Answer:
The correct options are;
1) The shape maps unto itself after a rotation of 270 degrees
2) The smallest angle of rotational symmetry is 90 degrees
3) The shape maps unto itself after a rotation of 180 degrees
Step-by-step explanation:
We note that the shape of a cross which consists of two equal members (segments) bisecting each other at right angles such that when a member is placed vertically upright, the other member will be horizontal, therefore we have;
After rotation by 90 degrees, the vertical member will become horizontal and vice versa
After rotation by 180 degrees, the vertical member will become horizontal and vice versa again
Similarly, after rotation by 270 degrees, the once vertical member will become horizontal and the horizontal member will become vertical
Using proportions, the amounts received by each student are given as follows:
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The amounts that each receive are given as follows:
- Ahmed: 6/7 of Ali, hence 6x/7.
- Amir: 1/7 of Ali, hence x/7.
The total amount shared is of Rs 1,400,000, hence we can solve for x as follows:
x + 6x/7 + x/7 = 1,400,000.
2x = 1,400,000.
x = 700,000.
Hence the amounts are:
More can be learned about proportions at brainly.com/question/24372153
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Answer:
Jessie hiked at a constant rate of 3 miles/hour
Step-by-step explanation:
Constant rate can also be called speed
The formula for constant rate /Speed = Distance (miles)/ time in hours
Distance = 1 mile
Time = 20 minutes
Converting to hours
60 minutes = 1 hour
20 minutes =
20/60
= 0.3333333333hour
Constant rate = 1mile/0.3333333333 hour
= 3.0000000003
= 3 miles/hour
Answer:
The answer is A
Step-by-step explanation:
Hope this helps!
:)