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2 years ago

Fund the value of n

Mathematics

1 answer:

evablogger [386]2 years ago

8 0

Answer:

If (n-2) (n-3) = 12, what is the value of n?

97 answers

Step-by-step explanation:

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Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong and show Jocel

AfilCa [17]

Complete Question:

Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong, and show Jocelyn the correct solution.

We need to check if 27² + 45² = 36² is a true statement. The left side of the equation is equal to 2,754. The right side of the equation is equal to 1,296. That means 272 + 452 = 362 is not true, and the triangle shown is not a right triangle

Answer/Step-by-step explanation:

Jocelyn used a wrong equation and statement.

Here's what she should have stated and done.

Using the converse of Pythagorean Theorem, which says that a triangle with sides a, b, and c is a right triangle if it satisfy the statement: a² + b² = c².

Where, c is the hypotenuse which is the longest leg. While a and b are the side lengths of the other two legs.

Therefore, in this case,

c = 45

b = 27

a = 36

Thus, what we need to check to be true would be:

36² + 27² = 45² (this is where Jocelyn made a mistake. Jocelyn wrote 27² + 45² = 36² rather)

Let's check if it's true.

2,025 = 2,025 (this is true)

Therefore, the triangle is a right triangle.

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2 years ago

I need help with this. A picture for #8 is above.

Sonja [21]

Since the lengths of the segments AD=PD are equal that means that the triangle is an isosceles triangle. This also means that the angles A and P (in the triangle) are equal.

This also means that the angle P' (the one inside the quadrilateral) is equal to:

$180-\measuredangle B$

Now, if we extend the sides DP and CB we notice that the angles P' and Q

are equal

The only way that this angles can be equal is if the line segments DP and CB are parallel, this comes from the fact that two alternate interior angles are equal if and only if the lines are parallel.

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