Please help it’s due today!!!
1 answer:
Answer:
(a.): m∠ ACB = 40°; (b.): m ∠CBA = 25°; (c.): m ∠CAB = 115°
Step-by-step explanation:
Because Lines AB and DE are parallel, we can use the angle relationships to find the angles.
(For context of the problem, we can label the 40° angle as ∠C and the 155° as ∠B)
(a.) Angles C and ACB are vertical angles, which means they're congruent. Thus m ∠ACB = 40°.
(b.) AB is a straight line and angles B and CBA are supplementary angles. This means their total sum is 180°. We need to subtract angle B from 180 to find m ∠CBA:
(c.) We know that the sum of all the angles is 180°. Thus, we can subtract the sum of angles CBA and CBA from 180 to find the m ∠CAB:
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1 gram left
0.3 grams left
half lives are normally written in years
it goes likt this
A=final amount
P=initila amount
t=time elapsed
h=time half life is (same units as time)
let's use days as the units of time
we are given
initial amount=1gram
final amount=0.3gram
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so
solve for h
take the ln of both sides
times both sides by h
divide both sides by ln(0.3)
use calculator
h=2.30287
3 sig figs
h=2.303 days