Answer:
The steps to construct a a line parallel to another line from a point includes
1) From the given line draw a transversal through the point
2) With the compass, copy the angle formed between the transversal and the given line to the point P
3) Draw a line through the intersection of the arcs of the angle construction to get the parallel line through the point P
Step-by-step explanation:
Answer:
y = (1/3)x + 7
Step-by-step explanation:
The general structure form of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
The slope of a perpendicular line is the opposite-signed, reciprocal of the original line's slope. Therefore, if the slope of the original line is m = -3, the new slope is m = 1/3.
The y-intercept can be found by plugging the new slope and the values from the point (-3, 6) into the slope-intercept form equation.
m = 1/3
x = -3
y = 6
y = mx + b <----- Slope-intercept form
6 = (-3)(1/3) + b <----- Insert values
6 = -1 + b <----- Multiply -3 and 1/3
7 = b <----- Add 1 to both sides
Now, that you have the slope and y-intercept, you can construct the equation of the perpendicular line.
y = (1/3)x + 7
The surface area of the rectangular prism with the dimensions that are stated is: 384 in.²
<h3>What is the Surface Area of a Triangular Prism?</h3>
Surface area = perimeter of base × height of prism + 2(base area)
= (s1 + s2 + s3)L + 2(1/2bh)
Given the following:
- side of base (s1) = 6 in.
- side of base (s2) = 8 in.
- side of base (s3) = 10 in.
- Length of prism (L) = 14 in.
- Triangular base length (b) = 6 in.
- h = 8 in.
Surface area = (6 + 8 + 10)14 + 2(1/2 × 6 × 8)
Surface area = 384 in.²
Learn more about the surface area of a rectangular prism on:
brainly.com/question/1310421
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Answer:
10
Step-by-step explanation:
If you count ten seconds before the next thunder/lightning, then divide by 5, you'll get 2.
2=2 miles
Answer:
24
Step-by-step explanation:
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