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musickatia [10]
3 years ago
6

. If mZJ= (7x + 13)", mZK = (83 - 2x), and

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

Answer:

  • m∠J = 76°
  • m∠K = 65°

Step-by-step explanation:

The sum of angle measures is ...

  (7x +13)° +(83 -2x)° = 141°

  5x +96 = 141 . . . . . collect terms, divide by °

  5x = 45 . . . . . . . . . subtract 96

  x = 9 . . . . . . . . . . . divide by 5

  7x +13 = 7·9 +13 = 76 . . . . . find m∠J

  m∠J = 76°

  m∠K = 141° -76°

  m∠K = 65°

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3 years ago
Label the vertices and state the Pythagorean Theorem for the following right triangle. Find x.
Ganezh [65]

Answer:

Pythagorean Theorem Statement is below.

Therefore the value of x is 9 m.

Step-by-step explanation:

Given:

Label the vertices as A , B , C shown in figure below such that

∠A = 90°

AC = Longer leg = 12 m

AB = Shorter leg = x

BC = Hypotenuse = 15 m

To Find:

x = ?

Solution:

Pythagorean Theorem :

Pythagorean Theorem States that "the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides".

Which can be Written as

(\textrm{Hypotenuse})^{2} = (\textrm{One Side})^{2}+(\textrm{Other Side})^{2}

OR

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

i.e (BC)^{2}=(AB)^{2}+(AC)^{2}

Substituting the values AB ,AC, BC we get

(15)^{2}=(x)^{2}+(12)^{2}\\(x)^{2}=225-144=81\\(x)^{2}=81\\Square\ Rooting\\x=\sqrt{81}=9\\x=9\ m

Therefore the value of x is 9 m.

4 0
3 years ago
X^2-x-56=0 <br> How do you use the zero product property to solve this?
S_A_V [24]

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6 0
2 years ago
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3 years ago
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Dmitriy789 [7]
The equation in y = mx+b form is y = -450x+2745

where,
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The y intercept is 2745 since this is the initial starting y value, aka the starting distance. Therefore b = 2745.

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