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3 years ago

If a ray divides an angle into two complementary angles, then the original angle is a right angle

Mathematics

2 answers:

lilavasa [31]3 years ago

5 0

No as complementary angles add up to whisk 180 degrees, however supplementary angle would be true for this question

Umnica [9.8K]3 years ago

3 0

Answer:

The given statement is true.

Step-by-step explanation:

If a ray divides an angle into two complementary angles, then the original angle is a right angle - This is true.

Complementary angles are those, which sum up to be 90 degrees.

As the new two angles are complimentary, the original angle is a right angle.

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How did Ramses ll use the military to improve the Egyptian empire?

Travka [436]

True Answer

A. He used military to retake old egyptian territory.

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3 years ago

A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.

Tanzania [10]

Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.

Step-by-step explanation:

The volume of a cone can be calculated with this formula:

$V=\frac{\pi r^2h}{3}$

Where "r" is the radius and "h" is the height.

We know that the radius is half the diameter. Then:

$r=\frac{12cm}{2}=6cm$

We know the volume and the radius of the conical container, then we can find "h":

$120\pi cm^3=\frac{\pi (6cm)^2h}{3}\\\\(3)(120\pi cm^3)=\pi (6cm)^2h\\\\h=\frac{3(120\pi cm^3)}{\pi (6cm)^2}\\\\h=10cm$

The diameter and height doubled are:

$d=12cm*2=24cm\\h=10cm*2=20cm$

Now the radius is:

$r=\frac{24cm}{2}=12cm$

And the container capacity is

$V=\frac{\pi (12cm)^2(20cm)}{3}=960\pi cm^3$

Then, to compare the capacities, we can divide this new capacity by the original:

$\frac{960\pi cm^3}{120\pi cm^3}=8$

Therefore, the container's capacity would be 8 times its original capacity.

6 0

2 years ago

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How is the shape of a child based on the parents shape

klemol [59]

Answer:

The child has chromosomes from both parents, so the child's shape is based on their parents shape.

Step-by-step explanation:

7 0

2 years ago

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Find the Area of the shaded part.

Westkost [7]

To find the area of the shaded part we have to subtract the rectangle area from the triangle area :

$s = \frac{1}{2} \times (8x + 2)(6x) - (x)(3x + 1) \\$

$s = \frac{1}{2} \times (48 {x}^{2} + 12x) - (3 {x}^{2} + x) \\$

$s = \frac{48}{2} {x}^{2} + \frac{12}{2} x - 3 {x}^{2} - x \\$

$s = 24 {x}^{2} + 6x - 3 {x}^{2} - x$

$s = 24 {x}^{2} - 3 {x}^{2} + 6x - x$

$s = 21 {x}^{2} + 5x$

And we're done

Have a great day ♡

4 0

2 years ago

Three witches were making a brew and needed to triple there recipe the original recipe called for 1 and 1/3 cups of bug splatter

sesenic [268]

Answer:

Bug splatter needed: 4 cups

Sardines needed: 1 and 2/4 cups or 1 and 1/2 cups

Dirty dish water needed: 2 cups

Step-by-step explanation:

1 and 1/3 cups x 3 = 4 cups

2/4 cups x 3 = 1 and 2/4 or 1 and 1/2 cups

2/3 cups x 3 = 2 cups

4 0

3 years ago