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Vera_Pavlovna [14]
3 years ago
12

The given diagram can be used to prove the Pythagorean theorem. Which expression represents the total area of the largest square

on the diagram?
A) a2 + b2

B) a2 + b2 + c2

C) a2 + 2ab + b2

D) a2 + ab + b2

Mathematics
2 answers:
balandron [24]3 years ago
5 0

Answer:

a2 + b2

area of red square = a2; blue square = b2 -> total area = a2 + b2

Oksanka [162]3 years ago
3 0

Answer:

C = a² + 2ab + b²

Step-by-step explanation:

From the diagram above,

Let the dimension of the square be

A (length) = (a + b) and B (breadth) = (a + b).

Area of the square is A*B

A * B = (a + b) * (a + b)

Area = a² + ab + ab + b²

Area = a² + 2ab + b².

Therefore the expression that defines the area of the square is a² + 2ab + b².

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At a display booth at an amusement park, every visitor gets a gift bag. Some
kotegsom [21]

The bag will often contain all three items every 70 bags ⇒ answer C

Step-by-step explanation:

At a display booth at an amusement park, every visitor gets a gift bag

according to these information:

1. Hat Every 2nd visitor

2. T-shirt Every 7th visitor

3. Backpack Every 10th visitor

We need to know how often a bag will contain all three items

To solve this problem you must find a number divisible by 2, 7, and 10

To find that number start with the multiples of the largest one and

check them with the other two numbers

∵ The largest number is 10

∵ The multiples of 10 are 10 , 20 , 30 , 40 , 50 , 60 , 70 , 80 , .......

- Look for the first multiple of 10 is divisible by 7

∵ 70 is the first multiple of 10 divisible by 7

∵ 70 is divisible by 2 because its even number

∴ 70 is the smallest number divisible by 2, 7 and 10

The bag will often contain all three items every 70 bags

Learn more:

You can learn more about numbers in brainly.com/question/537998

#LearnwithBrainly

4 0
3 years ago
When solving a linear system by substitution, how do you decide which variable to solve first?
rosijanka [135]

Answer: whichever one is easiest to get by itself.

Step-by-step explanation:

7 0
3 years ago
Antonio is in a bowling league. His goal is to score an average of at least 100 points per game. His scores so far are 105,95,97
Vilka [71]
The answer would be 11.
He’s playing 6 games to meet his goal which is 600. Adding 105+95+97+82+110 you’ll have 489 total points. You’ll then subtract 600-489 which will equal to 111.
4 0
2 years ago
The diffrence of a number m and 30 is 10
viktelen [127]
M - 30 = 10

so the number has to be 10 more than 30.

30+ 10 = m


m = 40
8 0
3 years ago
The Larger of two numbers is 27 more than the smaller. When added together , the sum of the larger number and five times the sma
Genrish500 [490]

Answer:

Small no. is 15

Larger no. is 15 + 27 = 42

Step-by-step explanation:

Let the small no. be x

Larger no. will be x + 27

5x + x + 27 = 117

6x + 27 = 117

6x = 117-27

x = 90/6

x = 15

4 0
3 years ago
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