The Pythagorean theorem deals with the lengths of the sides of a right triangle. The theorem states that: The sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.
Answer:
m∠J = 45° , m∠I = 45° and m∠M = 90°
And the ΔJIM is an isosceles right angled triangle.
Step-by-step explanation:
(a). In ΔJIM,
∠J = 2x + 15,
∠I = 5x - 30, and
∠M = 6x
Now, using angle sum property of a triangle that sum of all the angles in a triangle is 180°
⇒ ∠J + ∠I + ∠M = 180°
⇒ 2x + 15 + 5x - 30 + 6x = 180°
⇒ 13x -15 = 180°
⇒ 13x = 195
⇒ x = 15
Therefore, m∠J = 45° , ∠I = 45° and m ∠M = 90°
(b). Now, ΔJIM is a right angled triangle right angled at M.
Also, ∠J = ∠I = 45°
So, JM = IM ( because in a triangle sides opposite to equal angles are equal)
So, ΔJIM is an isosceles triangle because its two sides are equal.
Hence, ΔJIM is a right angled isosceles triangle right angled at M.
Answer:
Concept: Modeling expressions
- We are given the equation
- We want to find the time after 0.75 seconds given that t is represented in seconds.
- Hence we do
- Hence we get the answer to 191 feet
Answer: I believe it would be 2.90
Step-by-step explanation:
It's a simple linear equation in a single variable, 'y' . Its solution is the number
that 'y' must be in order to make the equation a true statement. Here's how to
find the solution:
Write the equation: <span>15 = -y + 10
Subtract 10 from each side: 5 = -y
Multiply each side by -1 : <u>-5 = y</u>
</span>
