1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bezimeni [28]
2 years ago
15

HELP PLEASE!!!!!! Only 5 more minutes till i turn it in!!!

Mathematics
2 answers:
Stella [2.4K]2 years ago
7 0

Hi!

The <u>Triangle Angle Sum Theorem</u> states that the sum of the interior angles in all triangles will always be 180 degrees.

We can set up an equation with the given information:

40 + (2x - 30) + (x + 20) = 180

Remove parentheses:

40 + 2x - 30 + x + 20 = 180

Combine like terms:

30 + 3x = 180

Subtract 30 from both sides:

3x = 150

Divide both sides by 3:

x = 50

Now, the problem wants us to solve for angle B.

Angle B is (2x - 30) degrees. We know the value of x, so we just have to substitute:

(2x - 30)

(2(50) - 30)

100 - 30

70

<u><em>Therefore, angle B is 70 degrees.</em></u>

GarryVolchara [31]2 years ago
5 0

Answer:

<B = 70°

Step-by-step explanation:

First we need to find x, lets plugin these two equations.

2x - 30 = x + 20

Then find like terms

2x = x + 50 =

x = 50

Then we plugin 50 for x

2(50) - 30 =

100 - 30 = 70

<B = 70°

You might be interested in
what is 7.5 x 10 to the negative 3rd power + 5.8 x 10 to the negative 3rd power in scientific notation
Nastasia [14]
The answer is 1.33*10^-3, or 0.0133.
6 0
3 years ago
A museum sold 95 tickets for $1,025. Each adult ticket was $15, and each child ticket was $7. Let a represent the number of adul
Genrish500 [490]

Answer:

a + c = 95........eq1

15a + 7c = 1,025....eq2

Step-by-step explanation:

Given:

Total number of ticket sold = 95

Total amount collected = $1,025

Price of each adult ticket = $15

Price of each child ticket = $7

Computation:

Number of adult tickets sold = a

Number of child tickets sold = c

So,

Number of adult tickets sold + Number of child tickets sold = Total number of ticket sold

a + c = 95........eq1

and

15a + 7c = 1,025....eq2

4 0
3 years ago
To complete a task in 15 days, a company has 4 people each working 8 hours a day. The company
Klio2033 [76]

Answer:

Let's suppose that each person works at an hourly rate R.

Then if 4 people working 8 hours per day, a total of 15 days to complete the task, we can write this as:

4*R*(15*8 hours) = 1 task.

Whit this we can find the value of R.

R = 1 task/(4*15*8 h) = (1/480) task/hour.

a) Now suppose that we have 5 workers, and each one of them works 6 hours per day for a total of D days to complete the task, then we have the equation:

5*( (1/480) task/hour)*(D*6 hours) = 1 task.

We only need to isolate D, that is the number of days that will take the 5 workers to complete the task:

D = (1 task)/(5*6h*1/480 task/hour) = (1 task)/(30/480 taks) = 480/30 = 16

D = 16

Then the 5 workers working 6 hours per day, need 16 days to complete the job.

b) The assumption is that all workers work at the same rate R. If this was not the case (and each one worked at a different rate) we couldn't find the rate at which each worker completes the task (because we had not enough information), and then we would be incapable of completing the question.

4 0
3 years ago
College courses taken in high school for which students automatically receive both high school and college credits is called ___
lina2011 [118]

The answer is D. Dual enrollment courses

5 0
3 years ago
Read 2 more answers
Given two terms in artimetic sequence find the common difference, the 52 term, and the explicit formula. A15=139 and A30=259
quester [9]

139, 149, 159, 169, 179, 189, 199, 209, 219, 229, 239, 249, 259.


The common difference is 13.


Let n = 52


Let d = common difference


a_52 = 139 + (52 - 1)(13)


a_52 = 139 + (51)(13)


a_52 = 139 + 663


a_52 = 802




4 0
3 years ago
Other questions:
  • bill is currently twice as old as John in 10 years their combined age will be 44 how old is Bill now.
    11·1 answer
  • A hexagonal prism has _________ lateral faces.<br> a. 8<br> b. 7<br> c. 6<br> d. 2
    12·1 answer
  • There are 453.592 grams in one pound. A semi-slick, Kevlar tire weighs about 520 grams. What is the tire’s weight in pounds?
    6·2 answers
  • Y is 5 less than the product of 4 and x
    5·1 answer
  • Sam is 10 years younger than one-half the age of his aunt. Let a represent his aunt’s age. Which algebraic expression can be use
    15·1 answer
  • Tesfa is x years old his father is 4 times as old as tesfa his mother is 7 years younger than his father If their ages add up to
    10·2 answers
  • The circumference of a circle is 106.76 meters. What is the circle's diameter?
    15·2 answers
  • What is the median to 132, 183, 191, 237, 251, 277, 279, 334, 448, 599?<br>​
    13·1 answer
  • Can someone plsss help
    6·2 answers
  • Jay has a budget of $100. Jay spent $13 on movie tickets, $38 on dinner with his friend, and $11 on a taxi ride home. How much m
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!