<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:
Q1:
Share of the daughter (x):
2x + x + x + $1,000 = $9,000
4x = $8,000
x = $2,000
Share of the wife:
= 2($2,000)
= $4,000
Share of the son:
= $2,000 + $1,000
= $3,000
Answer: wife, $4,000; son, $3,000; daughter, $2,000
Q2:
= 1/2x + $1,000
Answer: 1/2x + $1,000: expression for share of the son
Proof (the wife shares $4,000):
Share of wife (x):
x + 1/2x + 1/2x + $1,000 = $9,000
2x = $8,000
x = $4,000
Step-by-step explanation:
hope it helps!
Answer:
4(x - 3)
Step-by-step explanation:
When you put brackets around a binomial (has 2 parts separated by a plus / - sign), you must take out a common factor from both terms separated by the + or - sign
A only has the 4 taken away from the x. The answer is not A
B has the 3 removed from the 12, not the x, so B is not the answer.
C that's the answer.
If 2 boxes contain a blue plate, then it would be a probability of 2:30 because you have 30 boxes of unknown amount of plates with only 2 boxes with one blue plate in it.
Answer:
-7
Step-by-step explanation: When a= 5, let's substitute all a's with 5 in the expression:
