Answer:
17°
Step-by-step explanation:
Let x represent the measure of the angle.
(90 -x) = 5 + 4x . . . . the complement is 5° more than 4 times the angle
85 = 5x . . . . . . . . . . add x-5 to both sides
17 = x . . . . . . . . . . . . divide by 5
The measure of the angle is 17°.
Answer:
They are similar
Step-by-step explanation:
If two triangles are similar, the ratio of their corresponding side lengths must be equal to each other.
This means that for ∆LQP and ∆LMN to be considered similar to each other, therefore:
LM/LQ = LN/LP
LM = 100
LQ = 12
LN = 75
LP = 9
LM/LQ = 100/12 = 25/3
LN/LP = 75/9 = 25/3
LM/LQ = LN/LP = 25/3, therefore ∆LQP and ∆LMN are similar to each other because the ratio of their corresponding side lengths are the same.
9514 1404 393
Answer:
-312
Step-by-step explanation:
The general term of an arithmetic sequence is ...
an = a1 +d(n -1)
Here, you have first term a1 = 31, and common difference d = 24-31 = -7. So, the 50th term is ...
a50 = 31 -7(50 -1) = 31 -7(49) = -312
The 50th term for the sequence is -312.
a) t in this equation would be the number of years so in this case t=4
b)3.5/100=0.035
c)A=600(1+(0.035/1)^(1×4)=688.51
d) The account earned $88.51
