<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:
The price of uniform U= $145
price of each pair of cleats C= $16
Step-by-step explanation:
Let:
The Price of Each Uniform = U
The Price of Each Pair of Cleats = C
Rigo spent $451, before taxes, and purchased three uniforms and one pair of cleats.
→ Equation A
Ian spent $757, before taxes, and purchased five uniforms and two pair of cleats.
→ Equation B
Let's calculate → 2(Equation A) - (Equation B)
2(3U+C)-(5U+2C)= 2(451) -757
6U+2C-5U-2C= 145
U=$ 145
3U+C= 451
3(145)+C= 451
C= 451-435
C= $16
$18 (if each shirt costs the same, 54/3 = 18)
Step-by-step explanation:
to find height :
draw a height from A to CD
height = (13) 2 - 5) 2 = 12 Cm
area = 10+20 /2 X 12= 180 cm 2