Which of the following exponential regression equations best fits the data shown below?

A segment can have more than one bisector.<br> True<br> False

insens350 [35]

<span>Can a Segment have more than one bisector. Yes A segment can have more than one bisector. For every line segment, there is one perpendicular bisector that passes through the midpoint. There are infinitely many bisectors, but only one perpendicular bisector for any segment.</span>

4 0

3 years ago

There are 30 boys in a sporting club. 20 of them play hockey and 15 play volleyball. Each boys plays at least one of the two gam

SVETLANKA909090 [29]

Answer:

<em>5 boys play all the two games</em>

Step-by-step explanation:

There are two sets defined in the question: one for the boys who play hockey (H) and the other for the boys who play volleyball (V).

All the boys play at least one of the two games, so no elements are outside both sets.

There are 30 boys in total. 20 of them play hockey and 15 play volleyball. Since the sum of both numbers is greater than the total of boys, the difference corresponds to the boys who play both games.

Thus 20 + 15 - 30 = 5 boys play both games

Given that 5 boys are shared by both sets, from the 20 playing hockey, 15 play ONLY hockey. From the 15 boys playing volleyball, 10 play ONLY volleyball.

Thus 15 + 10 = 25 boys play only one game.

The Venn diagram is shown in the image.

7 0

3 years ago

Check answer please

Cerrena [4.2K]

The fourth or the D) Option is correct.

To find the new induced matrix via a scalar quantified multiplication we have to multiply the scalar quantity with each element surrounded and provided in a composed (In this case) 3×3 or three times three matrix comprising 3 columns and 3 rows for each element which is having a valued numerical in each and every position.

Multiply the scalar quantity with each element with respect to its row and column positioning that is,

Row × Column. So;

(1 × 1) × 7, (2 × 1) × 7, (3 × 1) × 7, (1 × 2) × 7, (2 × 2) × 7, (3 × 2) × 7, (1 × 3) × 7, (2 × 3) × 7 and (3 × 3) × 7. This will provide the final answer, that is, the D) Option.

To interpret and make it more interesting in LaTeX form. Here is the solution with LaTeX induced matrix.

$\mathcal{A = \begin{bmatrix}1 & 0 & 3 \\ 2 & -1 & 2 \\ 0 & 2 & 1 \\ \end{bmatrix}}$

$\mathbf{\therefore \quad 7A = 7 \times \begin{bmatrix}1 & 0 & 3 \\ 2 & - 1 & 2 \\ 0 & 2 & 1 \\ \end{bmatrix}}$

$\mathbf{\therefore \quad \begin{bmatrix}7 \times 1 & 7 \times 0 & 7 \times 3 \\ 7 \times 2 & 7 \times -1 & 7 \times 2 \\ 7 \times 0 & 7 \times 2 & 7 \times 1 \\ \end{bmatrix}}$

$\therefore \quad \begin{\bmatrix}7 & 14 & 0 \\ 0 & -7 & 14 \\ 21 & 14 & 7 \end{bmatrix}$

Hope it helps.

5 0

3 years ago

Answer this correctly please BRAINLIEST+HEART+5 STARS ko yung matinong answer

Ann [662]

Applying the triangle inequality theorem and the exterior angle theorem, we have:

1. m∠1 > m∠3

2. MI > IX

3. 3 < MX < 27

4. m∠4 = 115°

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

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side of that triangle.

<h3>What is the Relationship of Sides to Interior Angles in a Triangle?</h3>

The longest side is opposite to the largest interior angle while the shortest side of the triangle is always directly opposite the shortest interior angle in that triangle.

<h3>What is the Exterior Angle Theorem?</h3>

The exterior angle theorem states that the sum of the opposite angles to an exterior angle in a triangle equals the measure of that exterior angle.

1. The angles of a triangle are relative to the length of their opposite sides. Therefore, if MI which is relative to ∠1 is 15 and IX which is relative to ∠3 is 12, it implies that m∠1 is greater than m∠3.

2. Given, m∠1 = 65° and is relative to side MI, and m∠3 = 50° and is relative to side IX, therefore, side MI is longer or greater than side IX.

3. Given, MI = 15; IX = 12, based on the triangle inequality theorem, the measure of MX would be determined as shown below:

15 - 12 < MX < 15 + 12

3 < MX < 27

4. Given, m∠2 = 65°; m∠3 = 50°. Based on the exterior angle theorem, we have:

m∠4 = m∠2 + m∠3

Substitute

m∠4 = 65 + 50

m∠4 = 115°

Learn more about the triangle inequality theorem on:

brainly.com/question/309896

#SPJ1

5 0

2 years ago

Assume that y varies directly with x. If y=9 when x=−3, find x when y=6. Enter in any fractions using a / (e.g. "1/2" is the sam

mezya [45]

Answer: 2

Step-by-step explanation:

This is a direct proportion. Since y varies as x. This will be:

y = kx

where,

y = 9

x= 3

9 = 3k

k = 9/3

k = 3

Find x when y=6

y = kx

6 = 3x

x = 6/3

x = 2

7 0

3 years ago