In the image, as denoted by similar sides OP and MN, we can conclude that the 2 triangles are similar triangles. To look for the value of x (which we can substitute later to find the length of segment LP), we relate the relations of segments LO and LP to segments LM and LN. This relation is shown below:
LO/LP = LM/LN
22 / x+12 = 30 / x+12 + 5
22 / <span>x+12 = 30 / x+17
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Cross-multiplying:
30x + 360 = 22x + 374
Isolating x to one side of the equation by subtracting 22x and 360 from both sides:
30x + 360 - 360 - 22x = 22x + 374 - 360 - 22x
8x = 14
x = 1.75
Since we now have the value of x, we substitute this to the equation of LP:
LP = x + 12
LP = 1.75 + 12
LP = 13.75
Therefore the value of LP is 13.75 in.
The answer to the questions
Answer:
1/6
Step-by-step explanation:
So we make a fraction with yellow as a numerator and the total as the denomonator. From the infromation in the table the fraction would be 3/18. We simplify this to 1/6. I hope this helps.
Answer:
4 and 3 remaining
Step-by-step explanation:
24 is a multiple of 6 27 is not
The formula for the sum of the squares of the deviations is
SS = s² (N -1)
We are given
SS = 316
N = 9
Substituting
316 = s² (9 - 1)
Solving for s
s = 6.28
The standard deviation is 6.28
