Answer:
Triangle DEF is a right, scalene triangle. It is not isosceles, obtuse, acute, or equilateral
Step-by-step explanation:
All we know about m and n are that they are not equal to each other and they are positive. This was given in the problem. See image. Once it is graphed you can see on the graph the lengths of DE and EF. Use Pythagorean theorem to calculate DF. see image.
DE is horizontal and EF is vertical, so you can see their slopes or calculate using a formula. Calculate the slope of DF. Slope is y-y on top of a fraction and x-x on the bottom of the fraction.
Lastly, use midpoint formula to find the midpoints. Average the x's and average the y's to find the x- and y-coordinates of the midpoints. See image.
Finally, DEF is a right triangle. The graph as well as the slopes show us that DE and EF form a right angle. So DEF must be a right triangle (and not obtuse nor acute) We were told that m doesNOT equal n, so the triangle cannot have two equal sides, so it cannot be isosceles (2 equal sides) nor equilateral (3 equal sides) It has 3 different lengths of sides; that is called scalene.
In this item, we are asked for the methodology to arriving the answer when the whole number is divided by a fraction with 1 as a numerator. If example we have the whole number as 4 and the fraction with 1 as numerator is 1/2, the division would become, 4/(1/2). We multiply the whole number by the reciprocal of the given fraction which then becomes, 4(2/1). The final answer would be 12.
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Each new term of this arith. seq. is obtained by adding 4 to the previous term. Hence, 15 = 11+4; 19=15+4, and so on. Add 4 to 19 to get the next term. Keep going until you have 4 new terms for the arith. seq. 11, 15, 19, .....
Answer:
The answer is D.
Step-by-step explanation:
Subtract the minimum from the maximum in both data sets, and you get the range: For both, it is nine.
Therefore, the ranges for the box plots are the same, but their interquartile ranges are different.
The square root of 63 is 7.93725393319
7.937253319 * 7.937253319 = 63