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3 years ago

A wise man once said, “ 500 reduced by 4 times my age is 268.” What is his age?

Mathematics

1 answer:

Alla [95]3 years ago

8 0

Answer:

58 years old

Step-by-step explanation:

the equation would be 500-4x=268 with x being his age.

subtract both sides by 500 to get -4x=-232

then divide both sides by -4 to get x=58

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The center of the inscribed circle of Triangle ABC is point , and the center of the circumscribed circle of Triagnle ABC is poin

quester [9]

Answer:

Part A: The center of The inscribed circle is the point S

Part B: The center of The circumscribed circle is the point P

Step-by-step explanation:

Part A: Find the center of The inscribed circle of ΔABC

The inscribed circle will touch each of the three sides of the triangle in exactly one point,

The center of the inscribed circle is the point of intersection between the angle bisectors of the triangle.

So, According to the previous definition:

A₁A₂ and B₁B₂ are the angle bisectors of ∠A and ∠B

So, the inter section between them is the center of The inscribed circle

So, the center of The inscribed circle is the point S

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Part B: Find the center of The circumscribed circle of ΔABC

The circumscribed circle is the circle that passes through all three vertices of the triangle.

The center of the circumscribed circle is the point of intersection between the perpendicular bisectors of the sides.

So, According to the previous definition:

P₁P₂ and Q₁Q₂ are the perpendicular bisectors of AB and BC

So, the inter section between them is the center of The circumscribed circle

So, the center of The circumscribed circle is the point P

5 0

4 years ago

An object’s speed decreases by 6% for each minute that it is slowing down. What is the percent that it’s speed will decrease ove

Zarrin [17]

It says decreasing so you have to turn it into a percent (.06%) and then sub tract that from 1. After that you put that into an equation.

3 0

3 years ago

Sing acts are 5 min long and comedy acts are 3 min long. The show has 12 acts and last 50 min. How many singing acts and how man

ryzh [129]

Answer

so there are 7 singing acts and 5 comedy acts.

Step-by-step explanation:

Let x= number of singing acts.

Let y= number of comedy acts.

We will take x+y=12 as our first equation, as there are 12 shows in total. We will take 5x+3y=50 as our second equation as there are 50 total minutes, and singing acts are 5 mins and comedy acts are 3 mins.

We solve x+y=12

Y=-x+12

We know y=-x+12, so we will substitute that for the y in the second equation.

1. Substitute 5x+3(-x+12)=50

2. Distribute 5x-3x+36=50

3. Solve 2x+36=50

2x=14

X=7

Now that we have found x, we will find y by substitute the x in 5x+3y=50 with the value, 7, that we found for x.

5(7)+3y=50

35+3y=50

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Y=5

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3 years ago

Hurry please!!!!

Ivenika [448]

The answer is B cot

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3 years ago

100 cm is equal to: A. 0.1 m B. 1,000 m C. 10 m D. 1 m

Scrat [10]

Answer:

D. 1 m

Step-by-step explanation:

100 cm = 1 m

This is a conversion factor

3 0

4 years ago

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