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myrzilka [38]
3 years ago
9

Graph ​ y−5=−2/3(x+9)​. plot two different points. please show work i am very lost. thank you

Mathematics
1 answer:
Sidana [21]3 years ago
4 0
Y -:5 = 2/3x + 6 because 6 is 2/3 of 9
add 5 to both sides
y - 5 +:5 = 2/3x + 6 + 5
y = 2/3x + 11
the y intersept is 11 or (0 , 11) when x is 0
when x is 3
y = 2/3 (3) + 11 or 2 + 11 = 13
so a 2nd point could be (3 , 13)
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In triangle KLM, if K is congruent to L, KL = 9x - 40, LM = 7x - 37, & KM = 3x + 23, find x & the measure of each angle.
Dennis_Churaev [7]

Answer: x = 15, ∠K = 45.7°, ∠L = 45.7°, ∠M = 88.6°

<u>Step-by-step explanation:</u>

Since ∠K ≅ ∠L, then ΔKLM is an isoceles triangle with base KL

 KM ≅ LM

3x + 23 = 7x - 37

       23 = 4x - 37

       60 = 4x

        15 = x

KM = LM = 3x + 23

               = 3(15) + 23

               = 45 + 23

               = 68

KL = 9x - 40

    = 9(15) - 40

    = 135 - 40

    = 95

Next, draw a perpendicular bisector KN from K to KL. Thus, N is the midpoint of KL and ΔMNL is a right triangle.

  • Since N is the midpoint of KL and KL = 95, then NL = 47.5
  • Since ∠N is 90°, then NL is adjacent to ∠l and ML is the hypotenuse

Use trig to solve for ∠L (which equals ∠K):

cos ∠L = \frac{adjacent}{hypotenuse}

cos ∠L = \frac{47.5}{68}

      ∠L = cos⁻¹ (\frac{47.5}{68})

      ∠L = 45.7  

Triangle sum Theorem:

∠K + ∠L + ∠M = 180°    

45.7 + 45.7 + ∠M = 180

       91.4     + ∠M = 180

                      ∠M = 88.6

       

7 0
3 years ago
This week, Ivania ran a total of 20 km, which is 6.5 km farther than she ran last week. If w represents the number of kilometers
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Answer:

Step-by-step explanation:

6.5 + w = 20

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Answer:

Step-by-step explanation:

Given in the data set as

26, 34, 38, 49, 65, 76, 81

Sum = 369

No of entries = 7

Mean =52.71

When 1213 is included

New sum = 1582

No of entries =8

New mean = 197.75

Thus mean increases by 145.04

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PSYCHO15rus [73]

Answer: The cube root of 10 is 2.1544 using an Xo value of -0.003723

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