3 years ago

A parallelogram with all angles congruent (90°)

1 answer:

6 0

A parallelogram has 4 sides. there are different Parallelograms to know but what you asked was a Square. A square is a parallelogram that has all angles at 90° and Congruent to each other

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Which is equivalent to √3/√8 when denominator is "rationalized"?

TEA [102]

Step-by-step explanation:

$\dfrac{\sqrt3}{\sqrt8}=\dfrac{\sqrt3\cdot\sqrt2}{\sqrt8\cdot\sqrt2}=\dfrac{\sqrt{3\cdot2}}{\sqrt{8\cdot2}}=\dfrac{\sqrt6}{\sqrt{16}}=\dfrac{\sqrt6}{4}$

$\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{a}=b\iff b^2=a\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{16}=4\ \text{because}\ 4^2=16$

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3 years ago

Simplify the following expression: 2(3g-4)-(8g+3)

Firlakuza [10]

(6g-8) - (8g+3)

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4 years ago

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8. Which of the following numbers is prime? 14 51 47 27

Dahasolnce [82]

Answer:

8: 14 is the prime number

9: 15 is the composite number

Step-by-step explanation:

I hope this helped :)

7 0

3 years ago

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Please help me I do not understand this

viva [34]

Answer:

78 degrees

Step-by-step explanation:

6 - 85 = 79

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3 years ago

The denarius was a unit of currency in ancient Rome. Suppose it costs the Roman government 10 denarius per day to support 3 legi

Romashka [77]

Answer:

We can not solve for a unique cost for each soldier.

Step-by-step explanation:

Let x be the daily cost for legionaries and y be the daily cost for archers.

Upon using our given information we will get a system of linear equations as:

$3x+3y=10...(1)$

$x+y=3...(2)$

Now we will solve for x from our 2nd equation,

$x = 3-y$

Now we will substitute this value in our 1st equation.

$3(3-y)+3y=10$

$9-3y+3y=10$

We can see that -3y cancels out with 3y and 9 is not equal to 10. So this is an unsolvable system. Therefore, we can not find a unique cost for each soldier.

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3 years ago

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