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Mathematics

1 answer:

FrozenT [24]3 years ago

6 0

Answer:

Perimeter of Triangle ABC is 21

Step-by-step explanation:

According to the Midpoint Theorem, if the line segment adjoins midpoints of any of the sides of a triangle, then the line segment is said to be parallel to all the remaining sides, and it measures about half of the remaining sides.

In this case, since XY=7, then AZ+ZC will need to equal 14 as that's opposite of half. Since AZ=ZC given that they are congruent, then AZ=7. Therefore the perimeter is XA+XZ+AZ=5+9+7=21

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At the grand opening of a movie theater, every 12th customer received a free bag of popcorn and every 30th customer received a f

AlexFokin [52]

Answer:

Your answer would be the 60th

Step-by-step explanation:

This is your solution due to the fact that when you find the multiples of 12 and 30 you will realize that that's the first number they meet at, let me show you.

Multiples of 12 - 12, 24, 36, 48, 60

Multiples of 30 - 30, 60, 90, 120, 150

So The Least Common Denominator is 60!

Thus that is how I know that the 60th customer at the movie theater would get both items for free.

Hope This Helped!

6 0

3 years ago

Write an equation to represent the following description.

AysviL [449]

Answer:

5x+13=-3

Step-by-step explanation:

5x+13=-3

4 0

3 years ago

What can 12 and 30 both be multiplied by to have the simplest answer?. I'm really confused. Thanks for your help

netineya [11]

Sorry if Im wrong but I think 2 and 3

5 0

3 years ago

Read 2 more answers

A 30-inch chord in a circle is 8 inches from the center of the circle, as shown in the following figure.

dimaraw [331]

Answer:

17 inches

Step-by-step explanation:

See the attached image. Connect the center of the circle to one endpoint of the chord. That forms a right triangle because the radius is drawn perpendicular to the chord -- that's how the distance from center to chord is measured.

The radius splits the chord into two equal parts, each 15 inches long.

The right triangle has legs 8 and 15, so use the Pythagorean Theorem.

$r^2=8^2+15^2\\r^2=64+225\\r^2=289\\r=\sqrt{289}\\r=17$