Answer:
a = 20
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
8a - 15 - 6a + 3a = 85
<u>Step 2: Solve for </u><em><u>a</u></em>
- Combine like terms: 5a - 15 = 85
- Isolate <em>a</em> term: 5a = 100
- Isolate <em>a</em>: a = 20
<em>Question:</em>
<em>Daredevil Danny was cliff jumping. He jumped off a cliff that was 14.2 meters above the surface of the water. At the end of his jump, Danny was 2.3 meters below the surface of the water.
</em>
<em>The following equation describes this situation 14.2 + (-16,5) = -2.3
.</em>
<em>What does -16.5 tell us?</em>
<em></em>
Answer:
The displacement between his current position and his initial position
Step-by-step explanation:
Given
Required
What does -16.5 represents?
<em>To understand this, we need to first calculate the displacement between his initial and final position</em>
<em></em>
<em>So: -16.5m is the total displacement from the start position (i.e. off the cliff) and current position (beneath the water surface)</em>
Since <A = <D and <B = <E, it must be true that the third angles <C = <F (the triangles are similar).
If <C = x and <F = 2x-30 then you need to find x for which <C = <F is true:
x = 2x-30
and that holds for x=30
So m<C=30 degrees
Answer:
11.05
Step-by-step explanation:
2x-5=18
2x+5=23
2x/2=2/23
x=11.05