The answer would be B I hope this helps.
Answer:
1. The total number of students in the 25-34 age group
2. 2124/19558*100= 10.9 %
Answer:
5, 7, 11, 19, 35
Step-by-step explanation:
Using the recursive formula and a₁ = 5 , then
a₂ = 2a₁ - 3 = (2 × 5) - 3 = 10 - 3 = 7
a₃ = 2a₂ - 3 = (2 × 7) - 3 = 14 - 3 = 11
a₄ = 2a₃ - 3 = (2 × 11) - 3 = 22 - 3 = 19
a₅ = 2a₄ - 3 = (2 × 19) - 3 = 38 - 3 = 35
Thus the first 5 terms are
5, 7, 11, 19, 35
Answer:
C = 64.145º
Step-by-step explanation:
The Law of Sines is as follows:
=
= 
The problem can be draw as the picture attached.
Now, the values of the sides and angles can be substituted into the Law of Sines, and because all parts are equal, only two are needed:
= 
Next, cross-multiply:
7sin40º = 5sinC
Then, divide both sides by 5:
= sinC
Finally, take the inverse sin of the left side and convert into a decimal:
C =
(
)
C = 64.145
Answer:
Step-by-step explanation:
The two base angles in each triangle are equal. (The triangle is isoceles and the property used is angles opposite equal sides are equal).
Now the tricky part. The peak angles are also equal. That's because both peak angles are made equal by Peak angle + 2*base angle = 180
Peak angle = 180 - 2*base angle
Therefore the triangles are congruent by SAS.
I suppose you could get them equal by taking one of the base angles (all 4 are equal to each other) and the peak angles and claim equality by ASA, but it seems a little bit tortuous to me.