Answer:
b=14
Step-by-step explanation:
the two labeled angles are vertical angles. according to the vertical angles theorem, they must be equivalent. therefore, we can set them equal to each other and solve.
5b=b+56
4b=56
b=14
14÷0.50
=<u>28</u>
Hope this helped you- have a good day bro cya)
A perfect square must be hidden within all of those radicands in order to simplify them down to what the answer is.

.

.

. The rules for adding radicals is that the index has to be the same (all of our indexes are 2 since we have square roots), and the radicands have to be the same. In other words, we cannot add the square root of 4 to the square root of 5. They either both have to be 4 or they both have to be 5. So here's what we have thus far:

. We can add

and

to get

. That means as far as our answer goes, A = 72 and B = 4, or (72, 4), choice a.
The answer is 48 x to the 5 y to the 3
Answer:
3.5 units
Step-by-step explanation:
Because ΔPQT is 45-45-90, QT = PQ√2. Therefore, <em>QT is 2</em>.
<em>RS is also 2</em> because all sides of a square are congruent.
Knowing this, we can use the pythagorean theorem to find SU.
<em>RS² + SU² = RU² -> 2² + SU² = 4² -> 4 + SU² = 16 -> SU² = 12</em>
So, SU = √12 ≈ 3.5 units