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ivolga24 [154]
3 years ago
15

© ABCD is a rectangle with sides 6 cm and

Mathematics
1 answer:
Nikolay [14]3 years ago
4 0

Answer:

10

Step-by-step explanation:

If the sides of the rectangle is 6cm and 8cm, then we mean that, the length and breadth are 6cm and 8cm

The diagonal which cross at AX will be the hypotenus of the triangle formed by drawing the diagonal.

Hence,

Hypotenus = sqrt (opposite² + adjacent²)

AX = sqrt[(8²) + (6²)]

AX = sqrt(64 + 36)

AX = sqrt(100)

AX = 10

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Determine whether the two expressions are equivalent. Explain your reasoning.
dlinn [17]
Let us evaluate each pair of expressions one at a time.
8. (n²+4) - n² and 4n.
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9. 3x + 5 and  2(x + 3)
    2(x + 3) = 2x + 6  which is not equal to 3x + 5.
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10. 15 - 6x and  15(1 - 6x)
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11. (y + y + 2 + y) + 3y and 6y + 2
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Answer: Only the expressions in number 11 are equivalent.
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3 years ago
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ULT ma<br> 4. Write an expression, then evaluate.<br> a. 1/4of the sum of 18 and 6
OlgaM077 [116]

Answer: Required expression: \dfrac14\times(18+16)

Result: \dfrac{17}{2}

Step-by-step explanation:

Given phrase:  " \dfrac14\text{ of the sum of } 18\text{ and }6. "

Required expression: \dfrac14\times(18+16)    ['+' used to express sum, 'x' used in place of 'of']

Since 18+16 = 34

Then,

\dfrac14\times(18+16)=\dfrac14\times34  \\\\=\dfrac{1}{2}\times17\ \ \text{[Divide numerator and denominator by 2]}\\\\=\dfrac{17}{2}

Hence,     \dfrac14\times(18+16)=\dfrac{17}{2}.  

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