Answer:
The largest integer value that makes the inequality true is 9.
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Terms/Coefficients
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
1x - 8 < 2x + 1
<u>Step 2: Solve for </u><u><em>x</em></u>
- Simplify: x - 8 < 2x + 1
- [Subtraction Property of Equality] Subtract <em>x</em> on both sides: -8 < x + 1
- [Subtraction Property of Equality] Subtract 1 on both sides: -8 < x
- Rewrite: x > -8
∴ we see that any number <em>x greater than -8</em> would work as a solution to the inequality. That would mean the next largest integer, 9, would be our answer.
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Topic: Algebra I
Answer:
<h2>x = 20</h2><h2 />
Step-by-step explanation:
∠VRW and ∠TRS form a pair of vertical angles then they are congruent
therefore
3x = x + 40
⇔
2x = 40
⇔
x = 20
Answer:
Step-by-step explanation:
1st . 1.3^2= 1.69
1.4^2= 1.96
It's not bettween 1.3 & 1.4
2. 1.4^2=1.96
1.5^2= 2.25
it's betteen 1.4 & 1.5
3 . 1.4 & 1.5 so it's eqaul 1.4
Answer:
D is the equation of the circle
Answer: See below
Explanation:
Find the area of circle:
A = 3.14 x 5^2
A = 3.14 x 25
A = 78.5 cm^2
Find the area of rectangle:
A = 3 x 4
A = 12
Find area of shaded region:
A(shaded) = A(circle) - A(rectangle)
A = 78.5 - 12 = 66.5 cm^2