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topjm [15]
3 years ago
14

HELP PLS In the following diagram, C line intersects line D.

Mathematics
1 answer:
andreev551 [17]3 years ago
4 0

Answer:

A) angles 7 and 8 are vertical angles, making them equal in measure

B) The angle with the measure of (5y-29) and the angle with the measure of (3y+19) are also vertical angles. This means they are equal in measure to each other. You can solve for y by setting these two angles equal to each other.

C) (5y-29)= (3y+19). Add 29 to both sides.

5y = 3y + 48. Subtract 3y from both sides.

2y = 48. Divide both sides by 2.

Y = 24

Plug 24 in for y in the two equations.

(5y-29)

5(24)-29= 91

And

(3y+19)

3(24)+19= 91

Angle 8 and the angle with the measure of (5y-29) are a linear pair. They sum to 180. Remember (5y-29)=91, so

91+ angle 8 = 180. Subtract 91 from both sides.

Angle 8 = 89

If angle 8 is 89, then angle 7 is also 89 because they are vertical angles and equal.

Step-by-step explanation:

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An earth satellite remains in orbit at a distance of 11550 km from the center of the earth. what speed would it have to maintain
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<span>11,550 km has to be changed to 11,550,000 meters

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Source:
http://www.1728.org/kepler3a.htm



4 0
4 years ago
Which statement shows that when two polynomials 5x − 6 and 6x + 2 demonstrates the closure property when multiplied? a. 30x2 − 2
pogonyaev

Answer: a. 30x^2 − 26x − 12


First write the equation in a form to better help visualize.

(5x - 6)(6x + 2)

Then use distributive property on the second binomial from the first binomial.  <em>You multiply 5x by 6x and 2, then multiply -6 by 6x and 2.</em>

5x * 6x = 30x^2 (The answer is raised to the power of 2 because you're adding the invisible exponents, aka exponents of 1)

Then multiply 5x by 2

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Then you repeat the process but with -6 instead of 5x.

-6 * 6x = -36x  (It is not raised to a power of 2 because -6 does not have a variable to include the invisible exponent)

-6 * 2 = -12

Now take all of your answers and put them into 1 equation by the order you did them.  

30x^2 + 10x - 36x -12

But wait! The answer can still be simplified.  All you have to do is combine like terms.  <em>However 30x^2 can't be combined with 10x because 10x isn't raised to the second power, terms can only be combined if they have the same variable and exponent.</em>

30x^2 + (10x - 36x) - 12

30x^2 - 26x - 12


8 0
3 years ago
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