Answer:
Linear
Step-by-step explanation:
A ratio shows us the number of times a number contains another number. Caitlin is right.
<h3>What is a Ratio?</h3>
A ratio shows us the number of times a number contains another number.
The ratio of the ages of Mandy and Sandy is 2:5. Therefore, the ratio will be,
M/S = 2/5
M = 2S/5
After 8 years, their ages will be in the ratio 1:2, therefore,
(M+8)/(S+8) = 1/2
2M + 16 = S + 8
2M - S = -16 + 8
Substitute the value of M,
2(2S/5) - S = -8
-0.2S = -8
S = 40
Now, if we substitute the value of S in the first ratio,
M/S = 2/5
M/40 = 2/5
M = 16
Now, if we take the difference in their ages the difference will be 24(40-16).
Since the difference is 24, we can conclude that Caitlin is right.
Hence, Caitlin is right.
Learn more about Ratios:
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Set up the equation:
Distribute 2x to both of the terms in parentheses:
The answer is
B.
Answer:
Step-by-step explanation:
The given triangle ABC is an obtuse triangle because one of its angles it greater than 90 degrees. The sum of the angles in a triangle is 180 degrees. This means that
Angle A + Angle B + Angle C = 180 degrees
Looking at the triangle,
Angle A = 30 degrees
Angle C = 20 degrees
Therefore,
30 + angle B + 20 = 180
Angle B + 50 = 180
Subtracting 50 from the left hand side and the right hand side of the equation, it becomes
Angle B + 50 - 50 = 180 - 50
Angle B = 130 degrees
