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balu736 [363]
3 years ago
11

What is the value of x? Enter your answer in the box. x=

Mathematics
2 answers:
AleksandrR [38]3 years ago
7 0

Answer:Solution :-

Given -  

The two sides other than hypotenuse = 7 cm and 24 cm

By using Pythagoras Theorem.

(Hypotenuse)²  = √(Base)² + (Perpendicular)²

Let the hypotenuse of the given triangle be x cm

⇒ (x)² = √(7)² + (24)²

⇒ √49 + 576

⇒ √625

⇒ 25

So, the length of hypotenuse is 24 cm.

Step-by-step explanation:

Taya2010 [7]3 years ago
5 0

Answer:

The answer to your question is: x = 32

Step-by-step explanation:

Data

x = ?

It is an equilateral triangle so, the three angles measure the same

                           2x - 4 = 5y

                           2x - 5y = 4

The sum of the internal angles in a triangle equals 180°

                          3(5y) = 180

                         5y = 180/3

                         5y = 60

                          y = 12

                          2x - 4 = 5y

                          2x - 4 = 5(12)

                          2x = 60 + 4

                          2x = 64

                          x = 64/2

                          x = 32

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Three lighthouses on three nearby islands flash their lights every evening. On one island, the light flashes every 45 seconds. T
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Lt1 = 45; Lt2 = 120; Lt3 = 75

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Prime factor each:

45: 3,3,5,

120: 2,2,2,3,5

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The conjugate of (2+i)²/3+i, in the form of a+ib, is
goblinko [34]

Given that

(2+i)²/(3+i)

On multiplying both numerator and the denominator with (3-i) then

⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]

⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]

⇛ [(2+i)²(3-i)]/[(3²-i²)

⇛ [(2+i)²(3-i)]/(9-i²)

⇛ [(2+i)²(3-i)]/[9-(-1)]

Since ,i² = -1

⇛ [(2+i)²(3-i)]/(9+1)

⇛ [(2+i)²(3-i)]/10

⇛ [{2²+i²+2(2)(i)}(3-i)]/10

⇛ (4+i²+4i)(3-i)/10

⇛ (4-1+4i)(3-i)/10

⇛ (3+4i)(3-i)/10

⇛ (9-3i+12i-4i²)/10

⇛ (9+9i-4(-1))/10

Since, i² = -1

⇛(9+9i+4)/10

⇛(13+9i)/10

⇛ (13/10)+ i (9/10)

We know that

The conjugate of a+ib is a-ib

So,

The conjugate of (13/10)+ i (9/10) is

(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)

<u>Answer:-</u>The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)

<em>Additional</em><em> comment</em><em>:</em>

  • The conjugate of a+ib is a-ib and
  • i = -1
  • (a+b)² = a²+2ab+b² • (a+b)(a-b)=a²-b² •(a-b)²=a²-2ab+b².
5 0
2 years ago
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