by 7/19:

{-(7 x) + 4 y = 10 | (equation 1)

0 x+y = 6 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{-(7 x)+0 y = -14 | (equation 1)

0 x+y = 6 | (equation 2)

Divide equation 1 by -7:

{x+0 y = 2 | (equation 1)

0 x+y = 6 | (equation 2)

Collect results:

Answer:{x = 2 , y = 6

What is the area of sector​ GPH?

Answers

Answer:

Area of GPH = pi x 15^2 x 40/360 = 78.54 (yd2)

Hope this helps!

Answer:

78.5 yards²

Step-by-step explanation:

Area of a sector:

Theta/360 × pi × r²

40/360 × 3.14 × 15²

78.5 yd²

9. What is the volume of the given prism? Round the answer to the nearest tenth of a centimeter.
The figure is not drawn to scale.
8.8 cm
/
4.7 cm
13.1 cm
313.3 cm3
436.4 cm
541.8 cm3
681.5 cm3

Answers

Answer:

The answer is 541.8 cm³

Step-by-step explanation:

you just have to multiply the measures of each side:

(8.8)(4.7)(13.1) = 541.8

The area of a garden is 30 square feet. The perimeter is 26 feet. What are the measurements of each side?

Please help this question is fustrating

Answers

Answer: 3 feet by 10 feet rectangle

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

Explanation:

Assuming this garden is a rectangle, it has dimensions L and W which are the length and width respectively.

perimeter of rectangle = 2*(length+width)

P = 2*(L+W)

26 = 2(L+W) ... plug in given perimeter

26/2 = L+W .... divide both sides by 2

13 = L+W

13-W = L  .... isolate L by subtracting W from both sides

L = 13-W

------

Area of rectangle = Length*Width

A = L*W

A = (13-W)W .... replace L with 13-W

A = W(13-W)

A = 13W - W^2 ..... distribution

30 = 13W - W^2 .... plug in given area A = 30

W^2 - 13W + 30 = 0 ... get everything to one side

(W - 10)(W - 3) = 0 ...... factor

W-10 = 0 or W-3 = 0 ...... zero product property

W = 10 or W = 3

----------

If the width is W = 10, then

L = 13-W

L = 13-10

L = 3 is the length

Or if the width is W = 3, then

L = 13-W

L = 13-3

L = 10 is the length

Either way, this is a 3 ft by 10 ft rectangle

--------

Check:

Area = length*width = 10*3 = 30 square feet

perimeter = 2(length+width) = 2*(10+3) = 2*13 = 26 feet

or you could say

perimeter = L+W+L+W = 10+3+10+3 = 13+13 = 26 feet

we get the correct area and perimeter, so this confirms our answer.

Please help me I’m about to break down

Answers

Answer:

the answer would be <RSV &<TSV

Answer:

RSV and TSV

Step-by-step explanation:

Supplementary angles are those that add to 180 degrees

RSV and TSV form a straight line so they add to 180

They are complementary angles

− 5/6 ​x=−10/3 solve for X​

Answers

Answer:

X = 4

Step-by-step explanation:

-5/6x = -10/3

x = -10/3 * -6/5

x = 60/15

x = 4

Answer:

The result for this equation is [tex]x =4[/tex] .

Step-by-step explanation:

Solve the equation for [tex]x[/tex] :

[tex]-\frac{5}{6}x =-\frac{10}{3}[/tex]

[tex]\frac{-\frac{5}{6}x }{-\frac{5}{6} } =\frac{-\frac{10}{3} }{-\frac{5}{6} }[/tex]

[tex]x = 4[/tex]

So, the answer for this equation is [tex]x =4[/tex]  .

Write and solve an inequality to calculate the swimming rate of a manatee swims for 15 miles in 3 hours

Answers

Step-by-step explanation:

D= rt

Where D is distance r is rate and t is time

15 < r3

15/3 < r

5< r

The inequality is Rate > 15 / 3. And the swimming rate of a manatee swims for 15 miles in 3 hours will be 5 miles per hour.

What is the rate?

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The swimming rate of a manatee swims for 15 miles in 3 hours is given as,

Rate > 15 / 3

Rate > 5 miles per hour

The inequality is Rate > 15 / 3. And the swimming rate of a manatee swims for 15 miles in 3 hours will be 5 miles per hour.

More about the rate link is given below.

https://brainly.com/question/14731228

#SPJ2

Question 2 of 10
2 Points
What is the location of the point on the number line that is of the way from
A = 37 to B = 13?
A 19
B. 28
C. 31
D. 25

Answers

Answer:

31

Step-by-step explanation:

1
2
3..
4
5
6
8
9
10
Which set of data does not contain any outliers?
113, 115, 103, 154, 109, 111, 119
141, 151, 111, 142, 149, 140, 150
99, 103, 91, 104, 109, 107, 97
131, 135, 131, 99, 138, 136, 140

Answers

Answer:

99, 103, 91, 104, 109, 107, 97

Step-by-step explanation:

The bold is the outlier

113, 115, 103, 154, 109, 111, 119

141, 151, 111, 142, 149, 140, 150

131, 135, 131, 99, 138, 136, 140

Anyone else getting the nasty storms from Tropical Storm Arthur? (I live in Virginia Beach, VA so I am :/)

Answers

Answer:

No not yet. But Sumter County is supposed to get rain all week starting today. It's starting to thunder now.

Answer:

Oh yeah...

Step-by-step explanation:

Arthur is bullying my house.......

(Brainliest?)

PLEASE ANSWER THIS ASAP

Answers

Answer:

i really dont know

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The slope (rate of change) are 2/5 or .4 for both of them

13th term of 2, 10, 18, 26

Answers

Answer:

192

Step-by-step explanation:

Add 8 started from 2 and keep going till you hit 192.

Answer:

a1 = 2      d = 8

n = 13

an = a1 + d(n-1)

a(13) = 2 + 8(13-1)

2 + 8(12)

2 + 96 = 98

Step-by-step explanation:

1. identify the terms

2. write down the arithmetic sequence formula and then replace the letters with their values.

3. do parenthesis first, then multiply by d.

4. add them together to get the 13th term

what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fraction bar. Do not enter your answer as a decimal number or an equation. (-2, - 3) (-4, - 9)​

Answers

Answer:

The slope is 3

Step-by-step explanation:

The slope is 3 because when you set up the equation (-2,-3) is labeled as x1 and y1 and (-4,-9) is labeled as x2 and y2. When you set up the equation you get -9--3 / -4--2, which becomes -6/ -2, which then becomes -3/-3, which is really just 3. :)

The slope of the line given is 3.

What is a slope of a line?

Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.

Given is a line passing through points (-2, -3) (-4, -9)​, we need to find its slope,

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:-

y₂-y₁ / x₂-x₁

Here, (x₁, y₁) and (x₂, y₂)  are (-2, -3) (-4, -9)​

So, the slope is = -9+3 / -4+2 = -6 / -2 = 3

Hence, the slope of the line given is 3.

Learn more about slopes, click;

https://brainly.com/question/3605446

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Solve the right triangle. Round decimal answers to the nearest tenth.
С
12
B
9
A
AB=
m M I need help

Answers

Answer:

15

Step-by-step explanation:

Use the Pytago theorem.

AB^2=AC^2+BC^2

AB^2= 9^2 + 12^2

= 225

AB = [tex]\sqrt225}[/tex]

= 15

Unit 5. 4) Please help. Marcie purchases a helium tank that contains 7.9 cubic feet of helium. Marcie is making a balloon display that contains 15 spherical balloons with a one-foot diameter. Will the helium tank provide enough helium for the display? Why or why not?

Use 3.14 for π in your calculations. Round your answer to the nearest tenth if necessary.

Answers

Answer:

The correct answer is option c.

HELP ASAP!
Point A is located at (1, 4), and D is located at (-3, 6). Find the coordinates of the point that lies halfway between A and D. (5 points)

(3, 4)

(-3, 4)

(1, 5)

(-1, 5)

Answers

Answer:

I believe the answer is (-1,5)

Step-by-step explanation: because when you draw it out on a coordinate plain (-1,5) lies right in the middle of these two points.

Please answer me<br />bis two fifths of c.<br />4a = 30<br />Work out the ratio a:b:c<br />Give your answer in its simplest form where a, b and c are integers.​

Answers

b is two fifths of c, so we make this a ratio with c = 1.

The ratio of b:c is 2/5 : 1

We also have 4a = 3c, rewrite this ratio so c is 1 by dividing both sides by 4,

so we get the ratio of a to c as 3/4 : 1

Now we get the a:b:c ratio of 3/4 : 2/5 : 1 now we can change the fractions to whole numbers, first by multiplying the 3 numbers by 4 to get get rid of the denominator of 4 in a:

3 : 8/5 : 4

Now multiply the 3 numbers by 5 to remove the denominator  of 5 in b:

15 : 8 : 20

Now we can check using the equations:

b is 2/5 of c:  20 x 2/5 = 40/5 = 8 This is true.

4a = 3c: 4(15) = 3(20) = 60 = 60, this is also true.

The ratios is 15 : 8: 20

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Answers

Answer:

D

Step-by-step explanation:

see attachment

Which function is the result of vertically shrinking ƒ(x) = (x + 1)2 by a factor of 1∕6?
Question 6 options:

A) ƒ(x) = (6x + 1)2

B) ƒ(x) = (1∕6x + 1)2

C) ƒ(x) = 6(x + 1)2

D) ƒ(x) = 1∕6 (x + 1)2

Answers

Answer:

[tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking

Step-by-step explanation:

Vertical stretch or shrink

[tex]y=c \cdot f(x)[/tex]

a stretch by a factor of c if  c>1

a shrink by a factor of c if c<1

c is the factor

We are given that factor = 1/6 <1

So, Vertical shrink

So, [tex]y = \frac{1}{6} \cdot f(x)[/tex]

We are given that [tex]f(x) = (x + 1)^2[/tex]

So,[tex]y=\frac{1}{6}(x+1)^2[/tex]

Option D is true

Hence [tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking

Answer:

ƒ(x) = (1∕6x + 1)^2

Step-by-step explanation:


Which expressions are equivalent to
x+x+x+2?

Answers

Answer:

3x + 2

Step-by-step explanation:

x = 1x but leaving the x alone equals the exact thing.

If there are x + x + x, this means 3x since it is also

1x + 1x + 1x.

This is another expression for 3x + 2.

The anwser to this question is 3x+2

The amount of money 'y' made at a laundromat after 'x' months can be represented by the linear function: y = 8.50x - 5. After 2 months, the laundromat made 20 dollars, but the linear function predicted they would make 12 dollars. What is the residual value for this data?

Answers

Answer:

[tex] \hat y = 8.5*2 -5 = 12[/tex]

And the residual is defined as:

[tex] e_ i = y_i -\hat y_i [/tex]

And replacing we got:

[tex] e_i = 20-12 = 8[/tex]

Step-by-step explanation:

For this case we know that the amount of money 'y' made at a laundromat after 'x' months can be represented by the linear function:

[tex] y = 8.50 x -5[/tex]

And fter two months we know that the laundromat made 20 dollars. And if we use the linear function we got:

[tex] \hat y = 8.5*2 -5 = 12[/tex]

And the residual is defined as:

[tex] e_ i = y_i -\hat y_i [/tex]

And replacing we got:

[tex] e_i = 20-12 = 8[/tex]

can someone helpme please​

Answers

Answer: the first box is 1/5 since one of 5 squares are shaded.

The next box the answer is “there are 4 groups 1/5.

The next answer is 4/5

The last answer is 4/5

Step-by-step explanation:

Other Questions
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Determine the amount to report for the computer software costs in the December 31, 2022, balance sheet. Manuel had 7.8 grams of pepper. Then he used 0.7 grams of pepper to make some scrambled eggs.how much pepper does Manuel have left Solve for x 26.45 10.9314.2622.19 20.26 what causes chemical waste ? Cul es la razn ms probable de por qu Mara sabe que es casiCinco de Mayo?A Baila en el festival todos los aos.B) Ve el cartel en el parque.C) Se entero en la escuela. A particle is projected at an angle 60 degrees to the horizontal with a speed of 20m/s. (i) calculate total time of flight of the particle. (i) speed of the particle at its maximum height Which of the following best describes the total consumption of all fossil fuels in 2040 compared to the consumption of nuclear energy in 2040?A. Consumption of fossil fuels will be approximately 13 times greater than consumption of nuclear energy.B. 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