Answer:
x=1
Step-by-step explanation:
6^2x- 3 = 6^-2x+1
Since the bases are the same, the exponents are the same
2x-3 = -2x+1
Add 2x to each side
2x-3+2x = -2x+1+2x
4x-3 = 1
Add 3 to each side
4x-3+3 = 1+3
4x = 4
Divide each side by 4
4x/4 = 4/4
x=1
Step-by-step explanation:
Since , internal sum of angle of triangle is 180°
So,
66 + x +49 + x+83 = 180
or, 198 + 2x = 180
or, 2x = 180 -198
or, 2x = -18
hence, x = - 9
Now angle A = x + 49
= (-9) + 49
= 40
<u>Hence </u><u>measure</u><u> </u><u>of </u><u>angle </u><u>A </u><u>is </u><u>4</u><u>0</u><u>°</u><u>.</u>
Answer:
![\displaystyle m=\frac{-2}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B-2%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)
- Reading a Cartesian plane
- 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>
<em>Find points from graph</em>
Point (-3, 1)
Point (3, -3)
<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{-3-1}{3+3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B-3-1%7D%7B3%2B3%7D)
- [Fraction] Subtract/Add:
![\displaystyle m=\frac{-4}{6}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B-4%7D%7B6%7D)
- [Fraction] Simplify:
![\displaystyle m=\frac{-2}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B-2%7D%7B3%7D)
The answer is $162 for 9 tickets
So 160% by 100/(100-20) = 160% * 100/80
= 160% * 5/4
= 200%