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zmey [24]
3 years ago
12

Can anyone fill this sheet, I'm too confused by this subject and don't understand it. Any help would be much appreciated.

Mathematics
1 answer:
Slav-nsk [51]3 years ago
7 0

<u>Question 1</u>

Two triangles are said to be similar, if their sides are proportional and the corresponding angles are equal.

In the given figures, it is given that one of the angles is 80 degrees. So, the corresponding angle in the another triangle is also 80 degrees.

Also, please note that the triangles are isosceles.

We know that, in an isosceles triangle, the angles opposite to the equal sides are equal.

The equal angles are b and b.

By the angle-sum property, we have:

b + b + 80 = 180

2b + 80 = 180

2b = 180 - 80 = 100

b = 50 degrees.

Similar shapes have the same <u>angles.</u>

<u>Question 2:</u>

Even though the length of the second cuboid is twice the length of the first one, no information is given about the breadth and height.

Let b, c be the breadth and height of the first cuboid and B, H be the breadth and height of the second cuboid.

Now, we have two cases.

Case 1:  b = B and h = H

In this case, the volume of the first cuboid is length × breadth × height

= lbh

Volume of second cuboid = (2l) × b × h = 2lbh

So, Simon is correct about the volumes.      

Case 2:  b ≠ B or h ≠ H        

In this case, clearly the volumes will be different and Simon is wrong.

<u>Question 3:</u>

By Basic Proportionality Theorem and from corresponding part of similar triangles,

\frac{x}{10}=\frac{x+y}{20}

\frac{x}{10}= \frac{x}{20} + \frac{y}{20}

\frac{x}{10} - \frac{x}{20} = \frac{y}{20}

\frac{x}{20} = \frac{y}{20}

x = y

or x : y = 1 : 1

<u>Question 4:</u>

Since the jugs are irregular shapes, it is impossible to find their volumes only with known height.

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horsena [70]
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8 0
3 years ago
Cody is cooking pancakes. The recipe calls for 5 3/10 cups of flour. He accidentally put in 8 1/4 cups. How many extra cups did
Eddi Din [679]

Answer:

59/20 cups

Step-by-step explanation:

5 3/10

8 1/4

Common denimainator  is 40

5 3/10 = 5 12/40

8 1/4 = 8 10/40

Now we can subtract:

330/40-212/40=118/40

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3 0
3 years ago
The sum of an integer and 6 times the next consecutive odd integer is 61. Find the
vfiekz [6]

If the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7

Consider the first odd integer as x

Then the next consecutive odd integer = x+2

The 6 times the second integer=  6(x+2)

= 6x+12

Sum of an integer and 6 times the next consecutive odd integer is 61

Then the equation will be

x + 6x+12 = 61

Add the like terms in the equation

(1+6)x + 12 = 61

7x +12 = 61

Move 12 to the right hand side of the equation

7x = 61-12

7x = 49

x = 49/7

x = 7

The second number is

x+2 = 7+2

= 9

Hence, if the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7

Learn more about equation here

brainly.com/question/28741857

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1 year ago
PLZ HURRY IT'S URGENT!!!!<br> Find the volume of the prism.
harina [27]

Answer:

30

Step-by-step explanation:

5 0
3 years ago
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