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pickupchik [31]
3 years ago
6

M is between L and N. If LN = 91 and LM = 23, find MN.

Mathematics
1 answer:
Tasya [4]3 years ago
8 0

Answer:

MN = 68

Step-by-step explanation:

LN = 91

LM = 23

Points L, M, and N are collinear, therefore, according to the segment addition postulate, the following can be deduced:

LM + MN = LN

23 + MN = 91 (Substitution)

Subtract 23 from both sides

23 + MN - 23 = 91 - 23

MN = 68

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AleksandrR [38]

Divide common factors from both numerator and denominator.

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hope this helps

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3 years ago
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This object is made with five identical cubes. each cube edge if 4 centimeters long, What is the surface area of this object in
CaHeK987 [17]

Answer:

480 cm ^ 2

Step-by-step explanation:

To calculate the surface area of the figure, we must calculate the surface area of the cube, we know that they are identical, therefore, calculating the area of one is sufficient.

We have that the surface area of a cube is:

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where a is the edge, we know that if it is a cube all its sides are equal, in this case it is 4 centimeters, if we replace we have:

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3 0
3 years ago
A, B, and C are collinear points, where B is between A and C. Find x if AB = x, BC = x + 6, and AC = 24. Then find the measures
Alekssandra [29.7K]

Answer:

AB = 9, BC = 15

Step-by-step explanation:

Since, A, B, and C are collinear points, where B is between A and C. i. e. A - B - C

\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \:  \frac{18}{2}  = x \\  \therefore \: x = 9

\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \:  \frac{18}{2}  = x \\  \therefore \: x = 9 \\  \because \: AB  = x \\  \huge \red{ \therefore AB  = 9} \\  \\  \because \:BC = x + 6 \\  \therefore \: BC = 9 + 6 \\ \huge \purple{ \therefore \: BC = 15}

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3 years ago
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