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Paha777 [63]
3 years ago
13

Kyle claimed that the given quadrilaterals are similar because the ratio of their corresponding sides is equal. Is Kyle's claim

incorrect or correct? In two or more complete sentences, justify your answer
Mathematics
2 answers:
Savatey [412]3 years ago
8 0
The claim made by Kyle is not entirely true and unjustifiable because for the figures or solids to be similar, not only the corresponding sides should have the finite ratio but also the corresponding angles should be equal. Although, the claim depends on the type of quadrilateral. 
Lilit [14]3 years ago
5 0

Kyle's claim is incorrect. This is because the square and the diamond are not the same shape. If they would be the same shape, but different sizes (provided the ratios of the corresponding sides are equal), then they would be similar. But they do have the same corresponding side ratios, so they could have been similar if their shapes would be the same.

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On a farm in iowa lived grandpa bill in a big yellow house on the top of the hill. His 70th birthday was this very day. All of h
DENIUS [597]

Let g be the number of grandchildren, and d be the number of dogs. They both have only one head, so the number of heads is

g+d=33

Grandchildren have 2 legs, while dogs have 4. So, the total number of legs is

2g+4d=84

From the first equation (the one for the heads) we can derive

g=33-d

Substitute this into the second to get

2g+4d=84 \implies 2(33-d)+4d=84 \iff 2d=18 \iff d=9

So, there are 9 dogs and (from the first equation

g=33-9=24

8 0
3 years ago
Find the value of x. Then find the measures of four angles.
posledela

Refer to the attached file

For your understanding,I am sending this too so that u can understand the concept

8 0
3 years ago
The sum of 3 consecutive multiples of 4 is 180.
Paul [167]

9514 1404 393

Answer:

  56, 60, 64

Step-by-step explanation:

The middle of the three numbers is their average: 180/3 = 60. The other two will be 4 more or less than this.

The numbers of interest are 56, 60, 64.

_____

<em>Additional comment</em>

For "consecutive integer" problems, it is often useful to work with the average of the numbers. The average will be the middle number of an odd number of numbers (as here), or will be halfway between the two middle numbers if their number is even.

Even if you bother to write equations, it can work to do that in terms of the average value (middle number): (x -4) +(x) +(x +4) = 180 in this case.

7 0
2 years ago
20% of Aussies have blue
notsponge [240]

Answer:

20

Step-by-step explanation:

Step 1: 4 = 20% × Y

Step 2: 4 = 20/100 × Y

Multiplying both sides by 100 and dividing both sides of the equation by 20 we will arrive at:

Step 3: Y = 4 × 100/20

Step 4:Y = 4 × 100 ÷ 20

Step 5: Y = 20

6 0
3 years ago
A sign language club made $627. 50 from selling popcorn at a festival. The popcorn cost the club $95. 0. Which expression repres
solmaris [256]

The expression representing the amount of money that was raised for each member of the club is \dfrac{627.50 - 95.0}{m} (in dollars)

<h3>How to interpret the division? </h3>

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, a \div b = a divided in b equal parts.

Also, we can write: a \div b = a \times \dfrac{1}{b}

(it is since a = a \times 1 so a/b = 1 \times (a/b) = (1/b) \times a )

<h3>How to find the profit earned?</h3>

Profit earned is the extra money which we make after deducing the cost price of the process we're doing.

So, we get:

Profit earned = Total amount earned - Amount spent initially for preparation to earn

P = Selling price (S.P.) = Cost price (C.P.)

For the given case, we're given that:

  • Amount made by the sign language club by selling popcorn at a festival = $627.50
  • The cost price for the popcorn to the club = $95.0

The money raised = Amount made by selling popcorn - amount costed to the club for getting popcorn

Money raised = $627.50 - $95.0

If it is given that: m = number of members in the considered club, then:

Money each member of the considered club will get = Money raised divided in equal m parts = \dfrac{627.50 - 95.0}{m} (in dollars)

(we don't write symbols like of currency generally, and understand it from context.)

Thus, the expression representing the amount of money that was raised for each member of the club is \dfrac{627.50 - 95.0}{m} (in dollars)

Learn more about division here:

brainly.com/question/26411682

8 0
2 years ago
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