Alex's favorite number is 175% of Winnie's favorite number. Winnie's favorite number is 48 less than Alex's favorite number. Wha
1 answer:
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Answer:
Step-by-step explanation:
To start calculating, we first need to make some proof.
Firstly, since AB = AC, we know that ΔABC is isosceles, which means that ∠ABC = ∠ACB.
Now, looking only to ΔBDE and ΔCDF, we can see that they are similar, because the two of its angles are congruent:
∠BED=∠CFD
∠DBE=∠DCF
To make it easier to visualize which are the corresponding vertexes, we can draw them like this:
And we need to remember that BC is 24, so:
BD+CD=24
Since the triangles are similar, their corresponding sides have constant ratio, which we can calculate from the corresponding sides DE and CF:
This ratio is the same for the other corresponding sides, so we can apply that for BD and CD:
Thus, the measure of CF is approximately 13, alternative D.
Given:
The triangle ABC rotated 270 degrees clockwise.
The rule of rotation is
To find:
The coordinates of point B after the given rotation.
Solution:
From the given graph, it is clear that the coordinates of point B are (4,4).
The given rule of rotation is:
Using this rule, we get
The coordinates of point B after the given rotation are (-4,4).
Therefore, the correct option is C.