<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
Answer: V= 4500m^3
Explanation:
V= length x width x height
V = 600 x 3 x 2.5
V = 600 x 7.5
V = 4500
Answer:
The answer is 10
I hope this helped and please mark me as brainliest!
Answer:
f(x) = x² + 2x + 1
Step-by-step explanation:
you know how to multiply 2 expressions ?
let's say in general we have
(a + b)(c + d)
you take one part of one expression and multiply it with all parts of the other expression, then you take the second part of the first expression and multiply it with all parts of the other expression, then a potential third part, then a fourth part and so on, and you add all these things together (well, depending on the actual signs, of course).
so, we get for this simple generic example
a×c + b×c + a×d + b×d
now we use that understanding for our question here.
(x+1)(x+1) = x×x + 1×x + x×1 + 1×1 = x² + x + x + 1 = x² + 2x + 1
Answer: 156 miles
Step-by-step explanation:
Given, A group of cyclists went bike riding during a 7-day vacation.
Total distance they biked in first three days = 131 miles
Total distance they biked by the end of the vacation ( i.e. in 7 days ) = 287 miles
Then, the total distance they biked in last four days would be=
(Total distance they biked in 7 days ) - (Total distance they biked in first 3 days )
= 287 - 131 miles
= 156 miles
Hence, they biked 156 miles in last 4 days.
