51 + 3x+5 = 107
Simplify the left side:
3x + 56 = 107
Subtract 56 from both sides:
3x = 51
Divide both sides by 3:
x = 51 / 3
x = 17
Angle F and the outside angle of 107, need to equal 180 degrees.
F - 180 - 107 = 73 degrees.
The answer is a = ![\frac{4}{-3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B-3%7D)
Step-by-step explanation:
<em>1. Convert the mixed fraction to an improper fraction</em>
To find the numerator, multiply the denominator by the whole number and add the numerator to it.
The denominator remains the same.
So, 2
will be ![\frac{8}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B3%7D)
<em>2. Now the equation is,</em>
a -
a =
+
a
<em>3. Take LCM on both sides. </em>
For the left side, multiply the first fraction by
and multiply the second fraction by ![\frac{2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B2%7D)
a -
a = ![\frac{10+8a}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B10%2B8a%7D%7B3%7D)
<em>4. Solve by making a the subject</em>
= ![\frac{10+8a}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B10%2B8a%7D%7B3%7D)
= ![\frac{10+8a}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B10%2B8a%7D%7B3%7D)
=10+8a
= 10 + 8a
a = 2(10 + 8a)
a = 20 + 16a
a-16a = 20
-15a = 20
a = ![\frac{20}{-15}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B-15%7D)
a = ![\frac{4}{-3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B-3%7D)
Therefore, the answer is a = ![\frac{4}{-3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B-3%7D)
Keyword: Equations
Learn more about equations at
#LearnwithBrainly
Answer:
6 hours
Step-by-step explanation:
For Bob
12 hours = 1 fence
1 hour = 1/12 fence
Together Bob and Jen
4 hours = 1 fence
1 hour = 1/4 fence
Now, for Jen:
1 hour = 1/4 - 1/12= 3/12 - 1/12 = 2/12=1/6
Find the amount of time Jen will need:
1/6 fence = 1 hour
1 fence = 6 hour
Answer:
First bank last function
Second blank, the middle function
Third blank, middle function
Fourth blank, first function