To find x:
ON is parallel to LM
8x - 8 = 7x + 4
-7x -7x
1x - 8 = 4
+8 +8
1x = 12
--- ---
1 1
x = 12
8(12) - 8 = 7(12) + 4
96 - 8 = 84 + 4
88 = 88
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To find y:
NM is parallel to OL
x - 5 = 3y - 6
12 - 5 = 3y - 6
7 = 3y - 6
+6 +6
13 = 3y
--- ---
3 3
13/3 = y
Check:
12 - 5 = 3(13/3) - 6
7 = 13 - 6
7 = 7
Probability is the likelihood or chance that an event will occur. The complement of the probability will be 0.95
<h3>What is probability?</h3>
Probability is the likelihood or chance that an event will occur. Mathematically:
Probability = expected outcome/total outcome
Given that the probability of an event is P(A) = 0.05, the complement will be expressed as:
P'(A) = 1 - P(A)
P'(A) = 1 - 0.05
P' (A) = 0.95
Hence the complement of the probability will be 0.95
Learn more on probability here: brainly.com/question/24756209
Gven the following table, find the rate of change between f(-4) and f(0)
x -4 -2 0 2 4
f(x) -2 -1 0 1 2
A. -2
B. 2
C. -1/2
D. 1/2
we know that
the rate of change is equal to
(f(b)-f(a))/(b-a)
f(b)=f(0)
f(a)=f(-4)
b=0
a=-4
(f(0)-f(-4))/(0+4)
we have that
f(0)=0
f(-4)=-2
substitute
(0+2)/4
2/4
1/2
therefore
<h2>the answer is the option D</h2>
Three quarters is $0.75 three nickels is $0.15 and three pennies is $0.03 add those together and you get $0.93