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hammer [34]
3 years ago
5

Which statement must be true about the diagram?

Mathematics
2 answers:
sertanlavr [38]3 years ago
8 0

Ray KM is an angle bisector of NKL.

sweet [91]3 years ago
8 0

 Find out the true statement of the diagram.

To proof

The statement true about the diagram is

Ray KM is an angle bisector of ∠NKL

REASON

KM ia an angle bisector of ∠NKL.

angle bisector is a line which divide the an angle in two equal parts.

As shown in the diagram

KM divided the angle ∠ NKL

and also in the diagram

∠LKM =61°

∠MKN = 61°

that means KM divided ∠NKL in two equal angle

thus

Ray KM is an angle bisector of ∠NKL

Hence proved



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snow_lady [41]

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We have to determine the unit rate for kilometers per​ hour.

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What is the quotient (6x4+15x3+10x2+10x+4) ÷ (3x2 + 2)?
Elza [17]
We want to evaluate
\frac{6x^{4}+15x^{3}+10x^{2}+10x+4}{3x^2+2}

Perform long division
                                  2x²  + 5x  + 2
           ----------------------------------------
3x²+2 | 6x⁴ + 15x³ + 10x² + 10x + 4
             6x⁴ +             4x²
           ----------------------------------------
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                      15x³           + 10x
            ---------------------------------------
                                6x²           + 4
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Answer: 2x² + 5x + 2

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Unit4: Congruent Triangles Hw 1: Classifying Triangles Gina Wilson (All things algebra) 2014
anastassius [24]

Answer:

  • 12. x = 6, side = 83
  • 13. x = 18, side = 29
  • 14. x = 11, sides = 74, 74 and 37
  • 15. x = 23, sides = 95, 95 and 108

Step-by-step explanation:

<em>11 is incomplete, can't solve</em>

12

<u>The triangle is equilateral, so all sides are equal, using one pair to find x:</u>

  • 13x + 5 = 17x - 19
  • 17x - 13x = 5 + 19
  • 4x = 24
  • x = 6

<u>Each side is:</u>

  • 13*6 + 5 = 78 + 5 = 83

13.

<u>Sides are equal as triangle is equilateral</u>

  • QR = 2x - 7
  • RS = 5x - 61
  • QS = x + 11

<u>Finding x by comparing two sides</u>

  • 2x - 7 = 5x - 61
  • 5x - 2x = 61 - 7
  • 3x = 54
  • x = 18

<u>Sides are equal</u>

  • 18 + 11 = 29

14.

<u>Equal sides of isosceles triangle:</u>

  • CD = DE
  • 9x - 25 = 6x + 8
  • 9x - 6x = 8 + 25
  • 3x = 33
  • x = 11

<u>Sides are</u>

  • CD = DE = 9*11 - 25 = 99 - 25 = 74
  • CE = 10*11 - 73 = 110 - 73 = 37

15.

<u>Equal sides of isosceles triangle WXY, WX = WY</u>

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  • WY = 7x - 66
  • XY = 5x - 7
  • 4x + 3 = 7x - 66
  • 7x - 4x = 3 + 66
  • 3x = 69
  • x = 23

<u>Sides are:</u>

  • WX=WY = 4*23 + 3 = 95
  • XY = 5*23 - 7 = 108
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Answer:

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