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3 years ago

9

The equation y=15x + 500 represents the amount y that Lin earns by working for x hours, plus a performance bonus. What is Lin's

hourly rate?

2 answers:

Vedmedyk [2.9K]3 years ago

8 0

$15 an hour. hope this helps

sleet_krkn [62]3 years ago

4 0

15 dollars an hour. :)

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Which statement follows from the given theorem? Theorem: The diagonal of a parallelogram divides it into two congruent triangles

777dan777 [17]

Answer with explanation:

Theorem : The diagonal of a parallelogram divides it into two congruent triangles.

Properties of parallelogram

1. Opposite sides are equal and parallel.

2. Diagonal bisect each other.

3. Opposite Angles are equal.

If you will look at the first three options

A: Diagonals of a parallelogram bisect opposite angles.→→False(Alternate angles are equal)

B: Consecutive sides of a parallelogram are congruent.→→→False(Opposite sides are congruent)

C: Consecutive angles of a parallelogram are congruent.→→→False(Opposite angles are congruent)

D: Consecutive angles of a parallelogram are supplementary.→→→→True

For,any parallelogram, having vertices , A, B and C and D

Opposite sides are parallel, so

1.∠A + ∠B=180°

2.∠C + ∠B=180°

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Option D

6 0

3 years ago

lord [1]

Answer:

32 yards

Step-by-step explanation:

Carmen walked 30 yards due North and 12 yards West.

Now, if we join the initial and final position of Carmen and in this path Carmen comes back to her original position then the path, traveled by Carmen will form a right triangle and the direct path from her initial point to final point will be the hypotenuse of the right triangle.

Now, the two perpendicular legs of the triangle are respectively 30 yards and 12 yards.

Therefore, Carmen travel (Applying Pythagoras Theorem) to get back to her initial position by $\sqrt{30^{2} + 12^{2}} = 32.31$ yards ≈ 32 yards (to the nearest yard). (Answer)

6 0

2 years ago