Answer:
x = 30°, y = 39°
Step-by-step explanation:
53 + 58 + y + x = x + 150
=> 53 + 58 + y = 150
=> y = 150 - 53 - 58
=> y = 39°
x + 150 = 180
=> x = 180 - 150 = 30°
Answer:
![\displaystyle m=\frac{-1}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B-1%7D%7B3%7D)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Slope Formula:
![\displaystyle m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
Point (3, 7)
Point (9, 5)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [Slope Formula]:
![\displaystyle m=\frac{5-7}{9-3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B5-7%7D%7B9-3%7D)
- [Fraction] Subtract:
![\displaystyle m=\frac{-2}{6}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B-2%7D%7B6%7D)
- [Fraction] Simplify:
![\displaystyle m=\frac{-1}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B-1%7D%7B3%7D)
Two negatives combined equals a positive, or an addition sign in this case. so t-(-5) is equal to t+5=10. t is equal to 5
(2,3) is your answer for the equation