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2 years ago

If the diagonals of a parallelogram from right angles,then the parallelogram is the rectangle

Mathematics

1 answer:

geniusboy [140]2 years ago

8 0

The statement above is false.

If the diagonals of a parallelogram form right angles, then the parallelogram is a rhombus (a rhombus is a quadrilateral with four equal side lengths).

Note* = by saying the statement is false is not saying that the scenario presented in the statement cannot occur. If the rectangle was a square, then its diagonals can form right angles since a square is also a rhombus. However, if a rectangle was NOT a square, its diagonals would not form right angles. A true statement is a statement where ALL cases fit the said requirement(s).

The statement can also be corrected by saying:

If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

All rectangles (even a square) have congruent diagonals, so this statement would be true.

Hope this helps!

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Flying lessons on weekdays cost m dollars per hour. Flying lessons on weekends cost 1.2m dollars per hour. The expression 9m+3(1

lbvjy [14]

Answer:

The cost of lesson for 9 hours on weekdays and 3 hours on weekends

Step-by-step explanation:

Given

$Weekdays = \$m /hour$

$Weekends = \$1.2m/hour$

Required

What does 9m + 3(1.2m) represent

The expression can be split to:

9m and 3(1.2m)

For 9m:

From the question, we understand that:

$m = 1\ hour$

Multiply both sides by 9

$9 * m = 1\ hour * 9$

$9 m = 9\ hours$

This means that:

9m = the cost of lessons for 9 hours on weekdays

For 3(1.2m):

From the question, we understand that:

$1.2m = 1 \ hour$

Multiply both sides by 3

$3 * 1.2m = 1 \ hour * 3$

$3(1.2m) = 3 \ hours$

This means that:

3(1.2m) = the cost of lessons for 3 hours on weekends

Hence, the expression represents:

The cost of lesson for 9 hours on weekdays and 3 hours on weekends

7 0

2 years ago

Simplify 4 + (−3 − 8)

Elis [28]

Answer:

-7

Step-by-step explanation:

4 + (−3 − 8)

PEMDAS

Parentheses first

4 + (-11)

Add and subtract next

-7

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3 years ago

Read 2 more answers

Georgia ,a florist,charges $10 per flower bundle plus a$15 delivery charge per order what is the slopes

andrew11 [14]

Answer:

The slope is $ 10 per flower bundle.

Explanation:

The slope of a linear function is the ratio of the change in the dependent variable over the change in the independent variable.

In the problem, the independent variable is the number of flower bundles and the dependent variable is the amount charged.

If you call n the number of flower bundles and c(n) the amount charged per order, the amount charged per order is modeled by linear function:

c(n) = 10n + 15

Where, 10 is the amount charged in dolars per flower bundle, and 15 is the delivery charge per order.

Then, for every increment in the number of flower bundles (n) the amount charged will increase in $ 10. That is the slope

slope = $ 10 / flower bundle.

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2 years ago

Based on the graph, which inequality is correct for a number that is to the right of -4

Anon25 [30]

2 > -4

2 is greater than -4

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3 years ago

I have a d in my class but i need it caught up to a b or an a asap so will anyone help me please?

anyanavicka [17]

Answer:

Hey man, it wont work :(

Step-by-step explanation:

nobody will try to help you. Ive been there. GL trying to do it on your own.

Word of advice, Do it next time.

Might be boring or nor fun but its easier in the long run.

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2 years ago

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