Answer:
ABC is an isosceles triangle.
Because it consists of two congruent triangles created by CD, side AC = CB, making it an isosceles triangle.
Step-by-step explanation:
I can conclude that triangle ABC is an isosceles triangle.
Perpendicular means intersecting at 90°. Bisector means intersecting at the midpoint, halfway between the two ends.
Since CD is dropped from vertex C and is a perpendicular bisector of AB, angle C is also bisected.
Therefore angle C for both triangles CDA and CDB is of equal measure.
We know angle D for both triangle CDA and CDB is of equal measure, 90°, because CD is a <em>perpendicular </em>bisector of AB.
The two triangles also share the same side CD.
Triangles CDA and CDB are congruent for having 2 equal angles and 1 equal side (ASA property).
Since they are congruent, AD = AB and AC = CB. Therefore triangle ABC is an isosceles triangle.
Answer:
`2=3 1=4
Step-by-step explanation:
hope this helps
<h2>It takes 3 hours to empty the tank when the pumping rate is 180 gallons per hour.</h2>
Step-by-step explanation:
The time t (in hours) that it takes a pump to empty a tank of water varies inversely with the pumping rate r (in gallons per hour).
where k is a constant.
It takes 9 hours to empty a tank of water when the pumping rate is 60 gallons per hour.
We need to find how long does it take to empty the tank when the pumping rate is 180 gallons per hour ( r = 180)
We have
It takes 3 hours to empty the tank when the pumping rate is 180 gallons per hour.
Answer:
-5x - 16y - 24z
Step-by-step explanation:
5x - 2y - 6z - 10x - 14y - 18z
5x - 10x - 2y - 14y - 6z - 18z
-5x - 16y - 24z
<span>A and b form true proportions.</span>