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navik [9.2K]
3 years ago
10

Determine if the two triangles are congruent. If they are, state how you know.

Mathematics
1 answer:
mr Goodwill [35]3 years ago
6 0

Answer:

B) SAS

Step-by-step explanation:

The angles between the two known equal sides are called a vertical angle and are equal. Thus you know Side-Angle-Side proves congruency.

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Boris pays $3.84 for a bag of 16 tangerines.
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3.84/16 = 0.24 per tangerine
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Leo checks his pantry to see how much cat food he has. He finds a bag of Paw Picnic cat food with 3 cups left in it. Leo feeds h
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9 days- one cup has 3 1/3 cups in it
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Which is equivalent to 3/8x?
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b.

Step-by-step explanation:

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3 years ago
Aditya's dog routinely eats Aditya's leftovers, which vary seasonally. As a result, his weight fluctuates throughout
wariber [46]

Based on the weight and the model that is given, it should be noted that  W(t) in radians will be W(t) = 0.9cos(2πt/366) + 8.2.

<h3>How to calculate the radian.</h3>

From the information, W(t) = a cos(bt) + d. Firstly, calculate the phase shift, b. At t= 0, the dog is at maximum weight, so the cosine function is also at a maximum. The cosine function is not shifted, so b = 1.

Then calculate d. The dog's average weight is 8.2 kg, so the mid-line d = 8.2. W(t) = a cos t + 8.2. Then calculate a, the dog's maximum weight is 9.1 kg. The deviation from the average is 9.1 kg - 8.2 kg = 0.9 kg. W(t) = 0.9cost  + 8.2

Lastly, calculate t. The period p = 2π/b = 2π/1 = 2π. The conversion factor is 1 da =2π/365 rad. Therefore, the function with t in radians is W(t) = 0.9cos(2πt/365) + 8.2.

Learn more about radians on:

brainly.com/question/12939121

7 0
3 years ago
The local gym holds three 45-minute workout sessions and two 30-minute sessions each week. Judy attended all of the sessions thi
lbvjy [14]

The local gym holds three 45-minute workout sessions and two 30-minute sessions each week. Then the, total number of minutes Judy worked out for the week was 155 minutes.

We are to determine the total number of minutes Judy worked out for the week.

The gym holds three 45-minute workout sessions and two 30-minute sessions each week

So,

We can write,

The total number of minutes the gym holds workout sessions is

3 × 45 + 2 × 30

= 135 + 60

= 195 minutes

Also, from the information,

Judy left 5 minutes early during the 30-minute sessions and 10 minutes early during the 45-minute sessions.

The total number of minutes Judy didn't attend is

= 3 × 10 + 2 × 5

= 30 + 10

= 40 minutes

Then,

The total number of minutes Judy worked out for the week was,

= 195 minutes - 40 minutes

= 155 minutes

Therefore,

The total number of minutes Judy worked out for the week was 155 minutes.

To learn more about visit Calculating time :

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1 year ago
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