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IRISSAK [1]
3 years ago
12

Given: triangle LNK, m of angle NLK =72 degrees. m of angle N=58 degrees. MP is perpendicular bisector of side LK and intersects

it at point M and side NK at point P. if Pk=12 in the following image, find the measure of angle LKN.

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
4 0

Answer:

  • 50°

Step-by-step explanation:

<u>Given triangle LNK </u>

  • m∠NLK = 72°
  • m∠LNK = 58°
  • m∠LKN = ?

<u>Interior angles sum to 180°</u>

  • m∠NLK + m∠LNK + m∠LKN = 180°
  • 72° + 58° + m∠LKN = 180°
  • m∠LKN = 180° - 130°
  • m∠LKN = 50°
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What are the numbers after 10 8 7 9​
kramer

Answer:

Step-by-step explanation:

ven numbers always end with a digit of 0, 2, 4, 6 or 8.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 are even numbers.

Odd numbers always end with a digit of 1, 3, 5, 7, or 9.

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31 are odd numbers.

3 0
3 years ago
The graphs of ​ f(x)=2x+4 ​ and ​ g(x)=10−4x ​ intersect at (1,6) . What is the solution of the equation 2x+4=10−4x ? Enter your
nordsb [41]
X = 1, since they intersect at (1,6) and are thus equal at that point
8 0
3 years ago
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Write the quadratic equation whose roots are 2 and -4 and whose leading coefficient is 2
Goryan [66]

Answer:

2x^2+4x-16

Step-by-step explanation:

The quadratic can be written as

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f(x) = 2(x-2)(x+4)

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Kristen has 64 coins in her bank. She has $9.25 in dimes and quarters. How many dimes and quarters does she have?
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D= # of dimes
q= # of quarters

QUANTITY EQUATION:
d + q= 64

COST EQUATION:
0.10d + 0.25q= $9.25


STEP 1:
multiply quantity equation by -0.10 to be able to eliminate the d term in step 2

(-0.10)(d + q)= (-0.10)(64)
-0.10d - 0.10q= -6.40


STEP 2:
add equation from step 1 to cost equation to eliminate the d term and solve for q

Add
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divide both sides by 0.15

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STEP 3:
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subtract 19 from both sides

d= 45 dimes


CHECK:
0.10d + 0.25q= $9.25
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ANSWER: There are 45 dimes and 19 quarters.

Hope this helps! :)
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