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harina [27]
3 years ago
7

2. The sum of the measures of angle X and angle Y is 90. If the measure of angle X'is 30 less than

Mathematics
1 answer:
dimulka [17.4K]3 years ago
5 0

Answer:

The measure of angle x is 50 degrees

Step-by-step explanation:

we know that

x+y=90 ----> equation A

x=2y-30 ----> equation B

solve the system by substitution

substitute equation B in equation A

(2y-30)+y=90

solve for y

3y=90+30

3y=120

y=40^o

Find the measure of angle x

x=2(40)-30=50^o

therefore

The measure of angle x is 50 degrees

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Which equation has the solution x = 3?
arsen [322]
Well, let's first solve each equation:

1.) -4x + 6 - 3x = 12 - 2x - 3x

To start, combine each like-term on each side of the equal sign (The numbers with variables in-common // the numbers alike on the same side of the equal sign):

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Now, we get the two terms with variables attached to them, on the same side, so, we do the opposite of subtraction, which is, addition:

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+5x +5x
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Next, you do the opposite of addition, which is, subtraction, and, subtract 6 from both sides:

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So, the answer is not 'A.'
_________________________________________

Now, we test out the rest of the equations, the exact same way:

2.) 4x + 6 + 3x = 12 + 2x + 3x

Combine your like-terms, on each side of the equal sign:

7x + 6 = 12 + 5x

Now, get both terms, with the variable, 'x,' to the same side, and, to do that, do the opposite of addition, which is, subtraction:

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2x + 6 = 12
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Finally, divide by 2, on both sides:

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So, the answer is 'B.'
_________________________________________

3.) 4x + 6 - 3x = 12 - 2x - 3x

Again, we combine the like-terms, on both sides of the equal sign:

x + 6 = 12 - 5x

Now, we get both terms with the variable 'x,' to the same side, and, the opposite of subtraction, is addition, so, we're going to add 5x to both sides:

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Now, we subtract 6 from each side, because, the opposite of addition, is subtraction:

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Now, divide by 6, on both sides:

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4.) 4x + 6 - 3x = 12x + 2x + 3x

First, we combine the like-terms:

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Next, we get both terms, with the variable, 'x,' to the same side:

x + 6 = 17x
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_____________
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So, 'D,' is not the answer.
_______________________

The answer is, 'B.'

I hope this helps!
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