Answer: Choice C) 115 degrees
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Explanation:
The three angles are 42, 73 and 65 degrees. Let's call them x,y, and z respectively
x = 42
y = 73
z = 65
To find an exterior angle for x, we subtract the given angle x from 180
180-x = 180-42 = 138
The exterior angle adjacent to angle x is 138 degrees. This isn't listed so we move on
Do the same for y
180-y = 180-73 = 107
This isn't listed either. So we move on
Repeat for angle z
180-z = 180-65 = 115
This is listed as choice C. That's why choice C is the answer
The figure is missing. There are several problems with same wording but different numbers
Here, we can use:
- Horizontal distance: 258 feet
Answer:
- Slope = 56.0 ft / 258 ft ≈ 0.217
Explanation:
The <em>slope</em> measures how the rate of change of the vertical distance (vertical fall) with respect to the horizontal distance.
There are several forms to express this with words, which represent the same formula. Here are some of them:
- Slope = rise / run
- Slope = vertical change / horizontal change
- Slope = change in y / change in x
- Slope = Δy / Δx
- Slope = (y₂ - y₁) / (x₂ - x₁)
As said, all those forms mean the same; they are equivalent.
Here, we have vertical fall = 56.0 feet, and horizontal distance = 258 feet, and by specifications of the problem (in the hint) the slope must be positive. Thus, you get:
- Slope = vertical fall / horizontal distance = 56.0 feet / 258 feet ≈ 0.217
Answer:
x ≤1363
Step-by-step explanation:
2,000-637 = 1363
x ≤1363
Annual premium = 30 * 28.23 = $846.90
Answer:
Lines 1 and 4 are parallel.
