I believe the GCF for the park 4 and 49 is 1.
AD || BC and BD is the transversal,
Therefore, angle DBC = angle ADB = 42° [alternate angles]
AD || BC and BD is the transversal,
angle BAD + angle ABD + angle DBC = 180° [co-interior angles]
or, 106°+ angle ABD + 42° = 180°
or, 148° + angle ABD = 180°
or, angle ABD = 180°-148° = 32°
Therefore, angle ABC = (32+42)° = 74°
AB||CD and BC is the transversal,
angle ABC + angle BCD = 180° [co-interior angles]
or, 72+2x+12 = 180
or, 84+2x = 180
or, 2x=180-84 = 96
or, x = 48
Answers: a)48°
b)42°
c)72°
Answer:
The old fish tank hold <u>18.84 cubic feet</u> of water.
Step-by-step explanation:
Given:
An old fish tank in the form of a circular cylinder and it is 2 feet in diameter and 6 feet tall.
Now, to find the cubic feet of water the fish tank hold.
Dimensions of old fish tank are:
<em>Diameter is 2 feet so. we find the radius first.</em>
Radius (
) = 
Height (
) = 
Now, to get the cubic feet off water the tank hold we put formula:
<u><em>(Taking the value of π as 3.14.)</em></u>

Therefore, the old fish tank hold 18.84 cubic feet of water.
Answer:
x-intercept = 3.6
y-intercept = -1.2
Step-by-step explanation:
Answer:
2006 years old.
Step-by-step explanation:
If it had 50% of its carbon-14 it would be 5730 years old.
Since it has 65% left it is younger than 5730 years.
So it is (1 - 0.65) * 5730
= 2005.5 years old.