1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
labwork [276]
2 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]2 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.
You might be interested in
Yesterday 170 guests at a hotel called room service 255 gas did not call for room service what percentage of the guest at the ho
just olya [345]
I believe it’s 0.6% I just did 170/255
6 0
2 years ago
Which equation shows the commutative property of addition?
kipiarov [429]

Answer:

C

Step-by-step explanation:

7 0
2 years ago
An architect makes a model of a new house. The model shows a tile patio in the backyard. In the​ model, each tile has length 1/4
Semmy [17]

Answer:

The answer is below

Step-by-step explanation:

The model is a tile with length 1/4 in. and width 1/6 in while the actual tile has length 1/6 ft. and width 1/9 ft.

Firstly we have to convert the model length and width from inches to feet.

1 feet = 12 inches

model length =  1/4 in. = 1/4 in * (1/12) ft./in = 1/48 ft.

model width =  1/6 in. = 1/6 in * (1/12) ft./in = 1/72 ft.

Therefore:

Ratio of model length to actual length of tile = (1/48 ft.) / (1/6 ft.) = 1 / 8

Ratio of model length to actual length of tile = (1/72 ft.) / (1/9 ft.) = 1 / 8

Area of model tile = length * width = 1/48 ft. * 1/72 ft. = 1/3456 ft²

Area of actual tile = length * width = 1/6 ft. * 1/9 ft. = 1/54 ft²

Ratio of model area to actual area of tile = (1/3456 ft²) / (1/54 ft²) = 1 / 64

6 0
2 years ago
What is the y-intercept of this line?
GaryK [48]

12, 8, 4, 0

Step-by-step explanation:

Thank Me. Super.

4 0
3 years ago
Please help if possible due in 20 minutes ❤️❤️<br><br> f(x) = x2. What is g(x)?
otez555 [7]

Answer:

c. g(x)=(1/2x^2)

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Determine which two values the following expression is between.
    11·1 answer
  • R=1+3w÷2 solve for w
    14·1 answer
  • 46 divided by the second power of 10
    11·1 answer
  • Look at the figure shown below:
    6·2 answers
  • Rearrange the formula to solve for m<br> A= m (s+2)/t
    13·2 answers
  • When 8 is added to the number that is produced by doubling the number x, the result is equal to 8 times the number that is 5 les
    7·1 answer
  • Simplifying radicals! Please help me &amp; Show WORK
    12·1 answer
  • Someone help my younger brother I don’t feel like helping him<br><br>( no bots please )
    7·2 answers
  • Please help me...asap
    9·2 answers
  • Find the area of the shaded region<br> below.<br> Give your answer in terms of T.<br> 12m<br> 5m
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!