A block of silver is weighing 8 ounces is worth $104. What is the unit rate for the Value of silver in one ounce
1 answer:
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According to the midsegment theorem, the midsegments are parallel to
and half the length of the opposite side.
The completed statement are as follows;
- Because the slopes of
and
are both<u> -4</u>,
- EF =
and AC =
- Because
=
,
<u />
Reasons:
From the given graph of ΔABC, we have;
Coordinates of the points <em>A</em>, <em>B</em>, and <em>C </em>are; A(-5, 2), B(1, -2), and C(-3, -6)
The coordinates of the point D and E on are; D(-4, -2), and E(-2, 0)
The coordinates of the point F is; F(-1, -4)
Length of EF = √((-1 - (-2))² + (-4 - 0)²) = √(17)
Length of AC = √((-3 - (-5))² + (-6 - 2)²) = √(4 × 17) = 2·√(17)
Therefore, we have;
Because the slope of and
are both , <u>-4</u>,
║
. EF =
, and AC
= ,. Because
=
,
Learn more about midsegment theorem of a triangle here:
The point-slope formula:
We have (-2, 1) and (1, 7).
Substitute: