∆ABC and ∆PQR are congruent under the correspondence: ABC ↔ RQP
1 answer:
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<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:
4.9%
Step-by-step explanation:
GDP is the growth domestic product of a country over a chosen time period
When the GDP growth rate is reported quarterly , you add together the four quarters for the year to find the annual GDP growth rate.
Given the four consecutive quarters as; 2% , 0.9%, 0.8% and 1.2%
Growth rate for the year will be;
4.9% is the annualized growth rate