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2 years ago

13

A round table has 4 legs and a rectangular table has 6 legs. If 10 tables have a total of 52 legs, how many of the legs belong t

o round tables?

1 answer:

ivolga24 [154]2 years ago

3 0

Answer:

16 because if each chair has 4 legs you multiply that by the amount of chairs you have. 4x4=16

Step-by-step explanation:

4x4=16

You might be interested in

Hannah is setting up chairs for the class play. The room has 20 chairs. What are the different ways she can arrange the chairs i

andrezito [222]

Answer:

Have them 4 by 5.

Step-by-step explanation:

If you she but 5 chairs in a row, then 3 on the side of the chairs. That would create a backward "L" type of shape.

For example, (The "o" is a chair)

OOOOO

O

O

O

As you see the the top are the 5 chairs, then side are are the 4 chairs.

Then, you will do the exact same thing but on the opposite side.

Here is the next example.

OOOOOO

O O

O O

O O

OOOOOO

Basically, arranging the chairs 4x5, it would make a rectangle.

5 0

3 years ago

You have $20 saved and you earn $11.00 an hour working part time at a dry cleaner. You want to go to a concert this summer and t

klio [65]

Answer:

C

Step-by-step explanation:

you would start your graph at $20.

you would than create a graph that goes up hourly

with the money amount increasing every hour

6 0

4 years ago

Read 2 more answers

Simplify 8(x + 6) - 10. 8x + 38 8x - 4 8x + 28

Serga [27]

Answer:

$8x+38$

Step-by-step explanation:

We want to simplify $8(x+6)-10$

We expand using the distributive property to get:

$8(x+6)-10=8x+8*6-10$

This implies that:

$8(x+6)-10=8x+48-10$

We perform the subtraction now to get:

$8(x+6)-10=8x+38$

8 0

3 years ago

Write a coordinate proof for the following statement: Any triangle ABC formed so that vertex C is on the perpendicular bisector

AnnyKZ [126]

Answer:

Answer is contained in explanation.

Step-by-step explanation:

Description of visual:

I started with the first picture. This is a picture of triangle ABC.

Now I'm going to draw a line segment from vertex C such that it is a perpendicular bisector of AB.

Proof:

CM is a perpendicular bisectors of AB is a given.

From this we can concluded by definition of perpendicular angles that angle AMC and angle BMC are right angles.

Since angles AMC and BMC are right angles, then they are congruent to each other.

By the definition of bisector and since CM bisects AB, then AM is congruent to MB.

By the reflexive property, we have that CM is congruent to CM.

We can conclude the two triangles, triangle CMA and CMB, are congruent by SAS Postulate.

Since triangles CMA and CMB are congruent, we can conclude that their corresponding parts are congruent.

Since their corresponding parts are congruent, then we now know that side CA and side CB are congruent.

Since two sides of the triangle ABC are congruent to each other, namely side CA and side CB, then the triangle ABC is an isosceles triangle.

//

Setup for coordinate geometry proof:

M is the midpoint of AB since CM is a bisector of AB.

Since M is the midpoint of AB, then M is located at the coordinates $(\frac{0+b}{2},\frac{0+0}{2})=(\frac{b}{2},0)$ .

We found this point such that the length AM is equal to the length MB.

That is, the distance between A and M is the same as the distance between M and B.

Let's check.

$AM=\sqrt{(\frac{b}{2}-0)^2+(0-0)^2}$

$AM=\sqrt{(\frac{b}{2})^2+0}$

$AM=\sqrt{\frac{b^2}{4}}$

$AM=\frac{\sqrt{b^2}}{\sqrt{4}}$

$AM=\frac{b}{2}$

$MB=\sqrt{(b-\frac{b}{2})^2+(0-0)^2}$

$MB=\sqrt{(\frac{b}{2})^2+0}$

$MB=\sqrt{\frac{b^2}{4}}$

$MB=\frac{\sqrt{b^2}}{\sqrt{4}}$

$MB=\frac{b}{2}$

We have confirmed that AM=MB.

(Based on the picture, we could have taken a slightly easier route to calculate the distance between M and A, then the distance between B and M. They are both a horizontal distance. So $MB=b-\frac{b}{2}=\frac{b}{2}$ where as $AM=\frac{b}{2}-0=\frac{b}{2}$ .)

Now we also want to assume that the line segment CM is perpendicular to AB. I have drawn the base of the triangle on the x-axis so a vertical line would be perpendicular to it. Also this would make point $C=(c,d)=(\frac{b}{2},d)$ . The $y$ -coordinate is $d$ because we don't know how high above the $x$ -axis the point $C$ is.

If we show CA=CB, then we have shown triangle ABC is an isosceles.

Coordinate Geometry Proof:

We want to finally show that the sides CB and CA of triangle ABC are congruent. We will do this using distance formula.

That is we want to show the distance between (b/2,d) and (0,0) is the same as (b/2,d) and (b,0).

$CB=\sqrt{(b-\frac{b}{2})^2+(0-d)^2}$

$CB=\sqrt{(\frac{b}{2})^2+(-d)^2}$

$CB=\sqrt{\frac{b^2}{4}+d^2}$

$CA=\sqrt{(\frac{b}{2}-0)^2+(d-0)^2}$

$CA=\sqrt{(\frac{b}{2})^2+d^2$

$CA=\sqrt{\frac{b^2}{4}+d^2$

Thus, CA=CB. Since CA=CB, then the triangle is an isosceles.

//

3 0

4 years ago

Identify the percent of change as an increase or a decrease. 54 to 38v=

alexandr402 [8]

Answer:

-34.48275862068966

Step-by-step explanation:

The calculator said so, isn't that all that matters?

3 0

3 years ago