Which two angles in the figure are adjacent angles?

Mathematics

2 answers:

abruzzese [7]4 years ago

4 0

C. ∠HVI and ∠IVJ

HOPE THIS WILL HELP YOU

inysia [295]4 years ago

3 0

Answer:

C. ∠HVI and ∠IVJ

Step-by-step explanation:

We have been given a diagram. We are asked to find the two adjacent angles from the given diagram.

We know that two angles are adjacent, when they share a common side and common vertex.

We can see that common vertex of both angles is V and common side is IV.

Upon looking at our given choices, we can see that option C is the correct choice as angle HVI and IVJ share common side IV and common vertex V.

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A local improvement store sells different sized of storage sheds. The most expensive shed has a footprint that is 15 feet wide b

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Answer:

Question 1: Are the footprints of the two sheds similar?

Yes, the two sheds are similar.

Question 2: Tell whether the footprint of the least expensive shed is an enlargement or a reduction,

It is a reduction

Question 3: Find the scale factor from the most expensive shed to the least expensive shed

The scale factor is 3/2

Explanation:

Question 1: Are the footprints of the two sheds similar?

The footprints of the two sheds will be similar if their measures are proportional.

The ratio of the measures of the footprint of the most expensive shed is:

width/length = 15 feet / 21 feet = 5 / 7

The ratio of the measures of the footprint of the least expensive shed is:

width/length = 10 feet / 14 feet = 5 / 7

Since, the two ratios are equal, you conclude that the corresponding dimensions are proportional and the two sheds are similar.

Question 2: Tell whether the footprint of the least expensive shed is an enlargement or a reduction.

A reduction is a similar transformation (the image and the preimage are similar) that maps the original figure into a smaller one.

Since the dimensions of the foot print of the least expensive shed, 10 feet wide by 14 feet long, are smaller than the dimensions of the most expensive shed, 15 feet wide by 21 feet long the you conclude that the former is a reduction of the latter.

Question 3: Find the scale factor from the most expensive shed to the least expensive shed.

To find the scale factor from the most expensive shed to the least expensive shed, you divide the measures of the corresponding dimensions. You can do it either with the widths or with the lengths.

Using the widths, you get: