Answer:
d. 18
Step-by-step explanation:
g(x)=3x-3
3(7)-3
21-3
=18
Answer:

Step-by-step explanation:
<h3>Step 3:</h3>
--------------------(1)
<h3>The next step will be:</h3>
- to find the b² for the expression on the left.
<h3>How to find b²:</h3>
Take the expression

<u>We can also write it as:</u>

According to the formula
, the b of this expression is
. So,
b² will be:

So, we will add
to both sides in Eq. (1)
For STEP 4, the equation will become:

![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Use the Pythagorean theorem:

The length of the hypotenuse is approximately 14.1 in.
The correct answer is C) 58/73.
We first add up the amount of time spent driving:
3 + 1 1/2 + 20 minutes
Changing 20 minutes to a fraction of an hour, 20/60 = 1/3:
3 + 1 1/2 + 1/3
Using the LCD (6),
3 + 1 3/6 + 2/6 = 4 5/6 hrs driving.
Now we find the total time of the trip:
3 + 15 min + 1 1/2 + 1 + 20 min
= 3 + 15/60 + 1 1/2 + 1 + 20/60
= 3 + 1/4 + 1 1/2 + 1 + 1/3
The LCD for this is 12:
3 + 3/12 + 1 6/12 + 1 + 4/12 = 5 13/12 = 6 1/12
We find the ratio of driving to total time, which is (4 5/6)/(6 1/12)
= 4 5/6 ÷ 6 1/12
Converting the mixed numbers to improper fractions,
29/6 ÷ 73/12 = 29/6 × 12/73 = 348/438 = 174/219 = 58/73
Answer:
61°
Step-by-step explanation:
Alright so the total amount of degrees in a 5-sided shape or pentagon is 540°. Since we have four of the five total angles, we can solve for the last one.
Sum of all the degrees of all five angles = 540°
The variable x is representing our last unknown degree.
90° + 107° + 144° + 138° + x° = 540°
Add up all the known degrees and solve for x.
479° + x° = 540°
Subtract 479 on both sides so that we can isolate x.
479° + x° - 479° = 540° - 479°
x° = 61°
So our final answer is 61°