All categories

3 years ago

Part 1:

Mathematics

1 answer:

Delicious77 [7]3 years ago

6 0

Based on the triangle sum theorem and the triangle inequality theorem:

1. B. 23°, 67°, 90°.

2. A. 1 cm, 2 cm, 3 cm.

<h3>What is the Triangle Sum Theorem?</h3>

According to the triangle sum theorem, all three interior angles of any triangle has a sum of 180 degrees.

What is the Triangle Inequality Theorem?

Based on the triangle inequality theorem, one side of a triangle must be less than or equals the sum of any other two sides of the triangle. (a + b ≥ c).

Part 1:

23° + 67° + 90° = 180°, therefore, based on the triangle sum theorem, the set of angle measures that could be the interior angles of a triangle is: B. 23°, 67°, 90°.

Part 2:

1 + 2 = 3

1 + 3 > 2

2 + 3 > 1

Therefore, based on the triangle inequality theorem, the set of side lengths that could be that of the sides of a triangle is: A. 1 cm, 2 cm, 3 cm.

Learn more about the triangle sum theorem on:

brainly.com/question/7696843

#SPJ1

You might be interested in

A snack food company decreases the size of their single-serving size tortilla chips bag to 3.0

Eduardwww [97]

Maybe 10% because if u were above it it would have been

6 0

3 years ago

Someone help me answer this please i will mark brainliest x

Mkey [24]

11.2 ft

If it is a ratio just find what the scale number is by doing 14/40 = .35
Then .35 * 32 = 11.2

8 0

3 years ago

Find the supplementary angle of 118.4°.

KatRina [158]

Answer

61.6º

Step-by-step explanation:

3 0

3 years ago

Guysss plsss HEELPPP ME ILL MARK BRAINLIEST PLLLSSSSSS HELP

Vitek1552 [10]

Answer:

$y=-2\,(x-6)^2+246$

with the video game cost of x = $6

This agrees with the last option in the list of possible answers

Step-by-step explanation:

Recall that the maximum of a parabola resides at its vertex. So let's find the x and y position of that vertex, by using first the fact that the x value of the vertex of a parabola of general form:

$y=ax^2+bx+c$

is given by:

$x_{vertex}=\frac{-b}{2\,a}$

In our case, the quadratic expression that generates the parabola is:

$y=-2x^2+24x+174$

then the x-position of its vertex is:

$x_{vertex}=\frac{-b}{2\,a}\\x_{vertex}=\frac{-24}{2\,(-2)}\\x_{vertex}=\frac{-24}{-4)}\\x_{vertex}=6$

This is the price of the video game that produces the maximum profit (x = $6). Now let's find the y-position of the vertex using the actual equation for this value of x:

$y=-2x^2+24x+174\\y_{vertex}=-2\,(6)^2+24\,(6)+174\\y_{vertex}=-72+144+174\\y_{vertex}=246$

This value is the highest weekly profit (y = $246).

Now, recall that we can write the equation of the parabola in what is called "vertex form" using the actual values of the vertex position $(x_{vertex},y_{vertex})$ :