Answer:
4th term = 29
to generate the terms, substitute n = 2, 3, 4 into the rule
noting that b(1) = - 7
b(2) = b(2 - 1) + 12 = b(1) + 12 = -7 + 12 = 5
b(3) = b(3 - 1) + 12 = b(2) + 12 = 5 + 12 = 17
b(4) = b(4 - 1) + 12 = b(3) + 12 = 17 + 12 = 29
Answer:
HG and HI are 11(√3)/3 and 22(√3)/3 respectively
Step-by-step explanation:
Since triangle HGI is a 30-60-90 triangle, we can easily find HG and HI. HG is 11/(√3) because the longer leg of a 30-60-90 triangle is (√3) times the shorter base. 11/(√3) can be simplified into 11(√3)/3. Since HG is 11/(√3), HI is is 22/(√3) because the hypotenuse is 2 times the shorter leg. 22/(√3) can be simplified into 22(√3)/3. So HG and HI are 11(√3)/3 and 22(√3)/3 respectively.
Rewriting if necessary: 3/2, 3/8, 5/6, 3/1
The denominators are 2, 8, 6, and 1
The LCM ( least common multiple ) is 24
Hopefully this helped
Answer:
the hash marks note that opposite sides are congruent.
the right angle notation implies that all angles are 90 degrees and are congruent as well