Find the measure of each angle.



Given: m∠2=x
m∠3=x−16

Solutions:

m∠2=

m∠3=

Answers

Answer 1

Answer:

m∠2 = 98°,   m∠3 = 82°

Step-by-step explanation:

I'm going to assume this is a straight angle

Supplementary angles

Supplementary angle are two angles that equal 180°

m∠2+m∠3=180°

-Substitute

m∠2+m∠2-16=196°

add both side by 16°

2m∠2=196°

Divide both sides by 2

m∠2=98°

Since we said m∠3 = m∠2 - 16°

m∠3 = 82°


Related Questions

PLZ HELP AND ANSWER QUICK Find the gradient of the line segment between the points (2,-3) and (-3,-8).

Answers

Answer:

1

Step-by-step explanation:

I assume you mean slope

(-3-(-8))/(2-(-3))=5/5=1

Wanda is a nurse at a busy city hospital. What qualities might help Wanda in her career?

Answers

Answer:

b.

This may be the complete question:

Wanda is a nurse at a busy city hospital. What qualities might help Wanda in her career?

a. Wanda is task oriented and likes to be alone.

b.  Wanda has a lot of energy and is a good multitasker.

c. Wanda has remarkable typing skills and does well with computers.

d. Wanda has very good concentration skills and likes to create things with her hands.

Answer: b.

Ten less than the product of a number and 45.​

Answers

Answer:

45*x-10

Step-by-step explanation:

10 less than a number would give you

x - 10

and the product of a number means your multiplying and your multiplying 45 so you would get

45*x

add them together and you get

45*x-10

The equation y=−15x+12 is the slope-intercept form of which equation?


5x+13y−4=05 x plus 1 third y minus 4 is equal to 0

−y15+12=xnegative y over 15 plus 12 is equal to x

y−5x=−4y minus 5 x is equal to negative 4

y−15x=−12

Answers

I honestly don't know but I think it would come out to be 4/5

Find the area of the parallelogram. b = 90 ft h = 2 yd The area of the parallelogram is __ft² or __yd². ​

Answers

540 ft^2 because 90x6=540 2 yards = 6 feet

I ain’t giving n9 answer

pls give ans for the following image

Answers

Answer:

7 [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

The reciprocal of a number n is [tex]\frac{1}{n}[/tex]

The reciprocal of 8 is [tex]\frac{1}{8}[/tex]

The reciprocal of [tex]\frac{1}{7}[/tex] is [tex]\frac{1}{\frac{1}{7} }[/tex]  = 7

sum = 7 + [tex]\frac{1}{8}[/tex] = 7 [tex]\frac{1}{8}[/tex]

The cost of a blue balloon is 4 times the cost of a yellow balloon. Rashmi spent₹ 910 in buying both blue and yellow balloons, find the cost of a blue balloon?

Answers

The cost of the blue balloon is  ₹728.

let

the price of the yellow balloon = x

cost of the blue balloon  = 4x

Total amount spent = ₹ 910

Therefore,

4x + x  = 910

5x = 910

divide both sides by 5

5x / 5 = 910 / 5

x = 182

cost of the blue balloon  = 4x = 4(182) =  ₹728

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A particular variety of bamboo grows for
4
months out of the year at a rate of
3
inches per day. The rest of the year, the bamboo is dormant and does not grow.

A graph of the growth for a
12
-month period is shown.



What is the domain of the function that models this phenomenon?

Answers

Using function concepts, it is found that the domain of the function that model this phenomenon is [0, 12].

The domain of a function is the set that contains all possible input values.

In this problem, the function is the height of the bamboo according to the month of the year, hence, the input is the month of the year, which has values between 0 and 12, and thus, the domain of the function that model this phenomenon is [0, 12].

A similar problem is given at https://brainly.com/question/10891721

plz help!I hope you have a wonderful day!!

Answers

18. It would be the second graph. The third graph is eliminated as the boy takes a time period to shave, which means there should be a constant point (horizontal line) right after the first incline. The first one is eliminated as the boy takes a bath which requires another constant point in the graph.

19.
C
E
D
A
B

Simplify the following expression: (1 point)

2x − 6y + 3x2 + 7y − 14x
3x2 + 12x + y
3x2 − 12x − y
3x2 − 12x + y
3x2 − 12x − 13y

Answers

Answer:

[tex]⟼3x {}^{2} + 12 + y[/tex]

Step-by-step explanation:

[tex]Here,2x − 6y + 3x {}^{2} + 7y − 14x [/tex]

[tex] = 3x {}^{2} + 2x - 14x - 6y + 7y[/tex]

[tex] = 3x {}^{2} - 12x - 6y + 7y[/tex]

[tex] = 3x {}^{2} - 12x + y[/tex]

Hello there!

Combine Like Terms:

2x-6y+3x^2+7y-14x

-12x+y+3x^2

3x^2-12x+y

Hope this helps. you!

~Just a determined gal

#CarryOnLearning

Please mark brainliest; I would really appreciate that! :)

[tex]MysteriousNature :)[/tex]

Solve -3(x-2)=2(x-7) and write a reason for each step

Answers

Answer:

4=x

Step-by-step explanation:

-3(x-2)=2(x-7)

Distribute -3 and 2.

-3x+6=2x-14

Add 3x to both sides of the equation.

6=5x-14

Add 14 to both sides of the equation.

20=5x

Divide 5 from both sides of the equation.

4=x

Hope this helps :)

Answer:

x=5

Step-by-step explanation:

Our equation is

-3(x-2)=2(x-7)

First we will distribute -3 and 2, because in math when we have a number being multiplied into parenthesis we multiply both things inside of it

Our equation is now

-3x+6=2x-14

Next we subtract 6 from both sides because we want x to be on only one side

-3x=2x-20

Next we subtract 2x from both sides because we want x to equal something exactly

-5x=-20

Now we divide -5 from both sides because we only want x

x=5

Brainliest please :)

Find the value of the variable(s) in each figure explain your reasoning.

Answers

Answer:

...............................

help me plssssssssssssssss​

Answers

Answer:

1/2= 5/10

this is answer

solve pls brainliest

Answers

Answer:

1/4

Step-by-step explanation:

The constant of proportionality is 1/4.

Answer:

b

Step-by-step explanation:

The form of an equation representing proportion is

y = kx ← k is the constant of proportionality

y = [tex]\frac{1}{4}[/tex] x ← is in standard form

with k = [tex]\frac{1}{4}[/tex]

pleaseeeee helpppppppppppppp

Answers

A math class has 3 girls and 7 boys in the seventh grade and 3 girls and 3 boys in the eight grade. The teacher randomly selects a seventh grader and an eight grader from her class for a competition. What is the probability that the students she selects are both boys?

Answer: 3/5

will give brainliest

Answers

Answer:

Steeper: y=-3/2x+1/2 AND y=-2x+7/3 AND y=-7/4x+3/2

Less Steep: y=-4/3x+2/3 AND y=-8/7x+4/7

Step-by-step explanation:

Hope this helps :)

X=6 and 6=K so x=

Use the transitive property of equality to finish the equation

Answers

Answer:

X=6

Step-by-step explanation:

Hope this helps.

Answer:

x = K

Step-by-step explanation:

If,

x = 6

and 6 = k

=> x = 6 = k

=> x = k

The Transitive Property of Equality states the same fact as:

"If two units are equal to each other and the second unit is equal to a third unit, then the first unit is also equal to the third unit."

does the graph represent a function? yea or no

Answers

Answer:

no

Step-by-step explanation:

It is not because it does not pass the vertical line test.

****************************************************************

This is the vertical line test:

Imagine a vertical line that starts at the left side of the graph, at x = -8, and is moving right to x = 8. If at any time in the vertical line's movement from left to right, it intersects more than 1 point of the relation simultaneously, then the relation is not a function.

******************************************************************

Here, when the vertical line is x = -7, the vertical line intersects points (-7, 4) and (-7, 6) simultaneously. That means this relation does not pass the vertical line test, and it is not a function.

x^2 + y^2 = z^2

A) The square of the sum of the first number and second number is the square of the third number

B) The sum of the square of the first number and the square of the second number is the square of the third number

pls need help with this..​

Answers

B) the sum of the square of the first number and the square of the second number is the square of the third number

I really need help asap please!

Answers

Answer:

49

Step-by-step explanation:

the line joined by midpoints of sides is called midsection

which is parallel to the third side and is half its length

so (5x - 26) * 2 = 9x - 37

10x - 52 = 9x - 37

x = 52 - 37

x = 15

so PQ is 5x - 26

= 5*15 - 26

= 75 - 26

= 49

Please help me, if you do not know do not answer please!

Answers

Step-by-step explanation:

Relation 1 :-

For each different inputs we don't have distinct outputs . As in 2nd and 4th . So it's not a function .

Not a function

Relation 2 :-

For same inputs we have distinct outputs . So it's not a function .

Not a Function

Relation 3 :-

For each different inputs we don't have distinct outputs . As in 2nd and 1st . So it's not a function .

Not a function

Relation 4 :-

For same inputs we do have distinct outputs . So it's not a function .

Not a Function

The angle measurements in the diagram are represented by the following expressions

Answers

Answer:

∠ B = 126°

Step-by-step explanation:

∠ A and ∠ B are alternate angles and are congruent , then

8x + 78 = 2x + 114 ( subtract 2x from both sides )

6x + 78 = 114 ( subtract 78 from both sides )

6x = 36 ( divide both sides by 6 )

x = 6

Then

∠ B = 2x + 114 = 2(6) + 114 = 12 + 114 = 126°

Fifty-four percent of the students in your class have moved at least one
time. Write this percent as a decimal.

Answers

Answer:

0.54

Step-by-step explanation:

54 space 2 times is 0.54

What is the equation of the line that passes through points (10,6) and (2,2) ?

Answers

Answer:

y = (1/2)x + 1

Step-by-step explanation:

y = mx + b

m = slope = (y2 - y1)/(x2 - x1) = (6 - 2)/(10 - 2) = 4/8 = 1/2

y = (1/2)x + b

Use point (2, 2) to find b.

2 = (1/2)(2) + b

2 = 1 + b

b = 1

Equation: y = (1/2)x + 1

What is the equation in point-slope for the linear function whose graph contains points (1, -2) and (-3, 6)?

A. y - 6 = 2(x + 3)
B. y - 6 = -2(x + 3)
C. y - 2 = -2(x - 1)​

Answers

Answer:y+2 = 2(x-1)

Step-by-step explanation:

First we find the slope

(1,-2) (-3,6)

rise/run

change of y/change of x

8/-4

-2

The slope is -2

point slope form is y-y1 = m(x-x1)

m is the slope, y1 is y coordinate of a point and x1 is x coordinate of same point as the y1 point.

lets use (1,-2)

y-(-2) = 2(x-1)

point slope form

y+2 = 2x-2

y = 2x-4

slope intercept form

On the way to her babysitting job, Mary rode her bike for the first mile. She stopped at a traffic light and waited a few minutes for the traffic light to turn green. She then walked her bike across the street and up a short steep hill. Finally, she rode the bike at a constant speed for one more mile. If Mary created a graph of her time and distance, which statement describes the part of her graph that would show no change in distance?
A.Mary used her bike to ride the first mile.
B.Mary stopped and waited for the traffic light to turn green.
C.ary walked her bike across the avenue and up a short hill.
D.Mary rode her bike at a constant speed for one mile.

Answers

Answer:mile.

B.Mary stopped and waited for the traffic light to turn green.

Step-by-step explanation:

edge 2020 its simp3l

I need help ASAP no links and no tricks the one who answers correctly I will mark brainiest. If I got #5 wrong let me know and tell me the right answer and show your work. Ty for ur help ❤️‍❤️‍❤️‍

Answers

Answer:

[tex]y=-\frac{4}{3} x+4[/tex]

Step-by-step explanation:

Slope-intercept form is written in [tex]y=mx+b[/tex]

So, to solve, we must separate y onto one side and make its coefficient one.

[tex]4x+3y=12[/tex]

Subtract 4x on both sides.

[tex]3y=12-4x[/tex]

Divide both sides by the coefficient of [tex]y[/tex], which is 3.

[tex]\frac{3y}{3} =\frac{12-4x}{3}[/tex]

Simplify.

[tex]y=4-\frac{4}{3} x[/tex]

Rewrite this equation into standard form by changing the order of [tex]mx[/tex] and [tex]b[/tex]

[tex]y=-\frac{4}{3} x+4[/tex]

Answer

y=4/5 times 2/3

Step-by-step explanation:

4) A company manufactures widgets. The expense function E=8q+12,000 and the
demand function q= -10p +20,000, where p is the price.

a. Express the variable expense V in terms of q, where q is the quantity of widgets
produced

b. Express the total expenso E in terms of p.

c. Determine the Revenue R in terms of p. (Hint: R=p•q).

d. Determine the profit P in terms of p. (Hint: P=R-E).

e. Determine the price that will yield the maximum profit. (Hint: x = -b/2a).

f. Determine the maximum profit.

Answers

Revenue, profit and expenses are all integral parts of a company's balance sheet

The expense in terms of q is [tex]\mathbf{E = 8q + 12000}[/tex]The expense in terms of p is [tex]\mathbf{E = -80p + 172000}[/tex]The revenue in terms of p is [tex]\mathbf{R = -10p^2 + 20000p}[/tex]The profit in terms of p [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]The price that yields the maximum profit is $1004The maximum profit is $9908160

The expense function is given as:

[tex]\mathbf{E = 8q + 12000}[/tex]

The demand function is given as:

[tex]\mathbf{p = -10p + 20000}[/tex]

(a) The expense in terms of q

This is already given as: [tex]\mathbf{E = 8q + 12000}[/tex]

(b) The expense in terms of p

Substitute -10p + 20000 for p in [tex]\mathbf{E = 8q + 12000}[/tex]

[tex]\mathbf{E = 8(-10p + 20000) + 12000}[/tex]

Expand

[tex]\mathbf{E = -80p + 160000 + 12000}[/tex]

[tex]\mathbf{E = -80p + 172000}[/tex]

(c) The revenue in terms of P

This is calculated as:

[tex]\mathbf{R = p \times q}[/tex]

So, we have:

[tex]\mathbf{R = p \times (-10p + 20000)}[/tex]

Expand

[tex]\mathbf{R = -10p^2 + 20000p}[/tex]

(d) The profit in terms of p

We have:

[tex]\mathbf{R = -10p^2 + 20000p}[/tex] and [tex]\mathbf{E = -80p + 172000}[/tex]

So, the profit P is calculated as:

[tex]\mathbf{P =R - E}[/tex]

This gives

[tex]\mathbf{P =-10p^2 + 20000p +80p - 172000}[/tex]

[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]

(e) The price that yields maximum profit

In (d), we have:

[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]

The maximum price is calculated using:

[tex]\mathbf{p = -\frac{b}{2a}}[/tex]

Where:

[tex]\mathbf{b =20080}[/tex]

[tex]\mathbf{a = -10}[/tex]

So, the equation becomes

[tex]\mathbf{p = -\frac{20080}{2 \times -10}}[/tex]

[tex]\mathbf{p = 1004}[/tex]

Hence, the price that yields the maximum profit is $1004

(f) The maximum profit

In (e), we have: [tex]\mathbf{p = 1004}[/tex]

Substitute 1004 for p in [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]

[tex]\mathbf{P =-10(1004)^2 + 20080(1004) - 172000}[/tex]

[tex]\mathbf{P =9908160}[/tex]

Hence, the maximum profit is $9908160

Read more about revenue, expenses and profit at:

https://brainly.com/question/23103804

Solve for x.

4/5(x−3/10)=−2 1/4

Enter your answer as a mixed number in simplest form in the box.

Answers

Answer:

x = -201/80

Mixed form: x = -2 41/80

Step-by-step explanation:

Value of x =  [tex]-2\frac{1}{4}[/tex]

What is algebraic equation?

Algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.

Examples: (y²x² + 2xy – y)/(x – 1) = 12.

Given, equation

[tex]\frac{4}{5}(x- \frac{3}{10} )[/tex] = [tex]-2\frac{1}{4}[/tex]

⇒4/5[(10x-3)/10] = -9/4

⇒2/5[(10x-3)/5] = -9/4

⇒(20x-6)/25 = -9/4

⇒80x - 24 = -225

⇒80x = -225 + 24

⇒x = -201/80

⇒x = -2.5125

⇒x = [tex]-2\frac{1}{4}[/tex]

Hence, the value of x in simplest mixed number is    [tex]-2\frac{1}{4}[/tex]

Learn more about algebraic equation here:

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Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.
y=2x+1
y=x-2

one solution; (–3, –5)

infinitely many


no solution


one solution; (–5, –3)

Answers

Answer:

y=11-2x           x + y =15

4x − y=7 and 2x − y=15 all have one solution

x=12 − 3y             2x + y=7

3x + 9y=24 and -4x=2y + 14 have no solution

you can just put the rest in infinite solutions

Step-by-step explanation:

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Round this number to the nearest one.3.5 A student has been assigned this passage for a class presentation that includes a visual element. Which would be the BEST way to organize the information on a poster? A) a diagram B) a timeline C) a bar graph D) a flow chartI need the smartest which of these is a NATIONALITY?Hispaniccan AmericanO TexasO Person of Color 50 points. Describe this imagedescribe this image to the best of your ability in a couple of sentences summarizing the following; how does it make you feel? what does the image contain? what is happening in the image?full answers only! incorrect answers will lead to you being flagged! is {(-2,1),(-1,2),(0,3),(1,4) } a function? Which of the graphs below would result if you made the leading term of thefollowing function negative?F(x) = 2x4 + 2x + 2 Whats the scale factor Lesson 1: Living Things Themes DRY MOUNT SPECIMEN PREPARATION Task # Direction: Study the procedures in column A and B. poste your accomplished improvise specimen Procedure How does it look like Your Tasks Yo work Prepare a slide, most microscope slides are flat on Cut the cardboard into 1 top and bottom and inch width and 3 inches in rectangular in shape. It is height. This will serve as transparent that allows the light pass on your slide Slice off a thin piece of the sample specimen. Use a razor blade to cut your specimen material into a thin, translucent slice In a colored paper cut a portion of it of l cm by 1 cm. In order to make a sample specimen Place the strip colored paper over the cardboard Place the sample specimen on the slide. Use a pair of forceps to pick up the thin slice of your sample specimen Set a cover slip over the mple specimen. The cover lip prevents the sample cimen from tumbling off the slide Using the transparent plastic, cover the sample. The plastic cover will serve as the cover slip of the sample How do you write (4)(25)-300 as an addition equation Select all ratios equivalent to 4:16.3:126:485:4 Do the coil resistances have any effect on the plots? From a club with 12 members, how many ways could you choose a committee of 5? You apply the same force to two objects. Object 1 has mass M and object 2 has mass 5M. The acceleration of object 2 isSelect one:a. one-fifth as that of object 1.b. ten times that of object 1.c. has no relation to that of object 1.d. the same as that of object 1.e. five times that of object 1. choose the conjunction.Hey, I got a bicycle and a scooter for my birthday At the beginning of spring, Caroline planted a small sunflower in herbackyard. When it was first planted, the sunflower was 15 inches tall.The sunflower then began to grow at a rate of 2.5 inches per week.How tall would the sunflower be after 10 weeks? How tall would thesunflower be after w weeks?Height after 10 weeks: help me write a song pleasedue soon1st person gets a crown A store had a 20% offBlack Friday sale. One item wasoriginally $75. How much was it onsale for Flying Home A bird flies from the bottom of a canyon that is 844 9/10 feet below sea level to a nest that is 55 4/5 feet above sea level. What is the difference in elevation between the bottom of the canyon and the bird's nest? The difference between the elevation of the canyon and the bird's nest is enter your response here feet. (Simplify your answer. Type an integer, proper fraction, or mixed number.) 1. Comparision of DNA sequences among single-celled organisms suggests that eukaryotes are more closely related to archaea than bacteria. The type of evidence is . Y=2x + 11Solve the problem.