SSS is side side side so all the sides have to be congruent for the triangles to be congruent.
SSA is side side angle so two sides and an angle needs to be congruent for the triangles to be congruent.
SAS is side angle side so two sides and an included triangle need to be congruent for the triangles to be congruent.
Hope that helps:)
The probability to choose letter n is

. After drawing letter n there left 25 letters and the probability to choose the letter w is

. After drawing two letters n and w there left 24 letters and then the probability to choose letter b is

. After drawing three letters n, w and b there left 23 letters, so the probability to choose letter t is

.
Using the product rule for probabilities, you can obtain that

.
Given:
There are given the quadratic equation:

Explanation:
To find the value of x by using completing the square, first, we need to subtract 59 on both sides of the given equation:
So,
From the given equation:

Now,
Take half of the x term and square it:
So,
From the x term,

Then,
Add 64 on both sides of the above equation.
So,

Hence, an option first is correct:

Now,
From the above square:
![\begin{gathered} (x+8)^2=5 \\ x+8=\pm\sqrt[]{5} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%28x%2B8%29%5E2%3D5%20%5C%5C%20x%2B8%3D%5Cpm%5Csqrt%5B%5D%7B5%7D%20%5Cend%7Bgathered%7D)
Then,
Subtract 8 from both sides of the equation;;
So,
![\begin{gathered} x+8=\pm\sqrt[]{5} \\ x+8-8=\pm\sqrt[]{5}-8 \\ x=\pm\sqrt[]{5}-8 \\ x=\sqrt[]{5}-8,\pm\sqrt[]{5}-8 \\ x=-5.7639,-10.236067 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%2B8%3D%5Cpm%5Csqrt%5B%5D%7B5%7D%20%5C%5C%20x%2B8-8%3D%5Cpm%5Csqrt%5B%5D%7B5%7D-8%20%5C%5C%20x%3D%5Cpm%5Csqrt%5B%5D%7B5%7D-8%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B5%7D-8%2C%5Cpm%5Csqrt%5B%5D%7B5%7D-8%20%5C%5C%20x%3D-5.7639%2C-10.236067%20%5Cend%7Bgathered%7D)
Final answer:
Hence, the value of x is shown below:
Answer:
112 yd. cubed
Step-by-step explanation: