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lys-0071 [83]
3 years ago
6

On a​ map, 1 inch equals 10 miles. Two cities are 8 inches apart on the map. What is the actual distance between the​ cities?

Mathematics
1 answer:
cestrela7 [59]3 years ago
5 0

Answer:

80 inches the reason for this is 10 times 8 equals 80

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A cube's edge lengths are each 5 inches. A rectangular prism's length and width are also 5 inches, but its height is 7
algol [13]

The rectangular prism is 187.5 - 125 = 62.5 cu.inches greater than the volume of cube.

<h3>What is Volume?</h3>

Volume is defined as the space occupied by a three dimensional figure.

It is given that

A cube's edge lengths are each 5 inches

A rectangular prism's length and width are also 5 inches, but its height is \rm 7\dfrac{1}{2}

The volume of the cube is given by side * side * side

Volume of cube = 5 *5 * 5 = 125 cu. inches

The volume of cuboid = length * width * height

<h3>Volume of Cuboid = 5  * 5 * 15/2</h3>

Volume of Cuboid = 187.5 cu.inches.

Therefore the rectangular prism is 187.5 - 125 = 62.5 cu.inches greater than the volume of cube.

To know more about Volume

brainly.com/question/1578538

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2 years ago
What additional information will allow you to prove the triangles congruent by the HL Theorem?
marissa [1.9K]

Answer:

The correct option is 3.

Step-by-step explanation:

The HL theorem states that 'if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.'

From the given figure it is noticed that triangle ABC and triangle EDC. In triangle  ABC and triangle EDC, hypotenuses of triangles are AB and DE respectively.

To use HL hypotenuse and one leg of triangles must be equal.

AB=DE                             (hypotenuse)

AC=DC                             (leg)

BC=EC                              (leg)

Therefore the additional information  AC=DC  will allow you to prove the triangles congruent by the HL Theorem. Option 3 is correct.

8 0
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Will vote brainliest. Thanks!!!
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I believe that the answer to your question is B !
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