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
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.
you sure
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.
Identify the missing symbol.
A.
=
B.
>
C.
≥
D.
<
B. > (Greater than)
Identify the missing symbol. 12/13 ? 7/8
A.
=
B.
>
C.
≥
D.
<
D. < (Less than)
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
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.
Which of the following is equivalent to -7/-11 ?
A. -7/11
B. 7/11
C. 7/-11
D. 11/7