Answer:
- ΔHJK shows G as the orthocenter
- Show A.F is the median of BC
- 18
Step-by-step explanation:
1) This is a vocabulary question. The <em>orthocenter</em> is the point where the altitudes intersect. Of course, each altitude is a segment from a vertex that is perpendicular to the opposite side of the triangle.
Perhaps it could be useful to remember the prefix ortho- means perpendicular, as in <em>orthogonal</em>. Each altitude is perpendicular to one of the sides of the triangle.
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2) To do this proof, you would find midpoints of segments AB and AC, write the equations of the lines through them from the opposite vertex, then solve those equations to find point G. You would then write the equation for line AG and find its intersection point with segment BC (point F). The last step is to show that point F is the midpoint of BC. (It might be easier to show that midpoint F is on line AG.)
The closest answer choice, though poorly worded, is the last one: show A.F is the median of BC.
(Strictly speaking, a line segment (A.F) is not a median of a line segment (BC), but can be a median of a <em>triangle</em>, or a <em>bisector</em> of a line segment.)
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3) The centroid divides the median into parts with the ratio 2:1. That is, the shorter part differs from the longer one by 2-1 = 1 ratio unit. If those parts differ in length by 6 measurement units, then one ratio unit must be 6 measurement units. The total length of the median is 2+1 = 3 ratio units, or 3×6 measurement units = 18 measurement units.
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<em>Comment on A.F</em>
Brainly thinks the name of the segment starting with A and ending with F is a "bad word" so won't let it be posted.
Divide 15 minutes ÷ 2 1/4 = 6 2/3
divide 25 minutes ÷ 3 3/4 = 6 2/3
They both ran the same amount of time
Izzy ran 6.67 minutes per mile
Julia ran 6.67 minutes per mile
(6.67 is the same as 6 2/3 and i think its mile per minute unless the textbook said it)
I think the statement is missing in the question.
Let's assume it to be :
<span>Describe a situation that can be represented by the expression 4(X-2)
According to that we can say:
A functions is define by Four times the difference of a number X an</span><span>d</span> two.
Hope it helps.
<h3>
Answer: 19.1</h3>
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Work Shown:
tan(angle) = opposite/adjacent
tan(C) = AB/BC
tan(theta) = x/BC
tan(23) = (8.1)/BC
BC*tan(23) = 8.1
BC = (8.1)/tan(23)
BC = 19.0824041631723
BC = 19.1
In this case, rounding to 3 sig figs means we round to the nearest tenth.
Make sure your calculator is in degree mode.
1000 IS THE ANSWER EJN3;RVLGBPOIJGNTIOG;K
