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abruzzese [7]
2 years ago
7

1) Which expression is equal to

Mathematics
1 answer:
mel-nik [20]2 years ago
6 0

Answer:

None of the expressions in the option is equal to 10 x(13).

Step-by-step explanation:

The answer can be verified by calculating the values of the expression in the question, those of each options, and then compare as follows:

Value of the expression = 10 x (13) = 10 x 13 = 130

Therefore, we have:

A. 10 + (1+3) = 10 + 4 = 14 \neq 130

B. (10 x 1)+3 = 10 + 3 = 13 \neq 130

C. 10 + (1x3) = 10 + 3 = 13 \neq 130

D. (10 * 1)3 = 10 * 3 = 30 \neq 130

Based on the calculations above, none of the expressions in the option is equal to 10 x(13).

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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.

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Answer: here is an example in the screenshot

it is A,B,C, or D

Step-by-step explanation:

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