Answer:
x = 73
General Formulas and Concepts:
- Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Define equation</u>
(180 - x) + (90 - x) = 124
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 270 - 2x = 124
- Subtract 270 on both sides: -2x = -146
- Divide -2 on both sides: x = 73
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: (180 - 73) + (90 - 73) = 124
- Subtract: 107 + 17 = 124
- Add: 124 = 124
Answer:
52 inches by 29 inches
Step-by-step explanation:
Let one side by 16x and the other side be 9x
We know the diameter is 60 inches
Using the Pythagorean theorem
a^2 + b^2 = c^2
(16x) ^2 + ( 9x) ^2 = 60 ^2
256 x^2 + 81x^2 = 3600
Combine like terms
337 x^2 = 3600
Divide each side by 337
337x^2 /337 = 3600/337
x^2 =10.68249258
Take the square root of each side
sqrt(x^2) =sqrt(10.68249258)
x =3.268408264
The sides are 16x by 9x
16*(3.268408264) =52.29453223 or 52
9 *(3.268408264)= 29.41567438 or 29
Answer:
Step-by-step explanation:
Answer:
7(a +6)
Step-by-step explanation:
7 is a factor of both terms, so we can factor that out.
42 +7a = 7·6 +7·a = 7(6 +a)