Answer:
Step-by-step explanation:
<u>The triangle base has:</u>
<u>Area of the base:</u>
<u>The volume:</u>
The slope of AC is -0.4
Proof:
In triangles ABC and DBE,
∠DBE is common to both triangles.
AB = 2DB (D is the midpoint of the interval AB)
Also, BC = 2BE (E is the midpoint of the interval BC)
Thus triangles ABC and DBE are similar in the ratio 2:1
Since, they are similar, ∠BDE must equal ∠BAC (corresponding angles in similar triangles)
If ∠BDE = ∠BAC, DE must be parallel to AC (corresponding angles are equal along parallel lines)
Thus, the slope of AC = the slope of DE
Thus, the slope of AC is -0.4
Answer:
Almond: $7/4 per pound
Jelly Bean: $ 11/4 per pound
Step-by-step explanation:
A: almond
J: jelly bean
3A + 5J = 19 .... multiply 9 each side
27A + 45J = 171 .....(1)
9A + 7J = 35 .....multiply 3 each side
27A + 21J = 105 ....(2)
(1) - (2) 24J = 66
J = 66/24 = 11/4
3A + 5 x 11/4 = 19
3A = 21 / 4
A = 7/4
Answer:
-4t
Step-by-step explanation:
9-t-3(t+3)
use distributive property and simplify
= 9-t-3t-9
= -4t