Both angles need to equal 180 degrees .
Add them together:
2x +10 + 3x-5 = 180
5X +5 = 180
Subtract 5 from each side:
5x = 175
Divide both sides by 5:
X = 175 / 5
X = 35
Now replace X with 35 in each equation:
2x +10 = 2(35) +10 = 70 +10 = 80
3x-5 = 3(35) - 5 = 105 -5 = 100
The answer is A. 80 and 100
Answer:
x = 41/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
7(1x - 3) = 4(x + 5)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Simplify: 7(x - 3) = 4(x + 5)
- Distribute: 7x - 21 = 4x + 20
- Subtract 4x on both sides: 3x - 21 = 20
- Add 21 on both sides: 3x = 41
- Divide 3 on both sides: x = 41/3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 7(1(41/3) - 3) = 4(41/3 + 5)
- Multiply: 7(41/3 - 3) = 4(41/3 + 5)
- Subtract/Add: 7(32/3) = 4(56/3)
- Multiply: 224/3 = 224/3
Here, we see that 224/3 is indeed equivalent to 224/3. ∴ x = 41/3 is a solution to the equation.
And we have our final answer!
Answer:
11- 64 degrees
12- 66 degrees
13- 89 degrees
14- 99 degrees
Step-by-step explanation:
11. 100 + 130 + 66 = 296
360 - 296 = <u>64</u>
12. 103 + 133 + 58 = 294
360 - 294 = <u>66</u>
13. 154 + 88 + 29 = 271
360 - 271 = <u>89</u>
14. 101 + 92 + 68 = 261
360 - 261 = <u>99</u>
hope this helps :)
17.76(5) = 88.15 + 27.52 = 115.67
Answer is A
The answer is
nearest one: 3
