By the angle bisector theorem, one of the lengths of the third side of the triangle is given by:
1.5 / 1 = x / 2.6
x = 1.5 x 2.6 = 3.9
One of the possible length of the third side is 3.9 cm
The other possible length is given by 1 / 1.5 = x / 2.6
1.5x = 2.6
x = 2.6/1.5 = 1.7
The other possible length of the third side is 1.7 cm.
the only true statement is
in 4 liters there are 4000 milliliters
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▹ Answer
<em>q = 16</em>
▹ Step-by-Step Explanation
3(q - 7) = 27
3q - 21 = 27
Add 21 to both sides:
21 + 21 = na
27 + 21 = 48
3q = 48
Divide both sides by 3:
3/3 = q
48/3 = 16
q = 16
Hope this helps!
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Answer: The explicit rule for the geometric sequence is:
an=15 (1/5)^(n-1), for n=1, 2, 3, 4, ...
Solution:
Sequence:
15, 3, 3/5, 3/25
a1=15
a2=3
a3=3/5
a4=3/25
a2/a1=3/15=(3/3)/(15/3)→a2/a1=1/5
a3/a2=(3/5)/3=(3/5)/(3/1)=(3/5)/(1/3)→a3/a2=1/5
a4/a3=(3/25)/(3/5)=(3/25)(5/3)=5/25=(5/5)/(25/5)→a4/a3=1/5
(an)/(an-1)=(1/5)
Solving for an:
an=(1/5) (an-1)
a1=15
n=2→a2=(1/5)(a2-1)=(1/5)(a1)=(1/5)(15)→a2=15 (1/5)
n=3→a3=(1/5)(a3-1)=(1/5)(a2)=(1/5)[(15) (1/5)]=15 (1/5)^(1+1)→
a3=15 (1/5)^2
n=4→a4=(1/5)(a4-1)=(1/5)(a3)=(1/5)[15 (1/5)^2]=15 (1/5)^(2+1)→
a4=15 (1/5)^3
a1=15→a1=15 (1/5)^0=15 (1/5)^(1-1)
a2=15 (1/5)→a2=15 (1/5)^1=15 (1/5)^(2-1)
a3=15 (1/5)^2=15 (1/5)^(3-1)
a4=15 (1/5)^3=15 (1/5)^(4-1)
Then:
an=15 (1/5)^(n-1), for n=1, 2, 3, 4, ...
You need to get x by itself. Add 6 to both sides.
x = 14