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.
120/18=6.6
Tommy would need about 7 packets of seed packets
The y-value increases by 4 when the x-value increases by 2, so the slope is
... 4/2 = 2
Your equation for the line with slope m through point (h, k) is
... y - k = m(x - h)
and you have m = 2, (h, k) = (-6, 6)
Filling in those values gives
... y - 6 = 2(x - (-6))
Answer:
Height: 48
Base: 34
Step-by-step explanation:
The formula for a triangle is 1/2(base)(height)
1/2(3x+10)(6x) = 816
18x² + 60x = 1632
18x² + 60x - 1632 = 0
Then, we use the Quadratic formula
x = (-60 ± √3600 + 117,504)/36
x =( -60 ± 348/36)
x = 288/36
x = 8
3(8) + 10
= 34
6(8) = 48
Therefore the dimensions are:
Height: 48
Base: 34
