Find the value of each variable and the measure of each labeled angle (2x) (3x-42)

Find The Value Of Each Variable And The Measure Of Each Labeled Angle (2x) (3x-42)

Answers

Answer 1

Step-by-step explanation:

Head opposite angles

2x= 3x-42

x= 42°

the angles are 84°

Answer 2

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x is 42 and the measure of the two given angles is 84° each.

What are vertical angles?

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.

The two of the given angles are vertically opposite angles, therefore, the measure of the two given angles will be the same.

(2x)° = (3x - 42)°

2x = 3x - 42

Subtract 2x from both sides of the equation and add 42 to both sides of the equation,

2x - 2x + 42 = 3x - 42 - 2x + 42

42 = 3x - 2x - 42 + 42

42 = x

Therefore, the value of x is 42. Now, the measure of each angle can be written as,

(2x)° = 2(42) = 84°

(3x - 42)° = 3(42) - 42 = 84°

Hence, the value of x is 42 and the measure of the two given angles is 84° each.

Learn more about Vertical Angles here:

https://brainly.com/question/24460838

#SPJ2


Related Questions

Expand and simplify
(x – 3)(2x - 2)

Answers

Answer:

2x^2 - 8x + 6

Step-by-step explanation:

2x*x+(-3x*2x)+(x*(-2))+6=

2x^2-8x+6

A cylinder has volume 78 cm3. What is the volume of a cone with the same radius and height?

Answers

Answer:

Volume of cylinder V= bh= 78 cm^3, where b is area of base(circle). Then volume of cone = 1/3bh =1/3*78 = 26 cm^3

Answer:

26cm3

Step-by-step explanation:

A broken rectangular-shaped window is being replaced. It measures 24 inches by 182
inches. How many square inches of glass are
needed to repair the window?

Answers

Answer: 432 or 4368

Step-by-step explanation:

multiply base and height this case 24,18. 24x18=432 or 182 x 24=4368

if you using 24 x 18 =432

if you using 182x24=4368

If we reflect the point (-2,3) over the line y=1, what is the new point?

Answers

Answer:

(-2,-1)

Step-by-step explanation:

Since this is a reflection over the y-axis you'll keep the x-coordinate Making it (-2,?) and then since 3 is two away from y=1 on the plane you'd just count downwards two more giving you -1, so the answer is (-2,-1)

Joseph built a model of a pyramid where
the base of the pyramid is a square.
If
the base has an area of 49 cm2,
what is the side length of the
base?

Answers

Answer:

[tex]7[/tex]

Step-by-step explanation:

[tex] \sqrt{49} = 7[/tex]

Solve
n + 11 = -2
How do i solve this

Answers

n+11=-2
-11 -11
n=-13
i think

A rectangular prism has a volume of 360 cubic inches. If the area of the base is 40, what is the height of the figure?
a.9in
b.320in
c.12in
d.400in

Answers

Answer:

a. 9in

Step-by-step explanation:

PLS MARK ME BRAINLIEST!!!!!!!

There are 60 people at a game fair, waiting in line to ride an attraction. Each car has a limit of 10 people. Write the mathematical operation that can be used to find the number of cars to hold 60 people.

Answers

I need help on my question and nobody is helping you please at least somebody help me with my question I need someone to answer my question

Please help I need help help help help

Answers

Answer: 4 bags

Step-by-step explanation: Good luck! :D

Answer:

the answer is 4 i think d ont know

Step-by-step explanation:

What is the answer for this and how would I do the work.

Answers

Step-by-step explanation:

......... Understood.................

I WILL GIVE BRIANLIEST!!!!!!!!

Please, I really need to get these right because I’m redoing it for full credit and I have an F in math, help me with as many as you can but don’t guess because I really need this. Even if you see other people’s answers, please give me your feedback still.

Answers

Answer:

a

Step-by-step explanation:

a

Please help, I can’t think today
-(4-x) = ?

Answers

Answer:

simplified equation is -4+x

x=4

Step-by-step explanation:

-4+x=0

+4

x=4

Answer:

x-4

Step-by-step explanation:

1. Rearrange terms : −(4−x)  −(−+4)  Then Distribute the negative: −(−+4)   1−4

Multiply by 1: 1−4   so x-4  

Hope this helps !

A line has a slope of 5 and y-intercept of -2. What is its equation in slope-intercept from? Write your answer using interfere, proper fraction and improper fractions in simplest form.
Y=_x - _

Answers

Answer:

y=5x-2

Step-by-step explanation:

What is the image of (0, 6) after a dilation by a scale factor of 1/3 centered at the origin ?

Answers

I think it’s (0,2) because it’s at the origin and that’s 1/3 of 6

Answer:

0,4

Step-by-step explanation:

did on delta math rn and got it right. basically just divide 0,12 by 1/3

ex: 0 by 1/3 and 12 by 1/3

12/3 is 4 so 0,4

Help me plssssssssssssss

Answers

Answer:

2÷ 1/3 =6

3 ÷1/2=6

4÷2/3=6

4 ÷1/2=8

12÷3/2=8

Step-by-step explanation:

Hope this helps!

PLEASE HELP!!!
Write a simplified equation to solve for X.

Using the equation, solve for x

Answers

Answer:

x = 40

Step-by-step explanation:

x + 100 +  x = 180 {Straight line angles}

2x   + 100 = 180      {subtract 100 from both sides}

         2x = 180 - 100

         2x = 80      {Divide both sides by 2)

           x = 80/2

          x = 40

Answer:

x=40

Step-by-step explanation:

2x+100=180

2x=180-100

2x=80

x=40

find the areas of the following parallelograms. pleasee helppp!​

Answers

Answer:

Below in bold.

Step-by-step explanation:

Area = altitude * base

3.   6.2 * 6

=  37.2 cm^2.

4.  0.12 * 0.24

= 0.0288 m^2.

5. 32 * 0.4

= 12.8 m^2.

A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied
at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The
test results (expressed as a percent) for the two groups are shown below.
Studled: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84
Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
Which of the following statements are true?
There is no mode of the group that studied.
In general, those students that studied scored much higher than those students that did not study.
The mean of the group that studied is over 15 percentage points higher than the mean of the group that did not study.
The median of the group that studied is over 95.
The median of the group that did not study is less than 80

Answers

Answer:

The median of the group that did not study is less than 80

Step-by-step explanation:

The median of the group that did not study is 79.5


3
7
11
15
19
Find the 9th term in the sequence.

Answers

3
7
11
15
19
23
27
31
35
39
43
47
51

The Chambers family has a net monthly income of $6,500.

A circle graph titled Chambers Family Budget. Housing is 25 percent, Food is 20 percent, Savings is 7 percent, Transportation is 12 percent, medical is 10 percent, clothing is 18 percent, emergency fund is 8 percent.

If the family decides to reduce its clothing budget by $200 a month, how much will the new clothing budget be? Round to the nearest dollar.
$161
$853
$970
$1,170
Mark this and return

Answers

The new clothing budget is $161.

The original price is 361. If you reduce that by 200, it is 161.

Help help help help help

Answers

Answer:

the pythagoream theorem, a^2+b^2=c^2

1. 13in.

2. 31.6 yd.

3. 16.1 m.

Step-by-step explanation:

c is the hypotonus (the diagonal line on a right triangle)

if you are trying to find c, you square the two sides that are given and then add them up.

For example number 1:

So 5x5=25   and    12x12=144

add those two values together, 25+144=169

the last step is to find the square root of that last sum (169)

√169 = 13.

we need help with this!

Answers

Answer:

H

Step-by-step explanation:

The answer is H


EXPLANATION

Please Help I will give 30 Points

Answers

Answer:

EC = 8/9 ft

Step-by-step explanation:

ΔADE ≈ ΔABC

set up a proportion based on corresponding sides

AD/AE = AB/AC

9/4 = 11/(4 + EC)

9(4 + EC) = 44

36 + 9EC = 44

9EC = 8

EC = 8/9

Solve the inequality 3(x - 2) > 15

Answers

Answer:

x > 7

Step-by-step explanation:

i dont know if this is right but i think so

The solution is x > 7

The value of x from the inequality equation 3 ( x - 2 ) > 15 is x > 7

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

3 ( x - 2 ) > 15   be equation (1)

On simplifying the equation , we get

3x - 3 ( 2 ) > 15

3x - 6 > 15

Adding 6 on both sides of the inequality equation , we get

3x > 21

Divide by 3 on both sides of the inequality equation , we get

x > 21/3

x > 7

Therefore , the value of x is greater than 7

Hence , the inequality equation is x > 7

To learn more about inequality equation click :

https://brainly.com/question/11897796

#SPJ2

"A cylindrical container has a radius of 25 inches and a height of 31 inches. What is the volume of
the container?
Volume =

Answers

Use the formula:

Radio= r, Height= h

V= 3.14xrx2h

r =25, h=31

V= 3.14 x 25 x 2 (31) =. 4867

V= 4867 cubic inches

Step-by-step explanation:

Solve for x

x = ____

30
45
22.5​

Answers

Answer:

45

Step-by-step explanation:

x+3x+90=180

4x=180

X=45

You are building a door frame. The two sides are parallel and the top and bottom are also parallel. Which additional statement(s) give enough information to conclude that the door frame forms a rectangle?

Answers

Answer:

you would take away the bottom

Step-by-step explanation:

what is the solution to 2x+10=28​

Answers

Answer:

x=9

Step-by-step explanation:

2x + 10 =28 <---- subtract by 10

2x = 18          < divide by 2

x = 9

Solve the equation 1/x + 1/3x =4 leave your answer as a fraction in its simplest form




Answers

Answer: x = 0.3

Step-by-step explanation:

The required solution of a given equation would be x = 1/3  as a fraction.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

What is the fraction?

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

We have been given the equation as

⇒ 1/x + 1/3x = 4

Take the LCM in the above equation

⇒ (3 + 1)/3x = 4

⇒ (4)/3x = 4

Rearrange the term of variable x, and we get

⇒ (4)/(4)(3) = x

⇒ 1/3 = x

⇒ x = 1/3

Therefore, the required solution of a given equation would be x = 1/3  as a fraction.

Learn more about the equation here:

brainly.com/question/13947055

#SPJ2

b.
X = 4y + 3
2x - 4y = -10

Answers

Answer:

[tex]x = - 13 \: \: and \: \: y = - 4[/tex]

Step-by-step explanation:

[tex]x = 4y + 3......(1) \\ 2x - 4y = - 10.....(2) \\ \\ \\ x - 4y = 3......(1) \\ 2x - 4y = - 10...(2) \\ - x = 13 \\ x = - 13 \\ from(1) \\ x - 4y = 3 \\ - 13 - 4y = 3 \\ - 4y = 16 \\ y = - 4 \\ [/tex]

Other Questions
5. A rectangle with length 8 cm and width 5 cm is dilated by a scale factor of 3. What are the perimeter and area of the image? Match the reasons with the statements in the proof. Which of these BEST describes the term Huguenot A)a Catholic in ItalyB)a Protestant in FranceProtestant in EnglandD)a Presbyterian in Scotland what is the answer please help me The radio is playing at the front of the room. How does the sound get from the speakers to your ears? A: A breeze blows from the speakers and pushes the sound along. B: Vibrations are sent through the air to your ears. C: The sound bounces off a satellite and back to Earth. D: The speakers produce invisible laser beams that carry sound. Brainliest! Social Studies again! Decide if the following sentence is grammatically CORRECT or INCORRECT.Rene est une belle pet te vendeuse.Correct or Incorrect?? Can someone please help me How do the properties of water help it to shape the Earth? PLEASE HURRY!!!!!Where on the membrane does an active transport pump work An effective treatment for some cancerous tumors involves irradiation with "fast" neutrons. The neutrons from one treatment source have an average velocity of 3.5107 m/s. If the velocities of individual neutrons are known to within 2.0% of this value, what is the uncertainty in the position of one of them? 7n +2 (2n +7) pls help I will give you 15 points There were 220 people who voted at the 6th grade meeting. Sixty percent of the voters are in favor of changing the school mascot. How many people are against changing the mascot? Use numbers and words to explain your answer. The planet Mercury travels around the Sun with a mean orbital radius of 5.8x100 m. The mass of the Sun is 1.99x1030 kg. Use Newton's version of Kepler's third law to determine how long it takes Mercury to orbit the Sun. Give your answer in seconds. Match each movement with the correct label. flexionextensionadductionabduction elevationdepressionmedial rotationlateral rotation 1. Emily bicycle wheel had a diameter of 18 inches.If the wheel makes 10 revolutions, approximately how far will thebicycle have to travel? Round your answer correct to the nearestwhole number. Can somebody help me please Find the value of each variable. Depenendent EventA box contains 6 yellow, 2 black and 4 green pencils. What is the probability of pulling two greenpencils (without replacement)? Write your answer as a decimal. what is the formula mass of MgO (how much does one mole of it weigh)