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
A camp program charges a registration fee and a daily amount. The total bill for 12 days is $338. The total bill for 19 days is
Artyom0805 [142]

The charge for 30 days will be $720 and for 22 numbers of days of people can attend the camp.

<h3>How to form an equation?</h3>

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given, the cost of the camp program

$338 → 12 days

And,

$506 → 19 days

Slope = (506-338)/(19-12)

Slope = 24

So, the cost per day will be 24

So equation will be

y = 24x

Now,

The charge is for 30 days ⇒

y = 24 (30)

y = $720

And

Number of days of camp could someone attend with a budget of $530⇒

530 = 24x

x = 22.08

Since day could not be a decimal quantity so it will be 22.

Hence "The charge for 30 days will be $720 and for 22 numbers of days of people can attend the camp".

For more about the equation,

brainly.com/question/10413253

#SPJ1

4 0
2 years ago
Three apple pies, all the following shape, are left on a counter. How much total pie has been left?
faltersainse [42]
1 pie is the total pieeeeeeeeeee
6 0
2 years ago
What does equal -5x-22=2x+13
AleksandrR [38]

Answer:

i think its x = -5

Step-by-step explanation:

6 0
2 years ago
Please come in clutch and help me please and thank you!
sergiy2304 [10]

Answer:

3/20

Step-by-step explanation:

its 3/20 because its really the only possible answer that has 20 has its denominator

4 0
3 years ago
Simplify 8 over negative 4 ÷ negative 3 over 9.
Dvinal [7]

Answer:

1.33

because you have to divide

3 0
3 years ago
Read 2 more answers
Other questions:
  • Aisha runs a tutoring business.with plan 1 students may choose to pay $15 per hour
    7·1 answer
  • I need these all questions is for a grade
    15·2 answers
  • PLZ HELP ME I DO NOT UNDERSTAND
    5·2 answers
  • Given the function f(x) = 2/3 * x - 5 , evaluate f(9)
    12·2 answers
  • The quantities x and y are proportional.<br>pls help plsssss this work is due 20 min plsss helppp
    15·1 answer
  • If there are about 50 Skittles in a normal bag, what is the difference between the number of Skittles in a normal bag and the nu
    5·1 answer
  • How does 3/4 and 9/12are alike and different?
    6·1 answer
  • Find the GCF <br> of 5 and 25 using the <br> distributive property. <br> (5+25)
    14·2 answers
  • Simplify the expression 3^7n^32 3^2n^84?
    12·1 answer
  • If Avogadro's number of pennies is divided equally among the 246 million men, women, and children in the United States, how many
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!