Answer:
x = 8/3, 2/3
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>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
(x + 1)² - 25/9 = 0
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Addition Property of Equality] Add 25/9 on both sides: (x + 1)² = 25/9
- [Equality Property] Square root both sides: x + 1 = ±5/3
- [Subtraction Property] Subtract 1 on both sides: x = ±5/3 - 1
- Evaluate Addition/Subtraction: x = 8/3, 2/3
Answer: Around 171, more specifically 171.36 if you need a exact number. You can also round it up if you need too.
Step-by-step explanation: 0.72 times 238 = 171.36
Answer:
angle BAC = 50.5°
Step-by-step explanation:
To find the size of angle BAC, we will follow the steps below;
First, we will use Pythagoras theorem to find side AC
from the diagram, AB = 14 cm BC = 17 cm
Using Pythagoras theorem,
AC² = AB² + BC²
= 14² + 17²
=196 +289
=485
AC² = 485
Take the square root of both-side
AC = √485
AC = 22 .023
AC = 22.023 cm
angle <B = 90°
Using the sine rule,
=
A = ?
a=BC = 17 cm
B = 90°
b = AC = 22.023 cm
we can now [proceed to insert the values into the formula and then solve for A
=
=
cross - multiply
22.023× sinA = 17× sin90
Divide both-side of the equation by 22.023
sin A = 17 sin90 / 22.023
sin A = 0.771920
Take the sin⁻¹ of both-side of the equation
sin⁻¹sin A = sin⁻¹0.771920
A = sin⁻¹0.771920
A≈ 50.5°
Therefore, angle BAC = 50.5°
Answer:
In naming a ray, we always begin with the letter of the endpoint (where the ray starts) followed by another point on the ray in the direction it travels. Since the vertex of the angle is the endpoint of each ray and our vertex is , each of our rays must begin with . Only fails to do so.
Answer:
x=1/3
Step-by-step explanation:
3x-1=1-3x
<u>-3x -3x</u>
-1=1-6x
<u>-1 -1</u>
<u>-2</u>=<u>-6x</u>
-3 -3
1/3=x