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3 years ago

Proving the Parallelogram Side Theorem

Mathematics

1 answer:

sasho [114]3 years ago

5 0

Answer:

To prove a quadrilateral is a parallelogram, you must use one of these five ways.

Prove that both pairs of opposite sides are parallel.

Prove that both pairs of opposite sides are congruent.

Prove that one pair of opposite sides is both congruent and parallel.

Prove that the diagonals bisect each other.

Step-by-step explanation:

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Kathy and Brian drove a total of 750 miles in 12 hours. Kathy drove the first part of the trip at 65 mph and Brian drove the res

olga2289 [7]

Answer:

Kathy drove the first 9 hours of the trip and Brian drove the last 3 hours.

Step-by-step explanation:

Let's review the information given to us to answer the question correctly:

Total distance of the trip = 750 miles

Time of the trip = 12 hours

Speed of Kathy = 65 mph

Speed of Brian = 55 mph

2. For what length of the time did Kathy and Brian drive?

Let's solve the problem, this way:

x = Time in hours Kathy drove

12 - x = Time in hours Brian drove

Now, let's write our equation to solve for x:

65x + 55 (12 - x) = 750

65x + 660 - 55x = 750

10x = 750 - 660

10x = 90

x = 90/10

x = 9 ⇒ 12 - x = 3

Kathy drove the first 9 hours of the trip and Brian drove the last 3 hours.

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3 years ago

The hot cocoa stand uses 65 spoons each day. If the stand is open for 30 days, how many spoons are uses?

DiKsa [7]

Answer:

1950

Step-by-step explanation:

i got to this by multiplying 30 and 65

7 0

2 years ago

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PLEASE HELP ASAP!!!!!!

Marina CMI [18]

Wouldn’t it be 144° because each one is equal to the next ? I may be wrong but you never know

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4 years ago

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I need a word problem or this asap. THANK YOU!!!!!!!!! x + y ≤ 40 4x + 5y ≥80

CaHeK987 [17]

Carson needed pencil and erasers, but the total amount can not be over 40. Pencils were $4 and erasers were 5$. How much pencils and erasers can he buy without spender over $80

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3 years ago

2(4x+3)=10x-2 Anyone know how to work this out? Working out needed

Step2247 [10]

Answer:

$x = 4$

Step-by-step explanation:

1. expand.

$8x + 6 = 10x - 2$

2. Subtract 8x from both sides.

$6 = 10x - 2 - 8x$

3. simplify 10x - 2 - 8x to 2x - 2.

$6 = 2x - 2$

4. Add 2 to both sides.

$6 + 2 = 2x$

5. Simplify 6+2 to 8.

$8 = 2x$

6. Divide both sides by 2.

$\frac{8}{2} = x$

7. Simplify 8/2 to 4.

$4 = x$

8. switch sides.

$x = 4$

Therefor, rhe answer is x=4

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3 years ago