There is a bag filled with 4 blue and 5 red marbles.

Find the measure of the indicated angle

Romashka-Z-Leto [24]

Angle A is 78 because Ab is equal to the Ac

5 0

3 years ago

A house was valued at $540,000 last year. The house has now appreciated and increased in

Zigmanuir [339]

Answer:

The house worth now: $540,000*(1+4%)= $561,600

Step-by-step explanation:

4 0

3 years ago

Select the system of linear inequalities whose solution is graphed. Please help !!!!

GrogVix [38]

$\boxed{y\geq 3x-2, \ x+2y\leq 4}$

<h2>Explanation:</h2>

First of all, we need to know the equations of the given lines. According to the options the equations of the lines are:

1. First equation: Written in Slope-Intercept Form:

$y=3x-2$

2. Second equation: Written in Standard Form:

$x+2y=4$

According to the graph, both lines are dashed meaning both inequalities must include either ≥ or ≤. So let's taste a point on the coordinate system in order to know which option is satisfied:

Hence, let's take point (0, 0):

$y \ (?) \ 3x-2 \\ \\ 0 \ (?) \ 3(0)-2 \\ \\ 0 \ (?) \ -2 \\ \\ \\ So \ 0 \ is \ greater \ than \ -2: \\ \\ 0\geq 2 \\ \\ \\ \\ x+2y \ (?) \ 4 \\ \\ 0+2(0) \ (?) \ 4 \\ \\ 0 \ (?) \ 4 \\ \\ \\ So \ 0 \ is \ less \ than \ 4: \\ \\ 0\leq 4$

Therefore, the correct option is:

$\boxed{y\geq 3x-2, \ x+2y\leq 4}$

<h2>Learn more:</h2>

System of inequalities: brainly.com/question/12890742

#LearnWithBrainly

6 0

3 years ago

A right rectangular pyramid is sliced vertically (down) at the red line by a plane not passing through the vertex of the pyramid

crimeas [40]

The cross-section of a right rectangular pyramid will be shaped similar to the base, that is, a rectangle. Hence, 4th option is the right choice.

If the peak of the rectangular pyramid is directly above the center of the base, it creates a perpendicular to the base, indicating the height of the pyramid. This type of rectangular pyramid is known as the right rectangular pyramid.

A rectangle is a quadrilateral, that is a closed figure with 4 line segments, with all four interior angles at 90°.

When we slice a right rectangular pyramid vertically down at the red line by a plane, not passing through the vertex, of the pyramid will be a dilated image of its base.

A dilated image is an enlarged or diminished image of the preimage, similar with all angles.

Thus, the cross-section of a right rectangular pyramid will be shaped similar to the base, that is, a rectangle. Hence, 4th option is the right choice.

Learn more about right triangular pyramids at

brainly.com/question/27658401

#SPJ4

For complete question, refer to the attachment.