The point (2, 1) is the midpoint of a line with endpoints at (C5, 3) and:

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Lindsay grows only roses and tulips in her garden. The ratio of roses to tulips in her garden is 5:6.

If there are 24 2 total flowers in her garden, how many of them are tulips?

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It takes eight people 12 hours to clean an office.

How long would it take six people to clean the office?

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Greg has nine paintings. The Hickory Museum has enough space to display three of them.

From how many different sets of three paintings does Greg have to choose?

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Correct Answer: C
C

Explanation:

Be careful not to count the same set of three paintings more than once C order is not important. A nine­choose-three combination is equal to

If the surface area of a cube is 384 cm2, what is the volume of the cube?

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In the diagram above, what is the sum of the measures of the

,

and

?

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Correct Answer: B
B

Explanation:

There are 180º in a line: ( x + (supplement of

)) + ( y + (supplement of

)) + ( z + (supplement of

)) = 540. The supplement of

, the supplement of

, and the supplement of

are the interior angles of a

triangle. There are 180º in a triangle, so those supplements sum to 180. Therefore,x + y + z + 180 = 540, and x + y + z = 360.

Given the following figure with one tangent and one secant drawn to the circle, what is the measure of

?

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Correct Answer: E
E

Explanation:

The measure of an angle in the exterior of a circle formed by a tangent and a secant is equal to half the difference of the intercepted arcs. The two intercepted arcs are

which is 60°, and

which is

110°. Find half of the difference of the two arcs: 1/2 × (110 C 60) = 1/ 2 × 50 = 25º.

Balloons are sold according to the chart above. If a customer buys one balloon at a time, the cost is $1.00 per balloon. If a customer buys ten balloons at a time, the cost is $0.90 per balloon.

If Carlos wants to buy 2,000 balloons, how much money does he save by buying 1,000 balloons at a time rather than ten balloons at a time?

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If

anda and c are doubled, what happens to the value of d ?

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Correct Answer: A
A

Explanation:

If a and c are doubled, the fraction on the left side of the equation becomes

. The fraction has been multiplied by 2/2 which is equal to 1.

Multiplying a fraction by 1 does not change its value:

.

The value of d remains the same.

In the diagram above, line OA is congruent to line OB.

What is the measure of arc CD?

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Correct Answer: C
C

Explanation:

Triangle AOB is isosceles because line OA is congruent to line OB.

and

are both

55º, which means that

= 180 C (55 + 55) = 70º.

is a

central angle and arc CD is its intercepted arc. A central angle and its

intercepted arc are equal in measure, so the measure of arc CD is 70º.