37+58 = 95
To explain my thought process:
37+58 = 30+50+7+8
30+50=80
7+8=15
80+15=95
Answer:
C. AOE and DOC.
Step-by-step explanation:
AOE and DOC are a pair of vertical angles.
Since quadratic coefient is 1 (term in front of x^2)
take 1/2 of linear cofient (12) and square it
12/2=6, 6^2=36
add that to both sides
x^2+12x+36=-11+36
factor perfect square
(x+6)^2=25
sqrt both sides and take positiv and negative roots
x+6=+/-5
minus 6 both sides
x=-6+/-5
x=-6+5 or x=-6-5
x=-1 or -11
answer is {-11,-1}
Answer: Choice C)
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Work Shown:
Part 1
Part 2
Part 3
This shows the answer is choice C.
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Explanation:
There are a lot of steps, so I broke things up into 3 sections or parts. The idea I'm applying is if the denominator is of the form , then multiplying top and bottom by will rationalize the denominator. This is due to the difference of squares rule (step 3 of part 1). The following step shows squaring a square root has the two cancel out.
From that point, I simplified each square root and factored to cancel out a pair of '4's.
To expand out , we can use either the FOIL method, the box method, or the distribution property. I used the distribution property.
Answer:
1.42 cm
Step-by-step explanation:
2.5 m = 98.4251 inches
98.4251 in / 11.5 in =8.5587
.5587 inches left over =1.42 cm