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docker41 [41]
3 years ago
10

Ttriangle def is a dilation of triangle abc with scale factor 2. In triangle abc the largest angle measures 82 degree what is th

e largest angle measure in triangle def
Mathematics
1 answer:
dybincka [34]3 years ago
4 0

We have been given that triangle def is a dilation of triangle abc with scale factor 2. In triangle abc the largest angle measures 82 degree and we are asked to find largest angle measure of triangle def.

Since we know that dilation stretches or shrinks the original figure. Dilation does not change or affect angle measure.

Upon dilating our triangle abc by a scale factor of 2 sides of triangle will increase but angles will remain same.  

Therefore, largest angle measure of triangle def will be 82 degrees as well.

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3 years ago
What is the length of missing side JK? Round Answer to nearest tenth please.
zvonat [6]

Given:

Triangle LJK.

LJ = 89 in, LK = 28 in and m∠L = 42°

To find:

The length of missing side JK.

Solution:

LJ = k = 89

LK = j = 28

JK = l = ?

Using law of cosine:

l^{2}=j^{2}+k^{2}-2 jk \cdot \cos L

Substitute the given values.

l^{2}=28^{2}+89^{2}-2 \cdot 28 \cdot 89 \cdot \cos 42^\circ

l^{2}=784+7921-4984 \cdot (0.7)

l^{2}=784+7921-4984 \cdot (0.7431)

l^{2}=784+7921-3703.6

l^{2}=5001.4

Taking square root on both sides.

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The length of the missing side is 70.7 in.

4 0
4 years ago
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zaharov [31]

Answer:

Option D.

A =96\pi\ cm^2

Step-by-step explanation:

The area of the circular bases is:

A_c = 2\pi(a) ^ 2

Where

a=4\ cm is the radius of the circle

Then

A = 2\pi(4) ^ 2

A = 32\pi\ cm^2

The area of the rectangle is:

A_r=b * 2\pi r

Where

b=8\ cm

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Then the area of the rectangle is:

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A_r=64\pi\ cm^2

Finally the total area is:

A = A_c + A_r\\\\A = 32\pi\ cm^2 + 64\pi\ cm^2\\\\

A =96\pi\ cm^2

7 0
4 years ago
Read 2 more answers
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TiliK225 [7]

Answer:

L = 7, W = 6

Step-by-step explanation:

All I did was I wrote out the equations, L = 2w - 5 and 2L + 2W = 26. I then substituted what L was into the equation and solves. Here's my work if you would like to see it.

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3 years ago
99,000 equals how much tens
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