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
Simora [160]
4 years ago
11

In the figure below, if m∠2=(18x+6)° and m∠3=(21x+18)° then m∠2= ____ .

Mathematics
1 answer:
Tasya [4]4 years ago
6 0

Answer:

m∠2 = 78°

Step-by-step explanation:

Two lines 'l' and 'm' are parallel and another line 'n' is a transverse.

Since ∠2 and ∠3 are the consecutive interior angles,

Therefore, sum of these angles will be 180°.

m∠2 + m∠3 = 180°

(18x + 6)° + (21x + 18)° = 180°

(18x + 21x) + ( 6 + 18) = 180

39x + 24 = 180

39x = 180 - 24

39x = 156

x = \frac{156}{39}

x = 4

Since, m∠2 = (18x + 6)°

By substituting the value of x = 4,

m∠2 = (18×4) + 6

        = 72 + 6

        = 78°

Therefore, measure of angle 2 is 78°.

You might be interested in
An Internet and cable-television supplier surveyed a random sample of their customers. The results are shown in the table. A 4-c
Kaylis [27]

Answer:

d. About one-fourth of the cable-television customers are not satisfied.

Step-by-step explanation:

There are 3,141 customers in total, of which 2,032 are internet customers and 1,109 are cable customers.

There are 2,644 satisfied customers, of which 1,820 are internet customers and 824 are cable customers.

There are 497 not satisfied customers, of which 212 are internet customers and 285 are cable customers.

Which statement about the two-way frequency table is true?

a. The survey represents quantitative data.

It is the satisfaction of the customers with the service provided, so it is qualitative data.

b. There is a greater percentage of Internet customers who are not satisfied than cable television customers who are not satisfied.

There are 2,032 internet customers, of which 212 are not satisfied. So 212/2,032 = 10.42% of internet customers are not satisfied.

There are 1,109 cable customers, of which 285 are not satisfied. So 285/1,109 = 25.70% of cable customers are not satisfied.

This statement is not true.

c. About half of the video customers surveyed are cable-television customers.

Of the 3,141 customers surveyed, 1,109 are cable customers. This is 1109/3141 = 35.31%.

This statement is not true.

d. About one-fourth of the cable-television customers are not satisfied.

There are 1,109 cable customers, of which 285 are not satisfied. So 285/1,109 = 25.70% of cable customers are not satisfied.

This is the true statement.

3 0
3 years ago
Read 2 more answers
I also need help with this please it the second question
balandron [24]
I think it is ................A
8 0
4 years ago
X + 2y = 3<br> 3x - 2y = 5<br> What is the solution to the system of equations?
Oduvanchick [21]
Step 1: -3(x+2y=3)
Step 2: -3x-6y=-9
Step 3: 3x cancels out with -3x
Step 4: add 2y and -2y, and add 3 and 5
Step 5: the answer is NO SOLUTION or INFINITE SOLUTION
5 0
3 years ago
Pls help help me out help help pls help quick
kotegsom [21]
The answer is b I hope this help
7 0
3 years ago
Read 2 more answers
Shenise is a star player for her women's basketball team. She has injured her ankle, and it is doubtful that she will be able to
Sladkaya [172]

Answer:

<u>The correct answer is that it's expected the team will score 72 points.</u>

Step-by-step explanation:

1. This is the information given in the question:

When Shenise can play the team scores 91 points

Without Shenise the team just scores 60 points

Therefore, when Shenise is at her best, her 100%, she scores 31 points by herself. When she's not in conditions, she can't play.

2. For finding out how many points Shenise can score if she plays, we use this formula:

If Shenise is at her 100%, she scores 31 points, how many points can she score if she's at 40% chance of playing?

Points upcoming game = 31 * 40 / 100

Points upcoming game = 1,240 / 100

Points upcoming game = 12.40 = 12 (rounding to the nearest whole number)

3. If Shenise plays, she can score 12 points. Now, we can calculate how many points her team will score.

Points the team scores when Shenise doesn't play = 60

Points the team will score if Shenise plays = 60 + 12 = 72

<u>The team will probably score 72 points with a 40% chance that Shenise will play the upcoming game</u>

4 0
3 years ago
Other questions:
  • IS 0.6 GREATER THAN OR LESS THAN OR EQUAL TO 0.60
    15·2 answers
  • The radius of a volleyball is 8.5 inches. What is the volume of the volleyball? *
    8·1 answer
  • What is the actual area, in square meters of this field?
    10·2 answers
  • A = bh; solve for h<br> h =
    15·1 answer
  • When u flip a fair coin what is the probablity the outcome would be tales round your answer to 2 decimal place s?
    15·1 answer
  • A shelf can support 3 and 3/4 pounds.
    6·1 answer
  • Find the value of each variable (geometry)
    14·1 answer
  • Solve the polynomial equation by factoring. x^3+2x^2-9x-18=0
    9·1 answer
  • Which of the lines whose equations are given below is perpendicular to 3x - 12y = 10?
    8·1 answer
  • Please help me solve this with steps
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!