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jenyasd209 [6]
3 years ago
6

J is the midpoint of CT С J T If: CJ = 5x – 3 and JT = 2x + 21 Find CT.

Mathematics
1 answer:
Alexandra [31]3 years ago
6 0

Answer:

CT=37

Step-by-step explanation:

5x-3 = 2x+21

-2x

3x-3 = 21

+3

3x = 24

÷3

× = 8

5(8) - 3 = 37

2(8) +21 =37

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Alex wants to arrange chairs in such a way that the number of chairs in a row is equal to the number of columns. He has ordered
PIT_PIT [208]

Answer:

84

59

Step-by-step explanation:

In other to have the same number of chayes in both rows and columns ;

If the Number of chairs per row = x ; then number of chairs per column = x

Then the total number of chairs needed = x * x = x²

Hence, if there are 5100 chairs ;

Number of chairs needed more ;

Take the square root of 5100 ;the round to the next whole number :

B.) For number of chairs to be removed ;

Take the square root of 5100 and round down to the whole number.

Hence,

A.) = √5100 = 71.414 = 72

72² - 5100 = 84

B.) 5100 = 71.414 = 71

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8 0
2 years ago
Help i will give brainliest
Kamila [148]

Answer:

Step-by-step explanation:

Area of circle = 56 cm²

                   πr² = 56

                 3.14r² = 56

                         r²=56/3.14

                        r²= 17.83

                        r = √17.83

                        r = 4.22 cm

The diameter of the circle  = diagonal of the square

Diagonal of the square = 2 * 4.22 = 8.44 cm

x² + x² = 8.44²

2x² = 71.2336

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5 0
3 years ago
Please see the question and solve plz​
Korolek [52]

Answer:

Step-by-step explanation:

sin²β + sin²β×tan²β = tan²β

sin²β( 1 + tan²β ) = tan²β

~~~~~~~~~~~~~~~~

<u><em>sin²β + cos²β = 1  </em></u>

<u><em /></u>\frac{sin^2\beta }{cos^2\beta } + \frac{cos^2\beta }{cos^2\beta } = \frac{1}{cos^2\beta } ⇒ tan²β + 1 = sec²β ⇔ 1 + tan²β = sec²β

~~~~~~~~~~~~~~

1 + tan²β = \frac{1}{cos^2 \beta }

L.H. = sin²β ( \frac{1}{cos^2 \beta } ) = tan²β

R.H. = tan²β

7 0
3 years ago
What is the quotient of -8(^6)/4x(^-3)
Anna [14]

For this case we must find the quotient of the following expression:

\frac {-8x ^ 6} {4x ^ {- 3}} =

By definition of power properties we have:

a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}

Rewriting the expression we have:

\frac{-8}{4}*x^6*x^3

By definition of multiplication of powers of the same base we have to put the same base and add the exponents:

-2x^{6+3}

Answer:

-2x ^ 9

8 0
3 years ago
10) xc = rd , for x<br><br> Help plz
ExtremeBDS [4]

Answer:

x = rd/c

Step-by-step explanation:

xc = rd

xc/c = rd/c

x = rd/c

8 0
3 years ago
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