Answer:
Step-by-step explanation:
The <em>correct answers</em> are:
A) circumcenter
B) incenter
C) centroid
D) orthocenter.
Explanation:
These are all definitions of these terms.
The circumcenter is defined as the point of intersection of the perpendicular bisectors.
The incenter is defined as the point of intersection of the angle bisectors.
The centroid is defined as the point of intersection of the medians.
The orthocenter is defined as the point of intersection of the lines containing the altitudes.
Answer:
26.0 cm
Step-by-step explanation:
Given quadrilateral ABCD with diagonal BD forming triangles ABD and BCD, and angles A=90°, C=52°, ADB=35°, and CBD=52°, you want the length of CD to 3 significant figures.
<h3>Law of Sines</h3>
The law of sines tells you the relation between sides and opposite angles is ...
a/sin(A) = b/sin(B) = c/sin(C)
This lets us write two proportions that can be solved for the measure of CD.
In triangle ABD:
BD/sin(A) = AB/sin(D)
BD = AB·sin(90°)/sin(35°) = 12 cm/sin(35°) ≈ 20.921 cm
In triangle BCD:
CD/sin(B) = BD/sin(C)
CD = BD·sin(B)/sin(C) = 20.921 cm·sin(102°)/sin(52°) ≈ 25.969 cm
The length of CD is about 26.0 cm.
Answer : A Eugene Talmadge
An interger is a whole number that can be positive or negative