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20 POINTS !! IF YOU ANSWER THE QUESTIONS !

tatuchka [14]

12 the answer is 12 I know it

6 0

2 years ago

I DONT KNOW THESE! HELP!

kkurt [141]

Answer:

20. x = 5, y = -2

21. x = 11, y = 12

22. x = 22, y = 11

23. x = 11, y = 10

Step-by-step explanation:

20. Opposite sides in the parallelogram are congruent, so

$2y+18=3x-1\\ \\6x-3=17-5y$

Solve this system of two equations:

$\left\{\begin{array}{l}2y-3x=-19\\ \\6x+5y=20\end{array}\right.$

Multiply the first equation by 2 and add two equations:

$2(2y-3x)+6x+5y=2\cdot (-19)+20\\ \\4y-6x+6x+5y=-38+20\\ \\9y=-18\\ \\y=-2$

Substitute it into the first equation:

$2\cdot (-2)-3x=-19\\ \\-3x=-19+4\\ \\-3x=-15\\ \\x=5$

21. Opposite angles in the parallelogram are congruent, so

$11x+5=10y+6$

Consecutive angles are supplementary, so

$6x-y+11x+5=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}11x-10y=1\\ \\17x-y=175\end{array}\right.$

From the second equation

$y=17x-175$

Substitute it into the first equation:

$11x-10(17x-175)=1\\ \\11x-170x+1750=1\\ \\-159x=-1749\\ \\x=11\\ \\y=17\cdot 11-175=187-175=12$

22. Opposite angles in the parallelogram are congruent, so

$2x-5=3y-12$

Consecutive angles are supplementary, so

$2x-5+7y+x=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-3y=-7\\ \\3x+7y=185\end{array}\right.$

From the first equation

$x=-3.5+1.5y$

Substitute it into the second equation:

$3(-3.5+1.5y)+7y=185\\ \\-10.5+4.5y+7y=185\\ \\-105+45y+70y=1,850\\ \\115y=1,850+105\\ \\115y=1,955\\ \\y=17\\ \\x=-3.5+1.5\cdot 17=22$

23. Opposite sides in the parallelogram are congruent, so

$2x+9=4y-9\\ \\3x-5=2y+8$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-4y=-18\\ \\3x-2y=13\end{array}\right.$

Multiply the second equation by 2 and subtract it from the first equation:

$2x-4y-2(3x-2y)=-18-2\cdot 13\\ \\2x-4y-6x+4y=-18-26\\ \\-4x=-44\\ \\x=11$

Substitute it into the first equation:

$2\cdot 11-4y=-18\\ \\-4y=-18-22\\ \\-4y=-40\\ \\y=10$

3 0

3 years ago

Which of the following equations have infinitely many solutions?

ikadub [295]

The equation which represents a system with infinitely many solutions is;

<h3>What system of equations have infinitely many solutions as in the task content?</h3>

The condition for a situation in which case an equation has infinitely many solutions is such that the right hand side and left hand side of the equation are equal.

On this note, it follows that the answer choices which represents the equations with infinitely many solutions is;

46x+23=46x+23

Read more on infinitely many solutions;

brainly.com/question/27927692

#SPJ1

4 0

1 year ago

For his phone service, Chris pays a monthly fee of $23, and he pays an additional $0.06 per minute of use. The least he has been

meriva

9514 1404 393

Answer:

m ≥ 1181

Step-by-step explanation:

Chris's minimum charge indicates he uses his phone more than m minutes, where ...

23 +0.06m ≥ 93.86

0.06m ≥ 70.86

m ≥ 1181

Chris uses his phone at least 1181 minutes per month.

6 0

2 years ago

Nine lollies cost less than $10, while ten lollies cost more than $11 how much does each lollipop cost?

irina [24]

$21 it will cost for lollipop

5 0

3 years ago

Read 2 more answers

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