Answer:
d. ∆UVW ∼ ∆UWT ∼ ∆WVT
Step-by-step explanation:
Two triangles are similar if the corresponding angle are congruent and if the ratio of the corresponding sides are proportional.
The logic is in three scenarios. The Cases that lead to similarities in a triangle can be expressed as follows
i. If two sides of a triangle are in the same ratio to the corresponding side of another triangle and the included angle are the same.
ii. If the three corresponding sides are in the same ratio then the triangles are similar.
iii. Also if the angles are of a triangle is congruent to the corresponding angles of another triangles they are similar.
Mean: [45+65+30+50+20+30]/6 = 40.2
Median
First order the number {20, 30, 30,45, 50, 50}
The median is the average of the two values in the middle of the list: (30+45)/2 = 37.5
Mode: 30 and 50 (they are repeated the same number of times)
The volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches
<h3>How to calculate the volume of a cylinder?</h3>
The formula for calculating the volume of cylinder is expressed as:
V = πr²h
where
r is the radius
h isthe height
Given the following parameters
h = 15in
r = 6in
substitute
V = 6^2 * 15π
V = 540 π cubic inches
Hence the volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches
Learn more on volume of a cylinder here: brainly.com/question/9554871
