NEED HELP ASAP!!<br>what is the speed of the car

The longest side is opposite to the largest interior angle while the shortest side of the triangle is always directly opposite the shortest interior angle in that triangle.

<h3>What is the Exterior Angle Theorem?</h3>

The exterior angle theorem states that the sum of the opposite angles to an exterior angle in a triangle equals the measure of that exterior angle.

1. The angles of a triangle are relative to the length of their opposite sides. Therefore, if MI which is relative to ∠1 is 15 and IX which is relative to ∠3 is 12, it implies that m∠1 is greater than m∠3.

2. Given, m∠1 = 65° and is relative to side MI, and m∠3 = 50° and is relative to side IX, therefore, side MI is longer or greater than side IX.

3. Given, MI = 15; IX = 12, based on the triangle inequality theorem, the measure of MX would be determined as shown below:

15 - 12 < MX < 15 + 12

3 < MX < 27

4. Given, m∠2 = 65°; m∠3 = 50°. Based on the exterior angle theorem, we have:

m∠4 = m∠2 + m∠3

Substitute

m∠4 = 65 + 50

m∠4 = 115°

Learn more about the triangle inequality theorem on:

brainly.com/question/309896

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5 0

1 year ago

3) Katie’s family went out to dinner. The dinner bill was $85 and the family gave the server a 20% tip.

Flura [38]

Answer:

a) actual tip amount is $17

b) Total of dinner is $102.

Step-by-step explanation:

Given:

Dinner bill = $85

Tip for server = 20%

a) We need to find the actual tip given to server as it is in percent form.

To find actual tip we will divide the tip given to server in percent with total dinner bill and then multiply it with hundred.

Actual Tip amount = $\frac{20}{100} \times 85 = \frac{1700}{100}\ =\$17$

In Calculator first we will put 20 multiplied 85 we get 1700 and then in Calculator we will put 1700 and then divide by 100 we get $17

Hence the actual tip amount is $17.

b) We need to find the total of the dinner.

To find total of the dinner we will add dinner bill with actual amount paid to server.

Total of dinner = Dinner bill + Actual tip amount = $85 + $17 = $102

In Calculator we will first put the number 85 and then add 17 with it which gives 102

Hence Total of dinner is $102.

7 0

2 years ago

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NEED HELP ASAP!!what is the speed of the car