The value of the variable x is found to be x = 9.
<h3>What is termed as angle bisector?</h3>
- In geometry, an angle bisector is a line that divides an angle into two equal angles.
- A bisector is something that divides a shape or thing into two equal portions.
- An angle bisector is a ray that divides an angle into two equal components of the same measurement.
A bisected angle divides the two sides in equals.
JKM = LKM
As, both are equal.
Then, each of these angles are 1/2 the angle JKL.
1/2 JKL = MKL
1/2 ×( 92) = 5x + 1
Further simplifying;
46 = 5x+1
Subtract 1 from each side
46-1 = 5x
45 = 5x
Divide each side by 5
45/5 = 5x/5
x = 9
Thus, the value of the unknown variable is found to be x = 9 units.
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I'm not good at math but I think is 3f because you'll be multiplying f(unknown #) by 3 so f(x) would be 3f
Answer:
5 people will be left to play
Answer:
6 cm
Step-by-step explanation:
The area of a triangle is 
, where b = base, h = height, and A = area. In this case, we're given the height as 4 cm and the area as 6 cm^2.
Let's plug in these values.
Now, let's solve this algebraically.
Step 1: Multiply both sides by 2.
Step 2: Divide both sides by 4.
Step 3: Check if solution is correct.
Therefore, the base is 6 cm. (but don't put the cm in the box because it's already there)
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Step-by-step explanation:
The value of k in the equation g(x) = f(x) + k comes out to be 8.
How the vertical shifting of a graph takes place?
If the graph of a function f(x) is shifted vertically by k units, f(x) becomes f(x)+k.
From the diagram, we can say that graph of f(x) has been shifted vertically by 8 units
If we shift f(x) vertically by 8 units f(x) becomes f(x)+8 and also coincides with the graph of g(x).
So, g(x) = f(x) + 8........(1)
Comparing (1) and g(x) = f(x) + k, we get k=8.
Hence, the value of k in the equation g(x) = f(x) + k comes out to be 8.
