Following are heights, in inches, for a sample of college basketball players. 78 83 82 78 78 80 81 79 79 83 77 78 84 82 80 80 82
1 answer:
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Angles formed by the segment in the triangles ΔWXZ, and ΔXYZ, are equal and the given corresponding sides are proportional.
- The option that best completes the proof showing that ΔWXZ ~ ΔXYZ is; <u>16 over 12 equals 12 over 9</u>
Reasons:
The proof showing that ΔWXZ ~ ΔXYZ is presented as follows;
Segment is perpendicular to segment
∠WZX and ∠XZY are right angles by definition of perpendicular to
∠WZX in ΔWXZ = ∠XZY in ΔXYZ = 90° (definition)
Therefore;
, which gives,
Given that two sides of ΔWXZ are proportional to two sides of ΔXYZ, and
that the included angles between the two sides, ∠WZX and ∠XZY are
congruent, the two triangles, ΔWXZ and ΔXYZ are similar by Side-Angle-
Side, SAS, similarity postulate.
The option that best completes the proof is therefore;
Learn more about the SAS similarity postulate here:
Answer:
It would look like this:
Answer:
Volume = 80 cm³
Ratio = 24:5
Volume of each skittle = 0.411 cm³/skittle
Step-by-step explanation:
Given:
Sides of the boxes = 4 cm , 4 cm and 5 cm
Total Skittles hold = 192 skittles
To Find:
Volume = ?
Ratio of skittles to volume = ?
Volume of each skittle = ?
Solution:
Volume of a box is given by the formula
Volume = Length * width * Height
Putting in the values
Volume = 4 * 4 * 5
= 80 cm³
Now to find Ratio of skittles to Volume of box which is
Skittles : Volume = 192 : 80
As 192 and 80 both are divisible by 8 so dividing them by 8
=
= 24:5
Which is the required ratio
Now we have to find volume of each skittle so it could be found out by dividing total volume with total skittles
So
Volume of each skittle
Putting in the values gives
it becomes
= 0.411 cm³/skittle