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- 411 ? Of The Day 4

Ansley R.

Size:
13
The rectangle has **width = y** and **length = a/y **.

Let**a = 17**, what is the area of the rectangle?

**8.5** **17** **34** **289** Cannot be determined from the given information

Let

The area is width * length. Here we have **area = y*(17/y) = 17**. The area is **17**, regardless of the value of **y**.

Joan buys a CD at 25% off. Mary buys the same CD at full price. If Mary paid four dollars more than Joan, what is the regular price of the CD?

$12.00 $13.50 $14.00 $15.00 $16.00

$12.00 $13.50 $14.00 $15.00 $16.00

Joan saves $4.00 by buying the CD at 25% off. That means that $4.00 is 25 % of the full cost of the CD, which must be $16.00.

In the figure above, right triangle BCD sits on line AC. What is the value of x?

60 90 120 150 180

60 90 120 150 180

We can tell that triangle BCD is a **30-60-90** triangle based on the relationship between the lengths of the sides (the hypotenuse is twice the length of side CD).

So we can solve for x by:

- x + 30 = 180

If ** a < b ** and **d < b ** which of the following __are not necessarily__ true?

I only II only III only I and II only I and II and III

I only II only III only I and II only I and II and III

Well done. You can find counter examples for all three rules. For instance:

In the figure above, line z intersects lines x and y, and lines x and y are parallel. What is the value of k?

20 30 70 110 130

20 30 70 110 130

Because lines x and y are parallel, all acute angles formed by line z are equal, and all obtuse angles are equal. Also, the sum of any acute angle and any obtuse angle is 180 degrees.

In the figure above, The acute angles are all equal to 70 degrees. k is an obtuse angle, so we can solve for k by:

- 70 + k = 180

What is the largest whole number that divides both 60 and 84?

**6** **12** **16** **18** **24**

Although not grown locally, Dana loves the blueberries Although not grown locally, Dana loves blueberries Although not grown nearby, Dana loves the blueberries Although they are not grown locally, Dana loves the blueberries Although not grown locally; Dana loves the blueberries

What is ** 40% of 20% of 10**?

**0.8** **1.2** **2.0** **4.0** **6.0**

an evening, they are also dangerous, though, and an evening; they are also dangerous, though, and an evening, they are dangerous, though, and an evening, they are also dangerous though, and any evening, they are also dangerous, though, and

35 cents 45 cents 50 cents 72 cents 80 cents

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