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noname [10]
3 years ago
9

Point L is on line segment \overline{KM}

Mathematics
1 answer:
Burka [1]3 years ago
8 0

9514 1404 393

Answer:

  KM = 4

Step-by-step explanation:

The point of the segment addition postulate is that the combined length of segments laid end-to-end is the sum of their individual lengths.*

  KL +LM = KM

  (5x +1) +(3x +3) = 5x +4

  8x +4 = 5x +4 . . . .simplify

  3x = 0 . . . . . . . . . . subtract 5x+4

  x = 0 . . . . . . . . . . . divide by 3

Then the length of KM is ...

  KM = 5x +4 = 5·0 +4 = 0 +4

  KM = 4

_____

* Sometimes it seems that geometrical theorems simply state the obvious. Some interesting math arises from systems of geometry in which this is not true. We usually don't study those in high school.

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1 5 31 155

Step-by-step explanation

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4 years ago
Two angles form a linear pair. The measure of one angle is 2.6 times the measure of the other angle. Find the measure of each an
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3 years ago
In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?
Ne4ueva [31]

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Step-by-step explanation:

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3 years ago
Of all the numbers whose difference is 36​, find the two that have the minimum product
scZoUnD [109]

Answer:

54,18

Step-by-step explanation:

Let one of the numbers be x. The other number be represented as 36-x

(x-(36-x ) = 36

open brackets

x - 36 + x  =  36

x + x = 36+ 36 = 72

2x = 72

x = 72/2 = 36

x =  36

The product can then be represented as y = x(36-x) or y=36x-x²

 The maximum or minimum is always on the axis of symmetry which has the formula x=-b/2a.

In our case, the axis of symmetry is -36/-2, so x=18.

 

If one number is 18 and the 2 numbers differentiate by 36, the other number is 18 + 36 = 54

So the 2 numbers are 18 and 54 and the minimum product is 972

8 0
3 years ago
Please help will give correct answer brainliest
kodGreya [7K]

Answer:

Step-by-step explanation:

Let us begin with the AA Similarity definition. It states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

This means that we need:

  • An angle of one triangle that is congruent to an angle of the other triangle.
  • Another angle of one triangle that is congruent to another angle of the other triangle.

For this problem, it is unclear that there are more than one angles that are congruent to each other. We see that angle <DEF and <ABC are congruent, but the problem does not give any other angles. In another case, we must find one more to prove similarity by the AA similarity theorem.

6 0
4 years ago
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