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RoseWind [281]
4 years ago
15

Do the two parallelograms in the figure appear to be similar? Why or why no

Mathematics
1 answer:
sergij07 [2.7K]4 years ago
4 0

There’s no figure with this post. How do you expect me to answer this question? That said, they are similar because they have a consistent scale factor for each side. Though they are similar, they are not congruent

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Ф is the angle of elevation to the topo of the building from G.
length of leg adyacent to angle Ф=40m
length of leg opposite to angle Ф=15 m
tan Ф=leg opposite / leg adyacent=15/40=0.375
Ф=arctan 0.375=20.56º

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6 0
3 years ago
Find the perimeter of a square with side a. Are the perimeter of the square and the length of its side directly proportional qua
erik [133]

Answer:

The perimeter is 8 cm.

Yes, the perimeter of a square is directly proportional to its side length.

Step-by-step explanation:

Given:

The side length of the square is, a=2\ cm

The perimeter of a square is the sum of all of its side lengths. The perimeter of a square of side length 'a' is given as:

P=a+a+a+a=4a

Plug in a=2\ cm and find perimeter, 'P'. This gives,

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Therefore, the perimeter is 8 cm.

Now, two quantities are directly proportional only if their ratio is a constant.

Let us find the ratio of 'P' and 'a'.

We have, P=4a

Dividing both sides by 'a', we get:

\frac{P}{a}=\frac{4a}{a}\\\frac{P}{a}=4(Constant)

Therefore, the ratio of perimeter and side length is a constant. Hence, these are directly proportional quantities.

6 0
3 years ago
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3 years ago
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