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
stiv31 [10]
2 years ago
9

I need an answer soon, please! Whoever answers first will get Brainliest!!! Please no troll answers!

Mathematics
2 answers:
Colt1911 [192]2 years ago
8 0

Answer:

x = 8, and y = 12

Step-by-step explanation:

There are 2 variables, so you need 2 equations to form a system of equations in two variables.

The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.

First equation:

100 + 2x + y + 5x + y = 180

Simplify:

7x + 2y = 80     (First equation)

Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.

Second equation:

2x + y = 5x - y

Simplify:

3x - 2y = 0    (Second equation)

Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.

7x + 2y = 80

3x - 2y = 0

Solve the second equation for 2x.

3x = 2y

Now replace 2y in the first equation with 3x.

7x + 3x = 80

10x = 80

x = 8

Replace x with 8 in the second equation.

3(8) - 2x = 0

24 = 2x

x = 12

Answer: x = 8, and y = 12

Readme [11.4K]2 years ago
7 0

Answer:

  • x= 8
  • y = 12

Step-by-step explanation:

Alternate interior angles are equal

Therefore 5x - y = 2x + y

5x - 2x - y = 2x - 2x + y

3x - y = y          

3x = 2y

All triangles have 180

Solve for x

  • 100 + 5x + y +2x + y = 180
  • 100 + 7x + 2y = 180
  • 7x + 2y = 180 - 100
  • 7x + 2y = 80                         Substitute 3x for 2y
  • 7x + 3x = 80
  • 10x = 80
  • x = 8

Solve for y

  • 7x + 2y = 80
  • 7*8 + 2y = 80
  • 56 + 2y = 80
  • 2y = 24
  • y = 12
You might be interested in
Meaning of transmission<br><br>last napo​
PtichkaEL [24]

Answer:

the action or process of transmitting something, or the state of being transmitted.

8 0
2 years ago
Read 2 more answers
The mean of 9 observations was found to be 35. Later on, it was
USPshnik [31]

Answer:

its 42

Step-by-step explanation:

315-18+81=378

Correct mean =378/9=42

3 0
2 years ago
If there are 30 adults at a party and 21 kids at a party what is the fraction of adults at the party
Arisa [49]

Answer:

i think its 70 percent maybe

3 0
2 years ago
Read 2 more answers
Assuming log, 4.4 = 1.4816 and log 7.7 = 2.0142, then whats the value of log, 7/4
denis23 [38]
Log (7/4) is equivalent to log (7.7/4.4), therefore it's log(7.7) - log(4.4), or...

2.0142 - 1.4816 = 0.5326
4 0
2 years ago
Read 2 more answers
Pls help I forgot how to solve this kind of problem
Maslowich

Answer:

72.1110255093 cm

Step-by-step explanation:

round it if you have to

8 0
3 years ago
Read 2 more answers
Other questions:
  • How do you multiply fractions with cross canceling&lt;br /&gt;
    12·1 answer
  • Determine the equation of the inverse of y=1/4x^3-2
    9·1 answer
  • Length of the rectangle is 4 less than 3 times its width. If the perimeter of
    10·1 answer
  • What is R when N = 31.5ft and slope = 4/12
    15·1 answer
  • What is the factor of 5x^2 + 10x
    7·1 answer
  • In Gloria class about 25% of the students wore sweatshirts to school one day. If there are 29 students in her class about how ma
    9·1 answer
  • A kite flying in the air has an 7-ft line attached to it. Its line is pulled taut and casts a 5-ft shadow find the heights of th
    10·1 answer
  • Solve the equation 0.3x-2=0.1(x+20) whats the solution set?
    6·1 answer
  • I have a figure with the shaded region in the middle
    6·1 answer
  • Trong has 16% of each paycheck automatically deposited to his savings account. His last paycheck was $2,285. How much money, in
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!