Answer:
Step-by-step explanation:
Let the x be the number of hours after noon.
<u>We have the following equation:</u>
- 14.83 + 0.12(x + 3) = 15.33 - 0.15x
- 14.83 + 0.12x + 0.36 = 15.33 - 0.15x
- 0.12x + 0.15x = 15.33 - 15.19
- 0.27x = 0.14
- x = 0.14/0.27
- x ≈ 0.5
True. When the points are plotted on a graph and connected, they pass the vertical line test. No x value is the same.
Since 17 isnt a factor of 42 the only factor is 1
10.
Answer: 42° and 138°
Steps: First find value of x by adding both equations and setting them equal to 180°:
3x + 12x - 30 = 180
15x - 30 = 180
15x = 210
x = 14
Next, put value of x into equations to find the angle:
3x
3(14)
42°
12x - 30
12(14) - 30
168 - 30
138°
11. Answer: 28°
Steps: Complementary angles add up to 90°, so subtract 62° from 90° to find its complementary angle.
90 - 62 = 28
12. Answer: Corresponding angles are congruent.
Answer:
Step-by-step explanation:
Givens
Let the first piece be x
Let the second piece 4x
Let the third piece = 5x
Total length = 40 inches.
Equation
x + 4x + 5x = 40 Combine
Solution
10x = 40 Divide by 10
10x/10 = 40/10
x = 4
Answer
The smallest piece (x) = 4
The middle piece 4x = 4*4 = 16
The largest piece 5x= 5 * 4 = 20
