Answer:
x = 3
Step-by-step explanation:
Solve for x:
1/2 + 1/x = 5/6
Bring 1/2 + 1/x together using the common denominator 2 x:
(x + 2)/(2 x) = 5/6
Cross multiply:
6 (x + 2) = 10 x
Expand out terms of the left hand side:
6 x + 12 = 10 x
Subtract 10 x + 12 from both sides:
-4 x = -12
Divide both sides by -4:
Answer: x = 3
Answer:
Step-by-step explanation:
Just calculate 20% of 78.00 or 78.00x0.20=$15.6
Answer: Measure angle H = 42°
Step-by-step explanation:
"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"
In given we have,
angle E is an exterior angle to triangle DFH
The two non-adjacent angles to angle E are angles D and H
Based on the above rule,
measure angle E = measure angle D + measure angle H
We are given this:
angle E = 87°
angle D = 45°
Substitute with the givens in the above rule and solve for the measure of angle H as follows:
angle E = angle D + angle H
87° = 45° + measure angle H
measure angle H = 87° - 45°
measure angle H = 42°
Hope this helped!
Answer:
60,480 is the correct answer.
Step-by-step explanation:
First of all, let us have a look at the <em>formula of factorial of a number 'n'</em>:

i.e. multiply n with (n-1) then by (n-2) upto 1.
<em>Keep on subtracting 1 from the number and keep on multiplying until we reach to 1.</em>
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So,
can be written as: 
Similarly
can be written as: 
Re-writing
:

Now, the expression to be evaluated:

Answer:
70
Step-by-step explanation:
70 has the greatest absolute value because absolute value is the amount between that number and 0. If 70 is the biggest number the with the biggest absolute value is 70.