Answer:
x=45
Step-by-step explanation:
An entire triangle is 180 degrees and you already know that one angle is 90 degrees. 180 - 90 is 90. Now you have the equation 2x=90.
You then divide each side by 2 to get the x by itself which leaves you with x=45.
A probability experiment is conducted in which the sample space of the experiment is S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
Snezhnost [94]
Answer:
The answer is "
"
Step-by-step explanation:
Given set:
![\to F \ or\ G = \{ 5,6,7,8,9,10,11,12\}](https://tex.z-dn.net/?f=%5Cto%20F%20%5C%20or%5C%20%20G%20%3D%20%5C%7B%205%2C6%2C7%2C8%2C9%2C10%2C11%2C12%5C%7D)
In the above-given set, there are 8 elements and 12 possible outcomes so, the equation is:
![\to P( F\ or \ G) = \frac{8}{12}](https://tex.z-dn.net/?f=%5Cto%20P%28%20F%5C%20or%20%5C%20G%29%20%3D%20%5Cfrac%7B8%7D%7B12%7D)
![= \frac{2}{3}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B2%7D%7B3%7D)
by using the general addition Rule:
![\to P(F \cup G) = P(F) +P(G)- P(F \cap G)](https://tex.z-dn.net/?f=%5Cto%20P%28F%20%5Ccup%20G%29%20%3D%20P%28F%29%20%2BP%28G%29-%20P%28F%20%5Ccap%20G%29)
![=\frac{5}{12}+\frac{4}{12}- P(E \cap H)\\\\=\frac{6}{12}+\frac{3}{12}- \frac{1}{12}\\\\=\frac{6+3-1}{12}\\\\=\frac{8}{12}\\\\=\frac{2}{3}\\\\](https://tex.z-dn.net/?f=%3D%5Cfrac%7B5%7D%7B12%7D%2B%5Cfrac%7B4%7D%7B12%7D-%20P%28E%20%5Ccap%20H%29%5C%5C%5C%5C%3D%5Cfrac%7B6%7D%7B12%7D%2B%5Cfrac%7B3%7D%7B12%7D-%20%5Cfrac%7B1%7D%7B12%7D%5C%5C%5C%5C%3D%5Cfrac%7B6%2B3-1%7D%7B12%7D%5C%5C%5C%5C%3D%5Cfrac%7B8%7D%7B12%7D%5C%5C%5C%5C%3D%5Cfrac%7B2%7D%7B3%7D%5C%5C%5C%5C)
The expression is 2 - m/4 + 10, when m = 12, the value is 9. Then the correct option is C.
<h3>What is the linear system?</h3>
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Two less than the quotient of a number and four, increased by ten.
That can be written as in the form of m will be
![\rm 2 - \dfrac{m}{4} + 10](https://tex.z-dn.net/?f=%5Crm%202%20-%20%5Cdfrac%7Bm%7D%7B4%7D%20%2B%2010)
If the value of m is 12, then we have
![\rm 2 - \dfrac{m}{4} + 10\\\\\rm 2 - \dfrac{12}{4} + 10\\\\2- 3 + 10\\\\12 - 3 \\\\9](https://tex.z-dn.net/?f=%5Crm%202%20-%20%5Cdfrac%7Bm%7D%7B4%7D%20%2B%2010%5C%5C%5C%5C%5Crm%202%20-%20%5Cdfrac%7B12%7D%7B4%7D%20%2B%2010%5C%5C%5C%5C2-%203%20%2B%2010%5C%5C%5C%5C12%20-%203%20%5C%5C%5C%5C9)
Thus, the expression is 2 - m/4 + 10, when m = 12, the value is 9. Then the correct option is C.
More about the Linear system link is given below.
brainly.com/question/20379472
I think its vertical angles? you should show the answer options