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Naily [24]
3 years ago
5

Type the correct answer in each box. Use numerals instead of words. Based on the Pythagorean theorem, find the missing length fo

r each of the given right triangles. Triangle EFG with side a = 9, side c = 41 and side b = . Triangle PQR with side a = 20, side b = 21 and side c = . Triangle XYZ with side b = 24, side c = 25 and side a = .

Mathematics
1 answer:
Neporo4naja [7]3 years ago
6 0

Answer: See below

Step-by-step explanation:

The Pythagorean Theorem is a²+b²=c². Since each problem gives us the length of a, b, or c, we can directly plug them into this equation and solve.

Triangle EFG

9²+b²=41²

81+b²=1681

b²=1600

b=√1600

b=40

----------------------------------------------------------------------

Triangle PQR

20²+21²=c²

400+441=c²

c²=841

c=√841

c=29

----------------------------------------------------------------------

Triangle XYZ

a²+24²=25²

a²+576=625

a²=49

a=√49

a=7

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Lupita brought seven pounds of pretzels at a local wholesaler for 16.80 her friend Charles about 5 pounds of pretzels at the sup
Mashutka [201]

Answer:

Step-by-step explanation:

Lupita brought seven pounds of pretzels at a local wholesaler for 16.80. This means that the rate at which she bought one pound of pretzel at the local wholesaler would be

16.80 / 7 = $2.4 per pounds of pretzels

Her friend, Charles about 5 pounds of pretzels at the supermarket 12.75. This means that the rate at which Charles bought one pound of pretzel at the supermarket would be

12.75 / 5 = $2.55 per pounds of pretzels

Charles's reasoning is wrong because the rate at which he bought one pound of pretzel is higher than that of Lupita's

7 0
3 years ago
What is the value of the expression 29-|7-11|
Makovka662 [10]

The value of 29 - |7 - 11| = 25

We have the following expression -

29 - |7 - 11|

We have to find its value.

<h3>Find the value of the expression -</h3><h3>X + | \piY |    where Y < 0</h3>

We have -

X + | \piY |

Since Y < 0 - therefore \piY < 0

Now -

|a| = - a   { for a < 0}

Therefore -

X -  \piY

According to the question, we have -

29 - |7 - 11|

29 - | -4 |

29 - 4

25

Hence, the value of 29 - |7 - 11| = 25

To learn more about Modulus function, visit the link below-

brainly.com/question/13103168

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7 0
1 year ago
Read 2 more answers
If a b = 3a + 2b. What is 3* 2?<br>A 12<br>B13<br>C5<br>D 6​
ss7ja [257]

Answer:

The answer is D 6

Step-by-step explanation:

Multiply 3x2 and it equals 6

6 0
2 years ago
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2 questions<br> when can you combine like terms?<br> when can you NOT combine like terms?
Rainbow [258]
*just a guess*

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6 0
3 years ago
X^2+2x+1 is a perfect square trinomial <br><br> True of False?
Nimfa-mama [501]

Answer:

True.

Step-by-step explanation:

It is because it is in the form a^2x^2+2abx+b^2 and this equals (ax+b)^2.

Why it is in that form:  well comparing  a^2x^2+2abx+b^2, we have a=1, b=1. Testing, plug in those values:

(1)^2x^2+2(1)(1)x+(1)^2

1x^2+2x+1

x^2+2x+1.

This has the squared form of (x+1)^2.

Test if you like:

(x+1)^2

(x+1)(x+1)

Use foil to expand:

First: x(x)=x^2

Outer: x(1)=x

Inner: 1(x)=x

Last: 1(1)=1

---------------Add together

x^2+2x+1

It does indeed equal.

4 0
2 years ago
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