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
Katena32 [7]
3 years ago
5

Find the value of x and y

Mathematics
1 answer:
kotykmax [81]3 years ago
3 0

Answer:

x = 8

y = 29

Step-by-step explanation:

By verticle angles theorem, the angles with the measure of ( 4x + 17 ), and the angles with the measure of ( y + 20 ) are equal.

Verticles angles theorem states, when two lines intersect, there are four angles formed. The angles opposite to each other will have the same measure or congruent measures.

Hence one can say that;

4x + 17 = y + 20

Inverse operations;

4x + 17 = y + 20

     -17          -17

4x = y + 3

-3      -3

4x - 3 = y

Assuming that lines "m" and "n" are parallel, then the angles with the measure of ( 5x + 9 ) and the angles with the measure of ( y + 20 ) are congruent.

When two lines are parallel and are intersected by another line (transversal line), then the angles that are alternate and interior are congruent, in other words,  the same measure.

Based on that, one can say;

5x + 9 = y + 20

Earlier it was found that;

y = 4x - 3

Now substitute that into the previous equation, and solve using simplification and inverse operations;

5x + 9 = 4x - 3 + 20

5x + 9 = 4x + 17

     -9          -9

5x = 4x + 8

-4x   -4x

x = 8

Back solve to find y

y = 4x - 3

y = 4(8) - 3

y = 32 - 3

y = 29

You might be interested in
William buys a basket of lemons on sale for $7 before tax. The sales tax is 16%. What is the total price William pays for the ba
alisha [4.7K]

16% = 0.16

7*0.16 = 1.12

7+1.12 = $8.12 total

5 0
3 years ago
4. Is rap music more popular among young Indians than among young Asians? A sample survey compared 634 randomly chosen Indians a
bulgar [2K]

Answer:

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap music every day.

Step-by-step explanation:

Given  a sample survey compared 634 randomly chosen Indians aged 15 to 25 with 567 randomly selected Asians in the same age group.

p_{1} = \frac{368}{634} =0.580

It found that 368 of the Indians and 130 Asians listened to rap music every day.

p_{2} = \frac{130}{567} =0.229

Null hypothesis H0: there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

p_{1} = p_{2}

Alternative hypothesis:- p_{1} \neq  p_{2}

Level of significance α = 0.05

The test of statistic

z = \frac{p_{1} -  p_{2}}{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} })  } } }

where p = \frac{n_{1}p_{1} + n_{1}p_{2}}{n_{1}+n_{2}} = \frac{634(0.580)+567(0.229)}{634+567}

       p = 0.414

and q = 1-p = 1- 0.414 =0.586

Z = \frac{0.580-0.229}{\sqrt{0.414(0.586)(\frac{1}{634} +\frac{1}{567} } } }

on calculation , we get

z = 0.300 ><1.96 at 95 % level of significance

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

3 0
3 years ago
Solve for x. solve for x. solve forx.
Veronika [31]
X = 7
hope this helps
8 0
3 years ago
Read 2 more answers
Amanda invests 5000 in a cd at an annual rate of 2%. What will her investment be worth at the end of three years?
Nookie1986 [14]
The equations would be 5000(1+0.02)^3 and the answer is $5306.04
3 0
3 years ago
Read 2 more answers
Trini rode her bike 12 miles on Friday. She rode 14 miles on Saturday and 15 miles on Sunday. How many miles did she ride in all
loris [4]

Answer: 41

Step-by-step explanation:

12+14+15= 41

4 0
2 years ago
Other questions:
  • june madera a de singular with 6 equilibrio tiles. one tiles is y ellos, 2 tiles are blue, and 3 tiles are purple
    9·1 answer
  • Find the values of a, b and c.
    12·1 answer
  • Gcf of 6x^3, 8x^5, 10x^7
    6·1 answer
  • A 28ft ladder leans against a wall so that the base of the ladder is 5ft away from the base of the wall. How far up the wall doe
    11·1 answer
  • Work out the percentage change when a price of £400 is decreased to £225
    6·2 answers
  • Use the factor theorem to determine whether or not the first polynomial is a factor of the second
    10·1 answer
  • I need help on this question
    13·2 answers
  • PLEASE HELPPPP
    8·2 answers
  • A restaurant owner creates an advertisement promising $25 to take part in a food taste testing trial. The owner selects the firs
    15·1 answer
  • PLS ANSWER PLS PLS PLS
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!