The value of x+y+z = 93
<u>Explanation:</u>
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angle 1 = 18x
angle 2 = x+y
angle 3 = 30z
In rhombus, the diagonals intersect at 90°
Therefore,
angle 1 : 18x = 90
x = 90/18 = 5
angle 2: x+y = 90
5+y = 90
y = 85
angle 3: 30z = 90
z = 90/30 = 3
Value of x+y+z = 5+85+3 = 93
Thus, the value of x+y+z = 93
Hello,
g(x)=x²+3
f(x)=2/x
so f(g(x))=f(x²+3)=2/(x²+3)
Explainations:
f(y)=2/y
f(4y)=2/(4y)
f(x²)=2/x²
f(x²+3)=2/(x²+3)
Answer:
Greatest Common Factor is 
Step-by-step explanation:
Greatest Common Factor is the highest factor that will divide all the numbers. To find the Greatest common factor, first we need to find out the numbers that all the values have in common.
Factors of 4k=1, 2, 4 and k
Factors of 18k=1, 2 , 3, 6, 9, 18 and k
Factors of 12=1, 2, 3, 4, 6 and 12
Common factors are = 1 and 2.
Therefore,
Greatest Common Factor = 
=
At Wolf-M-Up, Cost = 17.50 + 2.25(number of days)
At Fangs-R-Us, Cost = 24.25 + 1.5(number of days)
The costs are the same when [ 17.50 + 2.25 D = 24.25 + 1.5 D ].
Subtract 1.5D from each side: 17.50 + 0.75 D = 24.25
Subtract 17.50 from each side: 0.75 D = 6.75
Divide each side by 0.75 : <em>D = 9 days</em>
Substitute 9 for the number of days at either company,
and the cost is<em> $37.75</em> .
If you only want the wolf for a few days, then Wolf-M-Up is cheaper.
If you plan to keep it for more than 9 days, then Fangs-R-Us will cost less.
For exactly 9 days, both wolves will cost the same $37.75 .
