MATHEMATICS HIGH SCHOOL

Choose the triangle that seems to be congruent to the given one.AFD =~ ____

AFC
BFC
DFE
Choose the triangle that seems to be congruent to the - 1

Answers

Answer 1
Answer:

Answer:

The triangle that seems to be congruent to triangle AFD is triangle AFC.

Step-by-step explanation:

As in the give triangle AFD, there is an obtuse angle, i.e angle AFD is obtuse angle.

So, in order to have a congruent triangle, the another triangle must have an obtuse angle.

From the given triangles, only triangle AFC has an obtuse angle and that is angle AFC. And they also share a side, so the chances of congruency is more in this case.

Triangle BFC and Triangle DFE does not have an obtuse angle.
Answer 2
Answer: AFD is equivalent to AFC.

They are the same size, shape, length, and angles.

I hoped I helped!

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Find the surface area and volume of a cube with sides of 5.5 cm each.

Answers

Answer:

V= 166.375cm^3 and As = 181.5cm^2.

Step-by-step explanation:

First, let's calculate the volume. The volume of a cube is V= s^3 where s is the side. Then,

V = (5.5cm)^3 = 166.375cm^3

Now, the surface area will be the sum of the areas of each face. Each face of the cube is a square and the area of a square is A=s^2, also we know that the cube has 6 faces, then the surface area of the cube will be

As = 6*s^2, so

As = 6*(5.5cm)^2

As = 6*30.25cm^2

As = 181.5cm^2.
The equation to find the surface area of a cube is: 2*base+lateral area. The base of a cube is just the area of the square. So you would multiply 5.5*5.5. That would equal 30.25
The equation to find the lateral area is: perimeter*height. So you would add 5.5 four times since its a square. It would equal 22. Then you would multiply it by the height of which is also 5.5. 5.5*22=121.

Now that you have all the information just plug it back in the equation.(side note, because cubes are prisms you have two bases which is why you multiply them by two.) 2*30.25+121=181.5

your awnser is 185.5cm squared

two triangles are similar. the sides in order of smallest to largest of the smaller triangle are 3.5, y, and x. the sides in order of smallest to largest of the larger triangle are 7, x+4, and 3y. what are the values of the variable. (ps I took this from a picture so it makes more sense if u draw it)

Answers


Since the triangles are similar, the ratio of each side in one triangle to
the corresponding side in the other one is always the same number. 
We know what one pair of sides is ... 3.5 and 7 ... so we know that
each side in the first triangle is 1/2 as long as the corresponding side
in the other one.

So we can say with assurance that ...

          y = 1/2 (x + 4)
and
          x = 1/2 (3y) .

That's all the intelligence required for this problem.  The rest is just algebra,
and I should not need to go through all the routine misery for you here.

When you solve this pair of equations slowly, carefully, and accurately,
you'll find that the sides of the triangles are ...

         3.5,   8,  12
and
           7,  16,  24 .

A teacher asked her class to name three different fractions that are all equivalent to 2/3 and that has an odd denominator. List three fractions that the students might have given.

Answers

 1/2, 2/3, and 4/5 is some things the class will say

1. Elena bought 320 tropical fish for a museum display. She bought 7 times as many triggerfish as parrotfish. How many of each type of fish did she buy?Which is a system of equations to model the problem if x represents the number of parrotfish Elena bought and y represents the number of triggerfish she bought?

A. x + 7y = 320
y = 7x

B. x + y = 7
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C. x + y = 320
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D. x−y=320
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2. Nancy bought 360 tropical fish for a museum display. She bought 8 times as many goldfish as angelfish.

How many of each type of fish did she buy?

A. 40 angelfish, 320 goldfish

B. 160 angelfish, 200 goldfish

C. 20 angelfish, 160 goldfish

D. 320 angelfish, 40 goldfish

3. Michael and Kathryn bowl together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s. What were their scores?

Which is a system of equations to model the problem if x represents Kathryn’s score and y represents Michael’s score?

A. x + y = 70
y = 2x – 425

B. x + y = 425
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C. x – y = 425
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D. x + y = 425
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4. Michael and Kathryn bowl together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s.

What were their scores?

A. Kathryn: 260, Michael: 165

B. Kathryn: 150, Michael: 275

C. Kathryn: 275, Michael: 150

D. Kathryn: 165, Michael: 260

5. A collection of nickels and dimes is worth $6.10. There are 67 coins in all.

How many nickels are there?

A. 12

B. 18

C. 49

D. 55

Answers

Answer:

D

Step-by-step explanation:

If im wrong, please correct me in the comments.

Answer:

5. D, Let d represent the number of dimes and n represent the number of nickel. We have been given that a collection of coins has 67 coins in all. This means that total number of nickels and dimes is 67. We can represent this information in an equation as:

Since we know that a dime is worth $0.10, so d dimes will be worth 0.10d.  

A nickel is worth $0.05, so n nickels will be worth 0.05n. We are also told that the collection is worth $6.10. We can represent this information in an equation as:

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Johnny B's rectangular garden is 5 feet long and 10 feet wide. He wants to make the area of his garden 6 times as large by increasing the length and width by the same amount. Find the number of feet by which each dimension must be increased.

Answers

Answer:

The length is 15 and the width is 20

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