The easiest variable you can solve for first is "z". Knowing that opposite angles of a quadrilateral inscribed in a circle are supplementary, subtract 93 from 180 to get z.
Z should equal 87.
The next variable we can solve for is "x". We know that inscribed angles are half the measure of their intercepting arc, so we know 93 is half of (112 + x). The equation would look like this:
93= (112 + x)/2
Multiply both sides by 2
186 = 112 + x
Subtract 112 from both sides
74 = x
Now we can apply the same method we used to find "x" to find y. Set up an equation like this:
80 = (y + x)/2
Substitute the value of x in
80 = (y + 74)/2
Multiply both sides by 2
160 = y + 74
Subtract 74 from both sides
86 = y
Hope this helps!
B/C = K/L because they are similar
Answer:
=4/13
Step-by-step explanation:
There are 13 hearts in a deck
4 jacks
but 1 is the jack of hearts so we don't double count it
13+4-1 = 16
P( heart or a jack) = jack or heart/ total
= 16/52
=4/13
W: (5,9)
X: (7,8)
Y: (9,2)
Z: (2,5)
hope this helps! tell me if i got anything wrong!
