Answer:
See explanation
Step-by-step explanation:
In the figure below, segment CD is parallel to segment EF, DE is a transversal, then angles DIH and HGI are congruent as alternate interior angles when two parallel lines are cut by a transversal.
Consider triangles DIH and EGH. In these triangles,
as alternate interior angles;
as vertical angles;
because point H bisects segment DE (given).
Thus,
by AAS postulate
Answer:
Step-by-step explanation:
We can obtain that the dimensions of the rectangle are 7 by 5.
Since A = lw, the total area is 35.
6 times 9 = 54 and also 27 times 2 :)
<h3>
Answer: The vertex is located at (2, 2)</h3>
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Explanation:
The general vertex form is
y = a(x-h)^2 + k
When we compare the function your teacher gave you to this template, then we see that
The vertex is therefore (h,k) = (2,2)
The value of 'a' has no role in the vertex's location. This value determines how vertically stretched or compressed the parabola will be. Also, it determines if the parabola opens upward or downward (a > 0 for upward; a < 0 for downward).
Answer:
1071.79 yd³
Step-by-step explanation:
radius r = 16/2 = 8 yd
height = 16 yd
volume = (1/3)×πr²h
= (1/3)×3.14×8²×16
= 1071.79 yd³ (rounded to the nearest tenth)