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The question tells us that m∠JKL is 54. We see from the diagram that this is the combination of the angles m∠JKM and m∠MKL. So, we can combine their values, which are equal to 54 to find x.
13x+1+5x+4=54
We combine like terms
18x+5=54
We subtract 5 from both sides.
18x=49
We divide both sides by 18.
x=2.7222222....
Now, we want to find the measure of m∠MKL. We plug our x value into the value of this angle and evaluate.
5(2.722....)+4=17.61111....... or 17 11/18.
Have a wonderful day and keep on learning! :D
width = x
length = 3 + x
perimeter = x + x + ( 3 + x ) + (3+x)
18 = x + x + ( 3 + x ) + (3+x)
x + x + ( 3 + x ) + (3+x) = 18
6 + 4x = 18
4x = 12
x = 3
Answer:
90π cm²
Step-by-step explanation:
Given: Radius of circular base= 5 cm
height= 12 cm
Now finding the surface of cone.
Formula; Surface area of cone= 
Where; r= radius
l= slant height
B is the area of base, which is circle.
Area of circle (B)= πr²
Area of circle (B)= 
∴ Area of circle (B)= 
Finding slant height (l)
Formula; 
⇒l = 
∴ l= 
Next, using the formula for finding surface area of cone.
Surface area of cone= 
⇒ Surface area of cone= 
∴ Surface area of cone= 90π cm²
To find g (f(x)) you should substitute "4x^2+x+1" to "x" of g(x) function. You'll havew:

To count (4x^2+x+1)^2 Just assume ( [4x^2+x] + 1)^2 and use the (a+b)^2=a^2+2ab+b^2 formula, where a=4x^2+x and b=1