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Charra [1.4K]
3 years ago
7

I DONT KNOW THESE! HELP!

Mathematics
1 answer:
kkurt [141]3 years ago
3 0

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

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I have been stuck on this for a while
Semmy [17]

Answer:

Actually the answer would be 120.

4.16×48=200

3/5×200=120.

120 people out of five play.

3 0
3 years ago
What are two factors of the composite number 46 other than 1 and 46? A. 3 and 7 B. 2 and 13 C. 2 and 23 D. 3 and 33
riadik2000 [5.3K]

Answer:

2 and 23 are the factors of the composite number 46 .

Option (C) is correct.

Step-by-step explanation:

As given in the question  46 is a composite number .

Definition of factors

"Factors" are the numbers you multiply to get another number.

As 46 is written as

46 = 2 × 23

Therefore the factors of the composite numbers 46 are 2 and 23 .


6 0
3 years ago
Read 2 more answers
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lisabon 2012 [21]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
Plsi I’ll give brainless
Kay [80]

Answer:

It's below in the explanation

Explanation

1. x has to be greater than 2. So 3 and 4 both work

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3. t has to be less than 5. So 3 and 4 both work

4. There isn't a number there. what is 5 less that?

5. j has to be less than 5 so 5 and 4 both work

6. y has to be less than 4. So 4 and 3 both work

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8.There isn't a number there

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Hope this Helps!

4 0
2 years ago
In a game of chance, the probability of winning a $50 is 40% and the probability of losing a $50 prize is 60%. what is the expec
melamori03 [73]
To calculate expected value,
We can add up the probability of all possible events.
The 2 possible events are either winning $50 or losing the prize, which is $ - 50
Expected value =
50 x 40 % + (-50) x 60%
= $-10
So the answer is $-10
4 0
3 years ago
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