Answer:
<h2>x = 117°</h2>
Step-by-step explanation:
We know:
The sum of the quadrilateral angles measures 360°.
Therefore we have the equation:
The sum of angles x and D is equal to 360°. Therefore we have the other equation:
From (1) and (2) we have:
Answer: it will take 9 hours.
Step-by-step explanation:
The rain is falling at the rate of 1.5 inches per hour. This means that the height of water in the barrel is increasing in arithmetic progression.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 18 inches
d = 1.5 inches
The expression becomes
Tn = 18 + 1.5(n - 1)
For the number of hours it would take to collect 30 inches of rain in the barrel, Tn = 30
Therefore,
30 = 18 + 1.5(n - 1)
1.5(n - 1) = 30 - 18
1.5(n - 1) = 12
n - 1 = 12/1.5 = 8
n = 8 + 1
n = 9
Answer:
option D is the correct answer.
Step-by-step explanation:
Two ratios that are equivalent are the same in value. We call these equivalent ratios. To find an equivalent ratio multiply or divide both of the numbers by a common number (or same number), this would be the exact same when finding equivalent fractions as well.
the gcf is product of gcf each factor,
gcf(40a³b,24a³b⁵)
= gcf(40,24)•gcf(a³,a³)•gcf(b,b⁵)
= 8a³b