Angels ABC and DEF are supplementary angles. The measure of angle ABC, in degrees, is given by the expression 2x + 10. The measure of angle DEF, in degrees, is given by the expression 3x - 15. What is the value of x?

Answers

Answer 1

Answer:

x = 31°

Step-by-step explanation:

Recall ;

Supplemtary angles summ up to 180°

Given that :

ABC and DEF are Supplementary angles and hence sum up to 180°

ABC + DEF = 180°

(2x + 10) + (3x + 15) = 180

2x + 10 + 3x + 15 = 180

2x + 3x + 10 + 15 = 180°

5x + 25° = 180°

5x = 180 - 25

5x = 155

x = 155 / 5

x = 31°


Related Questions

Suppose that a family has an equally likely chance of having a cat or a dog. If they have two pets, they could have 1 dog and 1 cat, they could have 2 dogs, or they could have 2 cats.

What is the theoretical probability that the family has two dogs or two cats?
Describe how to use two different coins to simulate which two pets the family has.
Flip both coins 50 times and record your data in a table like the one below.

Result Frequency
Heads, Heads
Heads, Tails
Tails, Heads
Tails, Tails
Total 50
Based on your data, what is the experimental probability that the family has two dogs or two cats?
If the family has three pets, what is the theoretical probability that they have three dogs or three cats?
How could you change the simulation to generate data for three pets?

Answers

The theoretical probability that the family has two dogs or two cats is 1/3.

(branliest will be appreciated)

Find the perimeter of the trapezoid.

Answers

Answer:

18.9

Step-by-step explanation:

perimeter of a trapezoid is base + base + side + side (p = a + b + c + d)

adding up each of the sides gives you 18.9

A delivery truck covers a distance of 50 miles every hour. Write the equation that represents, d, the truck has covered over h hours.

Answers

Answer:

50 times h=d

Step-by-step explanation:

An observer in the lighthouse is 70 feet above the water. He sites two boats in the water directly in front of him. The angle of depression to the nearest boat is 35°. The angle of depression to the other boat is 18°. What is the distance between the two boats? Round to the nearest foot

Answers

Answer:

62 feet. looked it up.

Step-by-step explanation:

Have a great day! :)

The radius of a circle measures 11cm. what is the circumference of the circle?​

Answers

Answer:

C = 69.08

Step-by-step explanation:

C = 2πr

C = 22π or 69.08

A map has a scale of 2 in. = 16 mi. If you measured the distance between two cities to be 19 in. on the map, how many miles would it actually be?

Answers

Answer:

Step-by-step explanation:

2 in/16mi = 19 in/x mi

152 mi

Answer:

16 miles = x miles

(1/2) inch 2 3/4 inches

x = (11/4) * 16 = (11/4) * 2 * 16 = 88 miles

(1/2)

Step-by-step explanation:

As was the case in your previous question, this problem involves setting two ratios equal to each other. We call such an equation a proportion.

What is the midpoint of the vertical line segment graphed below? (2, 4), (2, -9) A. (4, -5). B. (2, -5/2). C. (2, -5). D. (4, 5/2)

Answers

Answer:

B. [tex] (2, -\frac{5}{2}) [/tex]

Step-by-step explanation:

Given:

(2, 4) and (2, -9)

Required:

Midpoint of the vertical line with the above endpoints

Solution:

Apply the midpoint formula, which is:

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Where,

(2, 4) = (x_1, y_1)

(2, -9) = (x_2, y_2)

Plug in the values into the equation:

[tex] M(\frac{2 + 2}{2}, \frac{4 + (-9)}{2}) [/tex]

[tex] M(\frac{4}{2}, \frac{-5}{2}) [/tex]

[tex] M(2, -\frac{5}{2}) [/tex]

Help please n thank u

Answers

Answer:

97.4

Step-by-step explanation:

Cheryl made a one-time deposit at Eagle Savings & Loan of $6,400. The bank offers a 4.5% interest rate compounded annually. What is the amount of interest Cheryl will earn at the end of 5 years? help please ((:

Answers

Answer: I am truly sorry for doing this.

Step-by-step explanation:

The temperature currently −4.574°F. A high-pressure front increases the temperature to 8.7°F. Let x represent the number of degrees the temperature increases. How many degrees did the temperature increase?

Answers

Answer:

Step-by-step explanation:

Evalue without using a calculator

Answers

Answer:

square root of 2

Step-by-step explanation:


A survey asked 100 adults about car ownership and ride-sharing apps. Of the 38 people without a car, 29 have ride-sharing app on their phone. A total of 47 people have a ride-sharing app on their phone.

What percentage of people surveyed who own a car have a ride-sharing app on their phone? Round to the nearest whole percent.
Enter the correct answer in the box.

Answers

Answer:

it should be 18%

Step-by-step explanation:

The lenght of one side rectangle is x cm the length of longer side is (X+4) cm if the rectangle has the peimeter of 48 cm find the area?

Answers

Answer: 140cm²

Step-by-step explanation:

Perimeter of a rectangle is calculated as: = 2(length + width)

where,

Length = x+4

Width = x

Therefore, perimeter = 2(length + width)

2(x + x+4) = 48

2(2x + 4) = 48

4x + 8 = 48

4x = 48 - 8.

4x = 40

x = 40/4

x = 10cm

The other side = x+4 = 10+4 = 14cm

Area = length × width

Area = 10cm × 14cm

Area = 140cm²

As she drove down the icy road, Mrs. Campbell slammed on her brakes. Her car did a 360. Explain what happened to Mrs. Campbell's car.

Answers

Answer:

Step-by-step explanation:

Her car doing a 360 means that the car turned in a manner akin to going round a full circle. This is because, she was moving on an icy way. Ice have been known to be slippery, and thus, stepping on the brakes unexpectedly would have made the car tilt a bit, which then increased to turning sideways, and an eventually full circle turning. This full circle turning is what is being referred to as 360

PLZZZZ HELP ME ,Plsss

Answers

Answer:

V = 72 ft³

Step-by-step explanation:

V = (3 x 8 x 2) + (4 x 2 x 3) = 72 ft³

Answer:

Try 1,152

Step-by-step explanation:

I think you have to multiply all the numbers and get 1,152. I'm not that good at math but.

The polynomial is (x-2) is a factor of the polynomial 4x^2-6x-4

A. True
B. False

Answers

True, (x-2) is a factor of the polynomial 4x^2-6x-4. Option A is correct.

What exactly is a polynomial?

A polynomial is an algebraic statement made up of variables and coefficients.

Variables are sometimes known as unknowns. We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.

Given equation;

[tex]\rm 4x^2-6x-4[/tex]

The factors of the given equation:

2(2x+1)(x−2)

True, (x-2) is a factor of the polynomial 4x^2-6x-4.

Hence option A is correct.

To learn more about polynomials, refer to:

https://brainly.com/question/17822016

#SPJ1

A telephone pole that is 14 ft. tall has fallen against a house. If the top of the telephone pole touches the house 10 ft. above the ground, what is the angle that the telephone pole makes with the ground?

Answers

Answer:

45°

Step-by-step explanation:

made a special triangle 45-45-90,

Answer:

45.6 degrees

Step-by-step explanation:

see image

The heights of all 12-year old girls in the U.S. Are normally distributed with a mean of 60.5 inches and a standard deviation of 3 inches. What is probability that a girl chosen at random from a that age group with have a height of at least 69.5 inches?

Answers

Answer: 6 inches is the average pp

Please help me find the perimeter for the composite figure.

Answers

Answer:

A 10.28in

Step-by-step explanation:

Find the perimeter of the circle first. Because there are two half-circles, you can just find the circumference of one whole circle. 2πr is the formula. r is the radius. The circumference of the circle is 2π or 6.28.

Then add the two sides of the square. It is 2+2=4. Add 6.28 and 4.

What is the slope and y-intercept of the following equation: 5x - 3y = 36

Answers

Answer:

y=5/3x-12

slope= 5/3

y-intercept= -12

Step-by-step explanation:

i hope this helps :)

I needddd helppppp !!!what’s the answer ?

Answers

Answer:

cosA = [tex]\frac{8}{17}[/tex]

Step-by-step explanation:

Using the identity

cosA = [tex]\frac{1}{secA}[/tex] = [tex]\frac{1}{\frac{17}{8} }[/tex] = [tex]\frac{8}{17}[/tex]

Answer:

8/17

Step-by-step explanation:

sec A = Hypotenuse/ Adjacent = 17/8

cos A = Adjacent / Hypotenuse = 8/17

Hope this helps

What is the volume of a ball if its diameter is 6 inches? Leave your answer in terms of π.
A) V = 12 π cubic inches

B) V = 36 π cubic inches

C) V = 288 π cubic inches

D) V = 27.75 π cubic inches

Answers

Answer:

B

Step-by-step explanation:

I am assuming that this ball is a perfect sphere.

The volume of a sphere is [tex]\frac{4}{3} *\pi *r^3[/tex]

We have the diameter, and in order to find the radius, we just have to divide by 2. 6/2=3. Now, we have to plug in the 3 to the equation.

[tex]\frac{4}{3} *\pi *3^3[/tex]

3 cubed is 27, so now we have [tex]\frac{4}{3} *\pi *27[/tex]

27*4/3*pi=36pi

The volume of a ball if it’s diameter is 6 inches. It’s is 36 the answer is B

Help pls and no links

Answers

We know a or b != 0

but a-b==0 so both are the same unknown number

b/a must = 1

so

a/b is equivalent to b/a as a/b=1 as well.

So the last answer choice.

Which points are on the graph of the line 32 +6y=18? Check all that apply.
(-2,4)
(0,3)
0 (0,6)
(3,0)
0 (4, -2)
(6,0)
Activate

Answers

(6,0),(0,3),(-2,4) these are the answers I got

60 Points! Please answer correctly no bull answers if you don't know it don't answer!
But if you do know the answer plz answer quickly! WILL GIVE BRAINIEST, FASTEST ANSWER! EXPLAIN PLEASE <3333

Answers

Answer:

22.44 cm^2

Step-by-step explanation:

There's four triangles and one square so lets start with the triangles.

2.24×3÷2=3.36

That's the area of one triangle, there's four so:

3.36×4=13.44

Then the square!

3×3=9

13.44+9=22.44 cm^2

I'm not sure if this is the standard way since I didn't learn about pyramids so I used the area stuff, so sorry if its not correct.

Have a nice day!

LINKS WILL BE REPORTED ALONG WITH NONSENSE ANSWERS THANK YOU
Please help me with this, I understand how to do the first equation but not the second (the one where it says he sold more accessories than phone commissions) Brainliest will be given!

Answers

what's ur ig bestie? it's making me write it longer so hihihi

PLEASE HELP!!! I don't understand.
If a_n is a sequence that includes the terms:
250, ___, 10
What missing number(s) would the missing term be if:

a) a_n is arithmetic
b) a_n is geometric

Answers

9514 1404 393

Answer:

arithmetic: 130geometric: ±50

Step-by-step explanation:

Arithmetic sequence

The terms of an arithmetic sequence have common difference. If the missing term is x, then the difference between terms is the same:

  x -250 = 10 -x

  2x = 260 . . . . . . add 250+x to both sides

  x = 130 . . . . . . . . divide by 2

The missing term of an arithmetic sequence is 130.

(the common difference is -120)

__

Geometric sequence

The terms of a geometric sequence have a common ratio. If the missing term is x, then the ratios between terms are the same:

  x/250 = 10/x

  x^2 = 2500 . . . . . . . multiply both sides by 250x

  x = ±√2500 = ±50 . . . take the square root

The missing term of a geometric sequence is +50 or -50.

(the common ratio is ±1/5)

A 1.5m tall boy casts a 3m shadow. Calculate the height of a tree that simultaneously casts an 8m shadow.

Answers

If 1.5m boy makes a 3m that means it doubled. A 8m tree can probably be 16m

Program the VR Robot to drive in a square. Make each side of the square 3 grid squares long. What is the area of your square in mm? Use a calculator and/or pencil and paper to find out.

Answers

Answer:

9 mm squared

Step-by-step explanation:

hope this helps, lol :b

what is the probability that a soccer play and a hockey player would be randomly chosen , that they would both be wearing blue

Answers

Answer:

5 out of 10%

Step-by-step explanation:

Answer:

not enough information

Step-by-step explanation:

you need to know how many soccer players and how many hockey players there are and out of that how many of them are wearing blue

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