Triangle LMN and triangle XYZ are similar. The diagram below shows some of the dimensions of the triangles:
k
k + 3
36
?
N
K + 5
M
Z
44
y
What side is XY proportional to?
What side is ZY proportional to?
What side is XZ proportional to?
Set XY/LM = ZY/NM to find k. What is k?
What is the measure of side NM?
What is the measure of side LM?
What is the measure of side LN?

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

1.0

step-by-step explanation:

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

more detail

step-by-step explanation: