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.
---
Topic: Algebra I
180- 124= 56
So 56 degrees
Answer:
x = 110°
Step-by-step explanation:
Given that AB = AD then Δ ABD is isosceles and the base angles are congruent, that is
∠ ABD = ∠ ADB = 35°
The sum of the 3 angles in the triangle = 180°, that is
x + 35° + 35° = 180°
x + 70° = 180° ( subtract 70° from both sides )
x = 110°
No, in order for a right triangle to be similar it would need to have the same height and base.
It is x=8 because 13+7=20 and 28-20 would be 8 and that's the missing number.
