Answer:
The figure with the triangle ABC and the correct statement, along with the answer choices, is attached.
As per it, the answer is: <u>The length of DC is 28 </u>
Explanation:
From the figure and the information that segment AB = segment AC, you know that the base angles of the isosceles triangle ABC are B and C and they are congruent.
The small triangles BED and CFD have two pairs of congruent angles (the angle B is congruent to angle D, and the angle BED is congruent to angle DFC), so triangles BED and CFD are similar.
The similarity of those two triangles leads to the following proportional relation
And the ratio DE to DF is given as 5 : 7; thus:
It is also given that segment BC = 48.
From the figure:
Hence, you have these two equations:
Where the two unknowns are DB and BC.
To facilitate operations, make DC = x, which means that DB = 48 - x, and the resultant equation is:
Solve:
Therefore, length of segment x = DC = 28.
Answer:
-320000
Step-by-step explanation:
Given
Lost Land = 80,000 acres yearly
Duration 4 years
Required
The total change
Represent the total change with y;
y is calculated as thus;
<em>Hence, a total of 320000 acres were lost during the period</em>
<em><u>Solution:</u></em>
<em><u>The equation of a circle is given as:</u></em>
Where,
(a, b) is the centre of the circle
r is the radius
We have the centre of the circle (-27, 120)
Therefore,
a = -27
b = 120
Given that, it passes through origin. which means, (x, y) = (0, 0)
Substitute (a, b) = (-27, 120) and (x, y) = (0, 0) in eqn
Substitute = 15129 and (a, b) = (-27, 120) in eqn
Thus the equation of circle is found