Question

Note: picture not drawn to scale
Triangles ABC and XYZ are similar figures, because angles A, B, and C are congruent to angles X, Y, and Z, respectively.

If side AC equals 6 cm, BC equals 11 cm, and XZ equals 18 cm, what is the length of side YZ?
A.
43 cm
B.
33 cm
C.
66 cm
D.
56 cm

Answer 1

you sure

Answer 2

Identify the missing symbol.


A.
=
B.
>
C.
≥
D.
<

Answer 3

Identify the missing symbol. 12/13 ? 7/8


A.
=
B.
>
C.
≥
D.
<

Answer 4

John throws a fair six-sided die. What is the probability he will get a multiple of three?
A. 1/4


B. 1/3


C. 1/6


D. 1/2

Answer 5

Which of the following is equivalent to -7/-11 ?
A. -7/11

B. 7/11

C. 7/-11

D. 11/7

Answer 6

A. 33 cm

Since triangles ABC and XYZ are similar figures, we can set up a proportion to find the length of side YZ.

AC/BC = XZ/YZ
6/11 = 18/YZ

Solving for YZ:
11 * 18 = 6 * YZ
198 = 6 * YZ
YZ = 198 / 6
YZ = 33

Therefore, the length of side YZ is 33 cm.

Answer 7

Let's recheck the calculations.
Using the proportion setup:

AC/BC = XZ/YZ
6/11 = 18/YZ

Cross multiply to solve for YZ:

6 * YZ = 11 * 18
6YZ = 198
YZ = 198 / 6
YZ = 33

Therefore, the correct answer is still A. 33 cm.

Answer 8

B. > (Greater than)

Answer 9

D. < (Less than)

Answer 10

B. 1/3

There are two multiples of three on a standard six-sided die: 3 and 6. Out of the 6 possible outcomes in total, the probability of getting a multiple of three is 2/6, which simplifies to 1/3.

Answer 11

A. -7/11

To simplify -7/-11, we can divide both the numerator and denominator by -11 (since -7 divided by -11 gives you 7):

-7/-11 = 7/11

Therefore, -7/-11 is equivalent to -7/11.