In the diagram below, AC is perpendicular to BD. Find X.

To find "What fraction of students prefer Mt Rushmore over Grand Canyon ?", we need to take away Grand Canyon [tex] (\frac{8}{28} ) [/tex] from Mt Rushmore [tex] (\frac{14}{28} ) [/tex]

[tex] \frac{14}{28} - \frac{8}{28}\\\\ When \; we \; have\; like\; fractions\; with\; same\; denominator,\; we \; should\; combine \; numerator \\ \\ \frac{14-8}{28} \\ \\ \frac{6}{28} [/tex]

[tex] Divide \; numerator\; and \; denominator\; by \; common\; factor\; 2\\ \\ \frac{6 \div2 }{28 \div 2} = \frac{3}{14} [/tex]

Conclusion:

6/28 fraction of students prefer Mt Rushmore over Grand Canyon.

3/14 is the simplest form of above fraction.

Total money earned by Juan = 3w-6

Now Juan saved 1/3 of the money.

So money Juan spent will be 2/3 of what he earned.

Money Juan spent :

[tex] \frac{2}{3} (3w-6) [/tex]

Simplifying we get :

2w-4

Emma wrote the expression as 2(3w-6) which is not equal to 2w-4.

So we can say that the expression found by Emma was incorrect .

Answer: The correct options are A and D.

Explanation:

If we want to find the average rate of change from the beginning of the slide to when the slide has covered a horizontal distance of 15 feet, the we have to find the initial point and point where horizontal distance is 15 feet.

In the given graph x axis represents the horizontal distance and y axis represents the height of the slide.

From the figure it is crealy noticed that the coordinates of the points are (0,80), (5,40), (10,20), (15,10) and (20,5).

Since at the initial point the horizontal distance is 0, so the coordinates of initial point is (0,80).

The coordinates of the point where horizontal distance is 15, are (15,10).

Therefore to find the slope or average rate of from the beginning of the slide to when the slide has covered a horizontal distance of 15 feet the required points are (0,80)and (15,10). So option A and D are correct.

Answer:

A and D

Step-by-step explanation:

Just took it. Edg 2020. Hope this helps :)

Final answer:

The equivalent ratios to 4:9 are 20:45, 12:27, and 8:18 because they all simplify proportionally to 4:9.

Explanation:

To determine which of the given ratios are equivalent to 4:9, we need to have ratios that can be simplified to 4:9 or for which 4:9 can be scaled up proportionally. We check each given ratio by either simplifying it or finding a common multiplier that would lead us back to 4:9.

Therefore, 20:45, 12:27, and 8:18 are equivalent ratios to 4:9.

The probability of picking a blue shirt from the drawer is 4/5 or 0.8

The probability of picking a blue shirt from a drawer with 8 blue shirts and 2 white shirts can be calculated as follows:

Probability of picking a blue shirt = Number of blue shirts / Total number of shirts

Probability of picking a blue shirt = 8 / (8 + 2)

Probability of picking a blue shirt = 8/10

Probability of picking a blue shirt = 4/5

Therefore, the probability of picking a blue shirt from the drawer is 4/5 or 0.8.

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The value of the surface area of this cube is,

⇒ 1536 feet²

A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.

Given that;

One side of a cube = 16 feet

We know that;

the surface area of this cube is,

⇒ 6 × (side)²

Here, Side = 16 feet

Thus, The value of the surface area of this cube is,

⇒ 6 × (side)²

⇒ 6 × (16)²

⇒ 6 × 256

⇒ 1536 feet²

Thus, The value of the surface area of this cube is,

⇒ 1536 feet²

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Answer:

The original graph will shift 6 units down.

Step-by-step explanation:

Given : If the equation y = x + 4 is changed to y = x - 2.

To find : How will the graph of the equation change.

Solution : We have given

Original graph equation : y =  x + 4.

Transformed equation : y = x -2.

y =  x + 4 →→ y = x - 2.

If we subtract the 6 from 4 it become - 2

We can see x + 4 -6 = x -2 .

So , y = x +4 -6  →→ y = x - 2.

By the transformation rule : f(x) →→  f(x) - k it mean graph shifted down by k units.

Then the original graph will shift 6 units down.

Therefore, The original graph will shift 6 units down.

This should get you a hundred on the 4.11 quiz. :)

9(x ∙ y), the distributive property is not used because (x ∙ y) = xy which means that only one term can be multiplied by the term outside the parenthesis. 

 (7 ∙ a)(b), the distributive property is not used because (7 ∙ a) = 7a which means that only one term can be multiplied by the term outside the parenthesis. 

To find the angle supplementary to <COB, we must look for an angle that adds up to 180 degrees with <COB. Assuming <COD is adjacent and forms a straight line with <COB, option 2. COD would be the supplementary angle.

The subject of this question is Mathematics, and it requires an understanding of angle relationships, particularly supplementary angles. Supplementary angles are two angles whose measures add up to 180 degrees.

Based on the given theorems and proofs, we must assume that the angles are situated such that finding the angle supplementary to <COB involves identifying an angle that, when combined with <COB, equals 180 degrees.

Given the options provided:

The correct answer to find the angle supplementary to <COB is 2. COD, assuming that <COB and <COD are adjacent angles forming a straight line.

The height of the kite above the ground is approximately 134.82 feet.

To find the height of the kite above the ground, we can use trigonometry. The string of the kite forms a right triangle with the height of the kite as the vertical side and the length of the string as the hypotenuse. We can use the sine function to find the height. sine(64°) = height/150. Rearranging the equation, we get height = 150 * sine(64°).

Using a calculator, we find that sine(64°) ≈ 0.8988. Therefore, height ≈ 150 * 0.8988 ≈ 134.82 feet.

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Answer:

15/24 i think'

Step-by-step explanation:

Answer:

kerries because they are spending money not gaining and it will be B

Step-by-step explanation:

Answer: The angles are 100 degrees, and 80 degrees.

Here's an explanation:

It says that the ratio of the angles are 4:5. In a rhombus, the opposite angles are equal to each other. So, the it would be (4*2)+(5*2) = 360 degrees, since the ratio symbolizes the angle measurements. So, if you calculate that, then 18 units is 360 degrees. 4 units is 80 degrees, and 5 units is 100 degrees.

A rhombus is a quadrilateral. The angles of the rhombus are 80°, 100°, 80°, and 100°.

A rhombus is a quadrilateral such that the pair of opposite sides of the quadrilateral are parallel, and all the sides of the quadrilateral are equal.

As we know that if the ratio of the angles formed by the diagonals and the sides is 4:5, then the ratio of the angles of the rhombus is also 4:5. Also, the pair of opposite angles of a rhombus are equal to each other. Therefore, the angles of the rhombus are 4x, 5x, 4x, and 5x.

Now, as the sum of adjacent angles of a rhombus is 180. Therefore, we can write the sum as,

[tex]4x+5x=180\\\\ 9x=180\\\\x=20[/tex]

Further, the measure of the angles can be written as,

[tex]4x = 4(20) =80^o\\\\5x = 5(20) =100^o\\\\4x = 4(20) =80^o\\\\5x = 5(20) =100^o\\[/tex]

Hence, the angles of the rhombus are 80°, 100°, 80°, and 100°.

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