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Bad White [126]
4 years ago
10

Choose a counterexample that proves that the conjecture below is false.. abc is a right triangle, so angle A measures 90 degrees

. 1. Angle c is 30 degrees. 2.Angle b is 90 degrees. 3. Angle c is 20 degrees. 4. Angle b is an obtuse angle
Mathematics
2 answers:
andre [41]4 years ago
6 0
Choose a counterexample that proves that the conjecture below is false.. abc is a right triangle, so angle A measures 90 degrees.

Answer: Out of all the options shown above the one that represents the counterexample that proves that the conjecture presented above is false is answer choice 2. Angle b is 90 degrees. The reason being that in a right angle there is only one angle that measures 90 degrees.

I hope it helps, Regards.
vazorg [7]4 years ago
5 0
I think the answer is : 2. angle b is 90 degrees

The sum of the three angle of the triangle must be equal to 180 degrees. If both angles a and angle b is 90 degrees, that won't leave any more room for angle c

hope this helps
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The function c = 100 + 0.30m represents the cost c (in dollars) of renting a car after driving m miles. What would the cost be t
aleksley [76]

Answer:

c = $130

Step-by-step explanation:

Given:

c = 100 + 0.30m

Where,

c = cost of renting a car (in dollars)

m = number of miles driven (in miles)

If m = 100 miles

c = 100 + 0.30m

= 100 + 0.30(100)

= 100 + 30

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7 0
3 years ago
An elevator can hold a maximum of 1500 pounds. An average child weighs 75 pounds and the average adult weighs 150 pounds. The el
CaHeK987 [17]

<u>Let's take this problem step-by-step</u>:

<u>Let's first set up some variables</u>:

  • c: # of children
  • a: # of adults

<u>Let's examine the information given:</u>

  • Elevator can hold a maximum of 1500 pounds

          ⇒ average child is 75 pounds

          ⇒ average adult is 150 pounds

                 ⇒<em> therefore</em>: 75c + 150a\leq 1500

  • Elevator can fit no more than 14 people

          ⇒ <em>therefore</em>: c + a \leq 14

<u>Let's graph the equations</u>:

 75c+150a\leq 1500\\c+a\leq 14

    ⇒ look at the image attached

<u>The point at which the two graphs intersect:</u>

  ⇒ <em>is the solution that represents the amount of children and adults and </em>

<em>       their combine weight</em>

<em />

<u><em>With the horizontal axis being the # of children and vertical axis being the # of adults</em></u><em>:</em>

<em>  ⇒ the </em><em>solution is 8 children and 6 adults</em>

<em></em>

<u>Answer: 8 children and 6 adults</u>

<u></u>

Hope that helped!

<em />

               

7 0
2 years ago
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miss Akunina [59]

Answer:

The speed is 16 kilometers per hour.

The cyclist will travel 80 kilometers in 5 hours.

4 0
3 years ago
30-60-90 Triangle Practice
ella [17]

Answer:

When there are numbers like that next to the radical it means multiply. like this: 2<u>√9</u>. You would first figure out the square root. <u>Square root of 9</u> is 3. 2 times 3 is 6.

After you figure out those problems, you just need to put the number, x, and y in an equation with 2 unknowns.

Step-by-step explanation:

4 0
2 years ago
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It is between yes or no
Vlad1618 [11]

Answer:

yes

Step-by-step explanation:

5 0
3 years ago
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