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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
Answer:
589.4 cubic inches.
Step-by-step explanation:
The volume of the cube with each side of the measure of 9.5 inches.
So, the volume of the cube will be (9.5 × 9.5 × 9.5) = 857.375 cubic inches.
Now, if there is a ball inside this cube with volume 268 cubic inches then the remaining volume inside the cube is filled with air.
Therefore, the volume of air inside the cube will be (857.375 - 268) = 589.375 cubic inches ≈ 589.4 cubic inches. (Answer)
x=-11
we know that
Points A,B,C,and D are collinear and positioned in that order
so
AD=AB+BC+CD -----> by addition segment postulate
we have
AB=2x+30
AD=x=32
substitute the given values and solve for x
x+32 = (2x+43)
Group terms that contain the same variable
2x-x=32-43
x=-11
