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.

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Related Questions

PLZZZ HELP I WILL GIVE BRIANLY
What is the equation of the additive relationship represented by this table?


Enter your answer by filling in the box using an integer.


x y
9 5
12 8

Answers

Answer:

x-4=y

Step-by-step explanation:

9-4=5

12-4=8

Answer:

9,5

step-by-step explanation:

Wesley drives 12 miles to work every day. During his drive to work he sees 18 billboards. Which ratio shows miles driven to billboards seen by Wesley?

Answers

Answer:

2:3

Step-by-step explanation:

divide both by 6.

A phone company offers two monthly plans. Plan A costs $8 plus an additional $0.09 for each minute of calls. plan B cost $16 plus an additional $0.07 for each minute of calls.

a. For what amount of calling do the two plans cost the same? minutes

b. What is the cost when the two plans cost the same? $​

Answers

Answer: 72

Plan A = 30 +0.15x

Plan B = 16 +0.20x

30+0.15x = 16+0.20x

subtract 16 from each side

14 +0.15x = 0.20x

subtract 0.15x from each side

14=0.05x

x = 14/0.05 = 280 minutes

280*0.15 = 42 +30 = $72

280 * 0.20 = 56 +16 = 72

280 minutes and cost $72 each

Step-by-step explanation:

9320 is what percent of 15821?

Answers

Answer:

9320 is 58.9090449% of 15,821

Step-by-step explanation:

sewing a border of ribbon onto her rectangular picnic blanket. The long side of the blanket is 70cm and the short side is 40cm. How much ribbon will she need?

Answers

Answer:

[tex]220[/tex] cm

Step-by-step explanation:

We need to find the perimeter of the rectangular blanket in this case because a border is being sewn onto the blanket. The perimeter of a rectangle can be calculated by multiplying the sum of the rectangle's length and width by 2. As an algebraic expression, that would be [tex]2(l+w)[/tex], where [tex]l[/tex] is the rectangle's length and [tex]w[/tex] is the rectangle's width. We are given that [tex]l=70[/tex] and [tex]w=40[/tex]. Therefore, [tex]2(70+40)=2*110=220[/tex] cm of ribbon will be needed. Hope this helps!

Would it be better to have a higher interest rate on a loan or on an investment? Explain.

Answers

Answer:

When a company borrows money it is better to have a low interest rate. The lower the interest rate, the less amount of money the company has to pay back as interest on the loan.

Step-by-step explanation:

Is it better to have a higher interest rate when a company borrows money or to have a lower interest rate?

earth takes 6 seconds to travel 114 miles around the sun. How fast does the earth travel around the sun in miles per second

Answers

Answer: 19

Step-by-Step explanation:

So I am assuming that you should divide 114 divided by 6 which will leave you with the answer of 19.

Which of the values in the set {1, 2, 3, 4} is a solution to the equation 3x + 3 = 15? (4 points) a 1 b 2 c 3 d 4

Answers

Answer:

3

Step-by-step explanation:

Answer: The answer is 4

Step-by-step explanation:
the x is equal to an exponent. Since 3x4 equals 12, and 12+3 equals 15

There of the ABCD are given. fine the coordinates of point D. A(3, 6) B(6,3) D(x, y)

Answers

Answer:

A. (3,2) . I recommend using desmos to find the coordinates

9514 1404 393

Answer:

  A.  (3, 2)

Step-by-step explanation:

The midpoints of the diagonals are the same point, so you have ...

  X = (A +C)/2 = (B +D)/2

  A +C = B +D . . . . . . . multiply by 2

  A +C -B = D . . . . . . . subtract B

The coordinates of D are ...

  D = (3, 6) +(6, 3) -(6, 7) = (3+6-6, 6+3-7)

  D = (3, 2)

PLEASE HELP ANSWER ASAP I WILL GIVE BRAINLIEST

Mr. Peery has saved $150 to buy an iPhone 12. With his cell phone plan he can buy a new iPhone 12 for $200. If he can only save $10 a week how many weeks will it take for him to get enough money to buy the phone?


Create an equation for the problem here. Don't put any spaces.



How many weeks will it take?

Answers

Answer:

Let number of weeks be x

10x = 200-150

x=50/10

x=5

Thus it would take him 5 weeks to buy himself a iPhone12

Hope it helps

A restaurant critic reviewed restaurants in Oxford and Fairview. In Oxford, the critic gave 18 negative reviews and 33 positive reviews. In Fairview, 5 of the reviews were negative and 11 were positive. In which city did the restaurant critic give a lower ratio of negative reviews to positive reviews?

Answers

Answer:

Fairview is lower.

Step-by-step explanation:

IXL

The required, city Fairview has a lower ratio of negative to positive reviews.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

here,
A restaurant critic reviewed restaurants in Oxford and Fairview.
In Oxford, the critic gave 18 negative reviews and 33 positive reviews.
ratio = 18 / 33 = 0.54

In Fairview, 5 of the reviews were negative and 11 were positive reviews.
Ratio = 5 / 11 = 0.45

Thus, the required, the city of Fairview has a lower ratio of negative to positive reviews.

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- 11 2/3 x (-4 1/5)=?

Answers

if you use photomath and show your question its easier but i got 49

Determine whether the graph represents a function. Explain.

Answers

Answer:

it does not represent a function

Step-by-step explanation:

it is not liner

Answer:yes

Step-by-step explanation:

each x value has one y value

10 5/12 - 7 7/12 plss​

Answers

your answer is: C 125/12

Answer:

The answer is 2 5/6

Step-by-step explanation:

10 5/12= 125/12

7 7/12= 91/12

125-91 is 34

34/12 = 2 10/12

simplify it

2 5/6

You invested $600 in a shark tank invention and received $180 in interest after four years. What had been the interest rate? Do NOT round your answer!

Answers

interest of $45 per year

I NEED HELP AGAIN PLEASE HELP MEEEE

Answers

Answer:

The answer for this proportion is 6/10 ft

Find the equation of the line with gradient 3 passing through point (2,5)

Answers

Given:

A line passing through point (2,5) with gradient 3.

To find:

The equation of the line.

Solution:

Point slope form: if a line passes through the point [tex](x_1,y_1)[/tex] and m is the slope or gradient, then the equation of line is

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

[tex]y-5=3(x-2)[/tex]

[tex]y-5=3(x)+3(-2)[/tex]

[tex]y-5=3x-6[/tex]

Adding 5 on both sides, we get

[tex]y=3x-6+5[/tex]

[tex]y=3x-1[/tex]

Therefore, the equation of the line is [tex]y=3x-1[/tex].

Which statement best describes the relationship between the lengths of the sides of the triangle shown below?

A. r squared is equal to t squared minus s squared.
B. The square root of t is equal to r plus s.
C. s squared equals t squared plus r.
D. s plus t is equal to r squared.

Answers

Answer:

the answer is c

Step-by-step explanation:

The relationship between the lengths of the sides of the triangle is as follows: r² =  t² - s².

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The right triangle is given in the question, as shown

As per the given figure, the right triangle has

The hypotenuse = t

Let, perpendicular = r and base = s

According to Pythagoras's theorem,

In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

So, perpendicular²+base²=hypotenuse²

⇒ r² + s² =  t²

This can be rewritten as

⇒ r² =  t² - s²

Hence, the correct answer would be an option (A).

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Surface area of a cushion

Answers

Answer:

need measurments

Step-by-step explanation:

¿El 48 es multiplo de 2? _________ ¿por que?
ayuda es para hoy ​

Answers

Answer:

si 48 es múltiplo de 2 ya que al multiplicar 2. 24 da 48

Xavier fills a rectangular prism with 12-centimeter cubes. The base of the prism measures 5 centimeters by 3 centimeters, and the height of the prism is 6 centimeters.
Which statement is TRUE?

A: Xavier will use 90 cubes to fill the prism
B: Xavier will use 60 cubes on the bottom layer
C: It will take six layers of cubes to fill the prism
D: The prism will have a perimeter of 15 centimeters around the base

Answers

Answer:

I tried A.

Step-by-step explanation:

It's all like a fraction & multiplication type answer im if wrong correct me!

Answer:

i feel like it would be B

Step-by-step explanation:

Hopefully this helps!!!

Please help me. Can you help me do A,B,C,D,E, and F please

Answers

Answer:

KGHKWGJRWGJHWG

Step-by-step explanation:

Layla was out at a restaurant for dinner when the bill came. Her dinner came to $9. After adding in a tip, Before tax, she paid $10.80. Find the percent tip.

Answers

Answer: 12%

Step-by-step explanation:

What is the equation of the additive relationship represented by this table?

Enter your answer by filling in the box using an integer.


x y
9 5
12 8

Answers

Answer:

-1

Step-by-step explanation: hope this helps

If you earn $10 per hour babysitting, and you work 5 hours per week, how much money will you earn in 4 weeks?

Answers

Answer:

$200

Step-by-step explanation:

1 week: $50

1 week ($50) x 4 = $200

Answer: You will earn $200 in the span of 4 weeks.

Step-by-step explanation:

• First, multiply the pay rate ($10 per hour) by the number of hours (5), yielding $50 a week.

• Multiply the total pay in the span of 1 week by the number of weeks (4 in this case), resulting in $200 in the span of 4 weeks.

GEOMETRY The sum of the measures of the angles of a trapezoid is 360 degrees. Find the missing measure

Answers

Answer:

70

Step-by-step explanation:

Add them all first

100+110+80=290

Then subtract

360-290

Scott can you help I am confused... Naviah buys at least 8 but no more than 12 gallons of gas each week. The price of gas ranged from 2.25 to 2.50 per gallon each week. Write a compound inequality to model all of the possibilities amount of money (m) Naviah spends on gas each week.

Answers

Answer:

Amount of money Naviah spends each week  is ranged from 18 to 30

( 18 ≤ m ≤ 30 )

Step-by-step explanation:

Let Naviah buys gas each week = x gallons

As given,

Naviah buys at least 8 but no more than 12 gallons of gas each week.

⇒8 ≤ x ≤ 12

Now,

Let the price of gas each week  = p

As given,

The price of gas ranged from 2.25 to 2.50 per gallon each week.

⇒2.25 ≤ y ≤ 2.50

Now,

Amount of money spend (m) = (Total gas buy)(Price of gas)

                                              = xy

⇒ m = xy

Now,

we have

8 ≤ x ≤ 12 and 2.25 ≤ y ≤ 2.50

Multiply both the inequality , we get

8×2.25 ≤ x.y ≤ 12×2.50

⇒18 ≤ xy ≤ 30

⇒18 ≤ m ≤ 30

∴ we get

Amount of money Naviah spends each week  is ranged from 18 to 30.

Lisa's weekly pay increases from $525 to $546
Calculate her percentage pay increase.

Answers

546 - 525 = 21

21 is 4% of 525.


Lisa gained a 4% pay increase.

The percentage pay increase of Lisa's weekly will be 4%.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Lisa's weekly pay increased from $525 to $546. Then the percentage pay increase will be given as,

P = [(546 - 525) / 525] x 100

Simplify the expression, then we have

P = [(546 - 525) / 525] x 100

P = (21 / 525) x 100

P = 0.04 x 100

P = 4%

The percentage pay increase of Lisa's weekly will be 4%.

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what is 3/4b>15 solution

Answers

The solution set of the given inequality is  {b| b > 20}.

How to solve the inequality?

Here we have the inequality (3/4)b > 15 and we want to solve it. To do so, we just need to isolate the variable b.

And to do it, we can work with this like we would do with any equation, we can just multipy both sides by (4/3) so we get:

(4/3)*(3/4)*b > 15*(4/3)

b > 20

Then the solution set can be written as {b| b > 20}

That is the set of all values larger than 20.

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show work please i will give brailiest show work pls
2 - 1 + 5 x 4 x 11


14 ÷ 2 -1 + 3


3 x 8 x 2 – 42 + 5

Answers

1. 2-1+5x4x11
5x4=20
2-1+20x11
20x11=220
2-1+220
2-1=1
1+220=221

2. 14/2-1+3
14/2=7
7-1+3
7-1=6
6+3=9

3. 3x8x2-42+5
3x8=24
24x2-42+5
24x2=48
48-42+5
48-42=6
6+5=11
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