Lisa loaned John $5000 at an interest rate of 6%. He repaid her $5750 to cover the principal and interest. How long did he borro
1 answer:
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Answer:
21 kilometers
Step-by-step explanation:
Let the height be . Then, the length of the base is
. The formula for the area is of the triangle is given by base*height/2. Therefore, the area of the triangle is equal to
, which is in turn equal to 441. Since
must be positive, then
, meaning that the height is
kilometers.
<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