Answer:
x = 27
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define equation</u>
4x + 10 = 3x + 37
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 3x on both sides: x + 10 = 37
- Subtract 10 on both sides: x = 27
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 4(27) + 10 = 3(27) + 37
- Multiply: 108 + 10 = 81 + 37
- Add: 118 = 118
And we have our final answer!
Answer:
397 feet
Step-by-step explanation:
All you have to do is subtract the feet of Town R from Town M. The equation would look like this.
679 - 282 =397
So Town R is 397 feet higher than Town M.
Hope that helps and have a great day!
Answer:
Each would pay $20.94
Step-by-step explanation:
Step 1: Find the total for the bill including the tip.
The bill is $52.35. To calculate 20% of this, multiply by 0.2 (or 20/100)
The tip is ($52.35)(0.2) = $10.47
Step 2: Add the tip to the total bill.
$52.35 + $10.47 = $62.82
Step 3: Divide the total bill by the number of people splitting the bill, in this case, 3
$62.82/3 = $20.94 per person
The answer should be summer and fall, if that’s not it then it is winter and spring.
Answer:

Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
Find the measure of arc BC
we know that
----> by complete circle
substitute the given values



step 2
Find the measure of angle 2
we know that
The inscribed angle is half that of the arc it comprises.
so
![m\angle 2=\frac{1}{2}[arc\ BC]](https://tex.z-dn.net/?f=m%5Cangle%202%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20BC%5D)
substitute
![m\angle 2=\frac{1}{2}[116^o]=58^o](https://tex.z-dn.net/?f=m%5Cangle%202%3D%5Cfrac%7B1%7D%7B2%7D%5B116%5Eo%5D%3D58%5Eo)