Answer:

Step-by-step explanation:



Answer:
x = 24°
General Formulas and Concepts:
<u>Pre-Alg</u>
<u>Geometry</u>
- Definition of a Line: A line is 180°
Step-by-step explanation:
<u>Step 1: Set up equation</u>
x + 156 = 180
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 156 on both sides: x = 24
The scale factor in the question given above is: 2 See the explanation below.
<h3>What is a scale factor?</h3>
In math, the scale factor is the extent or ratio by which a geometrical shape is enlarged or reduced.
<h3>What is the explanation for the above answer?</h3>
We know that:
- The distance from point Q to point A is 1.25
- The distance from point A to point A' is 1.25
Given the above, the distance from point Q to point A' is 2.50. This is double the distance from point Q to point A.
The scale factor is 2.
1.25 + 1.25 = 2.50
2.50 / 1.25 = 2
Learn more about scale factor at;
brainly.com/question/25722260
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Answer:
Step-by-step explanation:
Let x represent the amount invested at 6%. Then the amount invested at 12% is 4x+249. Sherrie's interest is ...
0.06x +0.12(4x +249) = 988.92
0.54x + 29.88 = 988.92
0.54x = 959.04
x = 959.04/0.54 = 1776
4x+249 = 7353
__
Sherrie invested $1776 at 6% and $7353 at 12%.
Answer:
Height = 3.82
Step-by-step explanation:
(3.14)(5)²
(3.14)(25)
= 78.5
300 = 78.5h
300/78.5 = 78.5h/78.5
h = 3.821656051 or approximately 3.82