Step-by-step explanation:
the distance of a vertex on the 2 outgoing sides to the touching points with the inscribed circle is the same for both sides.
and that applies to all 3 vertexes.
so, we know for the top left vertex the distance to both touching points is 4.
that means the distance to the touching points from the bottom left vertex is 7-4 = 3.
and that means that the distance to the touching points from the bottom right vertex is 16-3 = 13.
so, x = 13
it is the distance to one of the touching points for the bottom right vertex.
and the perimeter of the triangle is therefore
7 + 16 + (13 + 4) = 40
Answer:
The ranger will need to clear trail for more than 10 2/3 additional hours.
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0) - Parallel lines always have the same slopes
<u>1) Determine the slope (m)</u>
The given line has a slope of -2. Because parallel lines always have equal slopes, we know that the line parallel to this would also have a slope of -2. Plug this into :
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (2,4) to solve for b
Add 4 to both sides to isolate b
Therefore, the y-intercept of the line is 8. Plug this back into :
I hope this helps!
Answer:
-30r + 15
Step-by-step explanation:
