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labwork [276]
3 years ago
14

If the measure if one angle of a parallelogram is 90 degrees, what is the probability that the parallelogram is a rectangle?

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
8 0
The probability is 100%.

Definition of rectangle:
A rectangle is a parallelogram with one right angle.

Remember that in math, "one right angle" means "at least one right angle."
If a parallelogram has one right angle, it must be a rectangle, and all angles are right angles.

This is why.
There are different ways to show this.
Here is one of them.
Opposite angles of a parallelogram are congruent.
If one angle measures 90 degrees, the opposite angle must also measure 90 degrees. You already have two right angles.
The sum of the measures of the angles of a quadrilateral is 360.
Two angles are right angles which add to 180 deg.
360 deg - 180 deg = 180 deg.
The other two angles have measures that also add up to 180 deg.
Since the other pair of opposite angles is also congruent, then both angles must measure 90 deg.
Therefore, if a parallelogram has one right angle, it must have 4 right angles, and it is a rectangle.
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Need help quickly! Thanks
Rzqust [24]

Answer:

y = -2^x

Step-by-step explanation:

If the equation of a function is in the form of y = h(x)

When the graph of this function is reflected across x-axis,

Transformed function will be,

y = -h(x)

Further reflected across y-axis, then the transformed function will be,

y = -h(-x)

By this rule,

Given equation when reflected across x-axis,

y = -(\frac{1}{2})^{x}

Further reflected across y-axis,

y = -(\frac{1}{2})^{-x}

y = -(2^{-1})^x

y = -2^x

5 0
3 years ago
What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?
Vikentia [17]

Answer:

22 meters per second.

Step-by-step explanation:

374 divided by 17 = 22.

8 0
3 years ago
Read 2 more answers
What will it cost to carpet a rectangular floor measuring 12 feet by 15 feet if the carpet costs $ 31.65 per square​ yard?
kaheart [24]

Answer:

$633

Step-by-step explanation:

You multiply the 12x15 feet by 31.65

8 0
3 years ago
How do I solve the following system of equations? <br>-5x-3y=7<br>-3x-4y=2​
garri49 [273]

Answer:

(-2, 1)

Step-by-step explanation:

Systems of equations can be solved using different methods.  For this set of systems, you can multiply each equation by a factor in order to eliminate a variable and solve for the other variable:

-3(-5x - 3y = 7)  or 15x + 9y = -21

5(-3x - 4y = 2)  or <u>-15x -20y = 10</u>

                                    -11y = -11

                                        y = 1

Solve for x:  -5x - 3 = 7

Add 3 to both sides:  -5x -3 + 3 = 7 + 3 or -5x = 10

Solve for x: x = -2

(-2, 1)

6 0
3 years ago
Two fuel tanks with the dimensions shown have the same volume. What is the value of ?
mamaluj [8]

Answer:

The height is 2ft

Step-by-step explanation:

6 0
3 years ago
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