For the first one:
2x + 2 = 3x - 52
2x + 2 + 52 = 3x - 52 + 52
2x + 54 = 3x
2x - 2x + 54 = 3x -2x
54 = x
For the second:
124 + 2x + 4 = 180
124 + 4 + 2x = 180
128 + 2x = 180
128 - 128 + 2x = 180 - 128
2x = 52
2x/2 = 52/2
x = 26
Answer:
the answer should be positive 2 I could be wrong
<h2>
Hello!</h2>
The answer is:
The correct option is:
A) $74.55
<h2>Why?</h2>
To calculate how much does Sonya pay for the four pairs altogether, we need to calculate the original price after the 50% discount and the taxes.
Calculating we have:

We have that before the tax, the price of the shoes was $17.5, then, calculating the price after the taxes, we have:

So, we have that the price after discount and the taxes is $18.637 per each pair of shoes.
Hence, the price for the four pairs of shoes will be:

Have a nice day!
A) |–3| = 3 and –|–4| = –4
It’s the only one that makes sense.
Hope that helps!
Answer:
Step-by-step explanation:
If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant. But maybe you don't know it isn't and it's a "trick" to throw you off. Hmm...
Anyways, the half angle identity for tangent is

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.
If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5. That makes the missing side, by Pythagorean's Theorem, -3. Filling in our formula:
which simplifies a bit to
and a bit more to

Bring up the lower fraction and flip it to divide to get
which of course simplifies to
-3. Choice A.