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VladimirAG [237]
3 years ago
14

Simplest form -4j-1-4j+6

Mathematics
1 answer:
Sholpan [36]3 years ago
3 0
-4j -1 -4j + 6 can be arranged by the commutative property of addition.
-4j - 4j -1 + 6

If we combine like terms we get -8j +5
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Ratling [72]
B because it is between x: 4 and 6. And it is linear and decreasing
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The university needs to transport 421 fans from the stadium parking lot to the football game. If a van holds 10 people, how many
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of the 200 seniors graduating, 50 took an art class while in highschool and 99 were in the band . Only 30 of the students who to
elena-s [515]

Answer:

69 or 71, read below for details.

Step-by-step explanation:

This is unfinished, but I'll answer to my best ability.

200 seniors graduated

99 in band

30 students in art were NOT in band.

I assume the question here is either how many students were in band and art, which would be 69 as 99 - 30 = 69.

If the question is how many students didn't take any electives, the answer is 200 - 99 - 30 = 71.

Message me if you have any questions/clarifications.

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Tresset [83]

By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.

This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.

Then:

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are <em><u>same-side interior angles</u></em>. Because AB and DC are <em><u>parallel</u></em>, the same-side interior angles must be <em><u>supplementary</u></em> by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.


3 0
3 years ago
Read 2 more answers
Solve with a system of equations: Two angles are supplementary if the sum of their measures are 180 degrees. If one is 90 degree
julsineya [31]

Answer:

  The measures of the angles are 150° and 30°.

Step-by-step explanation:

Let x and y represent the measures of the angles, with x representing the larger angle.

  x + y = 180 . . . . . . the two angles are supplementary

  x = 90 + 2y . . . . . one is 90° more than twice the other

___

Substituting the expression given by the second equation into the first, we have ...

  (90 +2y) +y = 180

  3y = 90 . . . . . . . . . . collect terms, subtract 90

  y = 30 . . . . . . . . . . . divide by the coefficient of y

  x = 180 -y = 150

The measures of the angles are 150° and 30°.

6 0
3 years ago
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