Answer:
27
Step-by-step explanation:
Note that since VX and XZ are both line segments, <VWX and <XYZ both equal 180 (also known as a straight angle). Also, note that the sum of the angles in a triangle are 180 degrees. Now, let’s start.
Finding angles of the triangle:
<WYX = <XYZ - <WYZ = 180 - 4x
<XWY = <XWV - <VWY = 180 - 6x
Using the sum of angles in a triangle and substituting these values in:
180 = <X + <WYX + <XWY = 90 + (180 - 4x) + (180-6x) = 450 - 10x
270 = 10x
<em>27 = x</em>
We are done! I hope this helps! :)
Answer:

Step-by-step explanation:
GIVEN: You draw two cards from a standard
card deck. You replace the first card and shuffle thoroughly before you draw the second.
TO FIND: a) What is the probability that the first card is
b) What is the probability that both cards are
SOLUTION:
Let
and
be two events such that





<h3>

</h3><h3>

</h3>
a)

<h3>

</h3>
b)









c)







d)



![\text{[1-P(A)].[1-P(B)]}](https://tex.z-dn.net/?f=%5Ctext%7B%5B1-P%28A%29%5D.%5B1-P%28B%29%5D%7D)





Answer:
f = 0
x > 2y
x ≤ 8
S ≥ 18
Step-by-step explanation:
Let 'f' represent the number of free throws.
Let 'x' represent the number of 2 - point baskets.
Let 'y' represent the number of 3 - point baskets.
Let S represent the Season high.
1) Ryan says he did not shoot any free throws.
⇒ f = 0
2) 2 - point baskets more than twice the number of 3 - point baskets.
⇒ x > 2y
3) Number of two points is less than or equal to 8.
⇒ x ≤ 8.
4) Last Season high, he had scored 18 points. Note that the problem says, Ryan equaled or bettered than last season high. That means he should got at least 18 points this season. So, the equation would be:
S ≥ 18
(2 + a) = (a + 2) it's commutative property
(a + 2) - 7 = a + (2 - 7) it's associative property
2 - 7 = -5 it's subtraction
Answer: distributive property { a(b + c) = ab + ac }