Answer:
x = 13
Step-by-step explanation:
Since the two given angles are vertical angles, we know (5x) = 65.
Divide both sides by 5 : <u>5x = 65</u> and we get x = 13
5
I cant help i just needa answer something before i cant ask anything else
all of those r correct :)
Answer:
B. x = -1 ± i
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Factoring
- Quadratic Formula:
![\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
<u>Algebra II</u>
- Imaginary Numbers: √-1 = i
Step-by-step explanation:
<u>Step 1: Define</u>
x² + 2x = -2
<u>Step 2: Identify Variables</u>
- Rewrite Quadratic in Standard Form [Addition Property of Equality]: x² + 2x + 2 = 0
- Break up Quadratic: a = 1, b = 2, c = 2
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute in variables [Quadratic Formula]:
![\displaystyle x=\frac{-2 \pm \sqrt{2^2-4(1)(2)}}{2(1)}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B-2%20%5Cpm%20%5Csqrt%7B2%5E2-4%281%29%282%29%7D%7D%7B2%281%29%7D)
- [√Radical] Evaluate exponents:
![\displaystyle x=\frac{-2 \pm \sqrt{4-4(1)(2)}}{2(1)}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B-2%20%5Cpm%20%5Csqrt%7B4-4%281%29%282%29%7D%7D%7B2%281%29%7D)
- Multiply:
![\displaystyle x=\frac{-2 \pm \sqrt{4-8}}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B-2%20%5Cpm%20%5Csqrt%7B4-8%7D%7D%7B2%7D)
- [√Radical] Subtract:
![\displaystyle x=\frac{-2 \pm \sqrt{-4}}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B-2%20%5Cpm%20%5Csqrt%7B-4%7D%7D%7B2%7D)
- [√Radical] Factor:
![\displaystyle x=\frac{-2 \pm \sqrt{-1}\sqrt{4}}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B-2%20%5Cpm%20%5Csqrt%7B-1%7D%5Csqrt%7B4%7D%7D%7B2%7D)
- [√Radicals] Simplify:
![\displaystyle x=\frac{-2 \pm 2i}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B-2%20%5Cpm%202i%7D%7B2%7D)
- Factor:
![\displaystyle x=\frac{2(-1 \pm i)}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B2%28-1%20%5Cpm%20i%29%7D%7B2%7D)
- Divide:
![\displaystyle x = -1 \pm i](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%20%3D%20-1%20%5Cpm%20i)
Answer:2516 pounds
Step-by-step explanation:
find the difference in gallons and the difference in the weights
46 - 14 = 32 gallons
2399 - 2191 = 208 pounds
so 32 gallons of gas weighs 208 pounds
find weight per pound: 208 pounds / 32 gallons = 6.5 pounds per gallon
round to 6.5 pounds per gallon
64 gallons - 46 gallons = 18 gallons
18 gallons x 6.5 pounds per gallon = 117 pounds
2399 + 117 = 2516 weight of plane with 64 gallons