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statuscvo [17]
3 years ago
6

Is Triangle ABC a right triangle? Why or why not?

Mathematics
2 answers:
Inessa [10]3 years ago
7 0
D. Yes, Triangle ABC is a right triangle by the Pythagorean theorem.
vfiekz [6]3 years ago
5 0

Answer:

Option B

Step-by-step explanation:

If triangle ABC is a right angle triangle then it should follow the Pythagoras theorem.

Hypotenuse² = base² + height²

So base² + height² = 10² + 14²

                               = 100 + 196

                              = 296

So Hypotenuse² = 296

Hypotenuse = √296

                     = \sqrt[2]{74}

Therefore, Option B will be the answer.

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angelo's mother put $50 on a lunch card he spends the same amount each day for lunch. what is the constant rate of change for th
Rina8888 [55]

Given that Angelo spends the same amount everyday from the amount in

the lunch card, the function of the amount remaining is a linear function.

  • The constant rate of change of the function is; <u>-5.25</u>
  • The two ordered pair used to find the constant rate of change are; <u>(1, 44.75) and (2, 39.5)</u>

Reasons:

The amount Angelo's mother put on the lunch card = $50

A possible table of values to the question is presented as follows;

\begin{tabular}{r|c|c|c|c|}Days&0&1&2&3\\Money Remaining&&44.75&39.5&\end{array}\right]

Required:

The constant rate of the function that gives the amount remaining from the

amount Angelo's mother put on his lunch card.

Solution:

  • Slope \ or \ constant \ rate \ of \ change  = \mathbf{\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}

The two ordered pair that can be used to find the slope or constant rate of change are;

(x₁, y₁) = (1, 44.75), and (x₂, y₂) = (2, 39.5)

With the above two ordered pairs, we have the constant rate of change of the function given as follows;

Constant \ rate \ of \ change\  (The \ slope) =\dfrac{39.5-44.75}{2-1} = \mathbf{ -5.25}

The constant rate of change for the function that gives the amount remaining in the lunch card is; <u>-5.25</u>

Learn more about the constant rate of change of a function here:

brainly.com/question/10007759

brainly.com/question/16644839

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