These two triangles are similar and the conversion factor is 2/3. This can be found by dividing one side length corresponding to the other on the other triangle.
In this case, DF ~ AC
DF = 12
AC = 18
12/18 = 2/3
Knowing this, we can multiply 15 by 2/3 to find the length of DE because side lengths AB and DE are similar.
15 • 2/3 = 10
DE = 10
Answer:
The region between a chord and either of its arcs is called a segment the circle.
Angles in the same segment of a circle are equal.
Step-by-step explanation:
Let bisectors of angles A, B and C of a triangle ABC intersect its circumcircle at D, E and F .
Now from figure,
∠D = ∠EDF
∠D = ∠EDA + ∠ADF
Since ∠EDA and ∠EBA are the angles in the same segment of the circle.
So ∠EDA = ∠EBA
Hence ∠D = ∠EBA + ∠FCA
Again ∠ADF and ∠FCA are the angles in the same segment of the circle.
hence ∠ADF = ∠FCA
Again since BE is the internal bisector of ∠B and CF is the internal bisector of ∠C
So ∠D = ∠B/2 + ∠C/2
Similarly
∠E = ∠C/2 + ∠A/2
and
∠F = ∠A/2 + ∠B/2
Now ∠D = ∠B/2 + ∠C/2
=∠D = (180 - ∠A)/2
(∠A + ∠B + ∠C = 180)
∠D = 90 - ∠A/2
∠E = (180 - ∠B)/2
∠E = 90 - ∠B/2
and ∠F = (180 - ∠C)/2
∠F = 90 - ∠C/2
Answer:
<h3> - 4</h3>
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
you get 150 by taking the product of 50 and 3, this eliminates answers 'a' and 'b'
since the question states the cost per mile driven is $1.50 and 'x' represents miles driven, D is the answer
Answer:
B. Rational
Step-by-step explanation:
Any number which can be represented as a ratio in the form of a fraction is a rational number.
