Answer:
x ≈ 5.89
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra II</u>
- Exponential to Logarithmic:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
0.77 = log(x)
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Equality Property] Raise both sides to the 10th power:

- Simplify:

- Evaluate:

Two angles are supplementary when they <span>add up to 180 degrees.
x = </span><span>smaller angle
</span>2x+3 =<span> larger angle
x + 2x + 3 = 180
3x = 180 - 3
3x = 177
x = 177/3
x = 59</span>° ← smaller angle
2x + 3 = 2*59 + 3 = 121° ← larger angle
Answer:
A. x < 6 and x > - 28
Step-by-step explanation:
We have been given the following inequality;
| x+11 | < 17
We can replace the absolute value function by re-writing the inequality as;
-17< x+11<17
subtract 11 from both sides;
-17-11<x+11-11<17-11
-28<x<6
splitting this we have;
x<6
x>-28
Answer:
Adding the 2 equations.
Step-by-step explanation:
Add the two equations:
2x+y+(x-y)=5+1
2x+x+y-y=6
3x=6