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4 votes
Me and my friend need help with this.
It's just some simple math but we're both bad at this.

Me and my friend need help with this. It's just some simple math but we're both bad-example-1
Me and my friend need help with this. It's just some simple math but we're both bad-example-1
Me and my friend need help with this. It's just some simple math but we're both bad-example-2
User Peterfoldi
by
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2 Answers

2 votes

Answer:

23 --> 27

36 --> one solution; infinitely many solution; no solutions

Explanation:

23: We know that the three angles add up to 180 in a triangle. In this case, 180 = (3x - 9) + (6x) + (45 - x)
180 = 3x + 6z - x - 9 + 45
180 = 8x + 36
144 = 8x
x = 18

m∠C = 45 - x
m∠C = 45 - (18)

m∠C = 27

36: It's just requires some simplifying.

(2x - 3)/3 = -2x/3 - 1/9
3(2x - 3) = -6x - 1 <-- multiplied both sides by 9 to get rid of fractions
6x - 9 = -6x - 1
12x - 9 = -1
12x = 8
x = 2/3 <-- There is only one solution to this equation.

(2x - 3)/3 = 2x/3 - 1
(2x - 3)/3 = 2x/3 - 3/3
(2x - 3)/3 = (2x - 3)/3 <-- Same equation means that the line will overlap each other infinitely, so there are infinitely many solutions. If you simplify it further you will just get 0=0.

(2x - 3)/3 = 2x/3 - 1/9
(2x - 3)/3 = 6x/9 - 1/9
(2x - 3)/3 = (6x - 1)/9
9(2x - 3) = 3(6x - 1) <-- cross multiplication method
18x - 27 = 18x - 3 <-- Same slope but never touching.
-27 = -3 <-- false, so there are no solutions.

User Chitrank Dixit
by
7.8k points
4 votes

Answer:

for number 1. x=18

Explanation:

I have no idea about number 2 though sorry

User Nullptr
by
8.5k points

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