9514 1404 393
Answer:
(a) ΔWZY ~ ΔWXZ ~ ΔZXY
Step-by-step explanation:
In order for the similarity statement to be correct, the corresponding sides need to be listed in the same order.
A: ΔWZY lists sides in order short leg (WZ), long leg (ZY).
ΔWXZ lists sides in order short leg (WX), long leg (XZ).
ΔZXY lists sides in order short leg (ZX), long leg (XY).
The first similarity statement is correct.
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You can compare this to an incorrect one, the last one, for example.
ΔYZW lists sides in order long leg (YZ), short leg (ZW).
ΔXZW lists sides in order long leg (XZ), hypotenuse (ZW). Hypotenuse and short leg are not corresponding sides, so the similarity statement is incorrect.
Step-by-step explanation:
Here important information is missing. That is total number of divide.
However, it is given that riley made groups of 12 with 1left over from total number of divide. So, total number of divides on the drawing must be a multiple of 12 +1. It can be any number like 12n+1, where n is an integer. Then we ca find total number of group.
Let "a", "b" and "с" be sides of the triangle ("с" is the longest side). The triangle will be:
right if a² + b² = c²
аcute if a² + b² > c²
obtuse if a² + b² < c²
We have a=10, b=14 and c=18
a² + b² = 10² + 14² = 100 + 196 = 296
and
c² = 18² = 324
296 < 324 ⇒ obtuse triangle.
Step 1 find the median of thos data set
the middle number is 2
then find the median of the right side of the data that is left that is the 75th percentile
which is 2.25
I believe the line shows in XZ because the line segment extends through and past points X and Z :)