Zac is 18 years old. The ratio of Zac's age to Ed's age is 2:1. Tim's age is 2/3 Zac's age. How old is Tim?
2 answers:
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Answer:
-1
Step-by-step explanation:
The common difference is the constant amount of change between the numbers in an arithmetic sequence.
To find the common difference, you take the last term and subtract it by the previous term.
<h3>Answer: </h3><h3>Yes, the triangles are similar</h3><h3>AC = 6</h3>
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Explanation:
Focus on triangle ABC. Let's find the missing angle
A+B+C = 180
113+B+22 = 180
B+135 = 180
B = 180-135
B = 45
Between the triangles, have two pairs of angles that are congruent
A = D = 113
B = E = 45
Which is enough to prove the triangles are similar through the angle angle (AA) similarity theorem. This must mean that C = F = 22
Since we have A pair with D, and B pair with E, this means that
The order of the letters is important so we know how the angles pair up. The first letters pair up together, the second letters pair up, and so on.
Consequently, this means sides BC and EF pair up and AC and DF pair up
We can then say...
BC/EF = AC/DF
18/12 = x/4
18*4 = 12*x
72 = 12x
12x = 72
x = 72/12
x = 6
AC = 6