A right angle degree is always 90 degrees, or 1/4 of the full amount of degrees, which is 360. 90 degrees, is also pi/2 radians, which you will learn in trigonometry and pre-calc.
Answer: Angle x equals 19 degrees
Step-by-step explanation: We have two polygons, one with five sides and the other with eight sides. The question states that the pentagon has exactly one line of symmetry which means the line that runs down from point D to line AB divides the shape into exactly two equal sides. Hence angle A measures the same size as angle B (in the pentagon).
First step is to calculate the angles in the pentagon. The sum of angles in a polygon is given as
(n - 2) x 180 {where n is the number of sides}
= 3 x 180
= 540
This means the total angles in the pentagon can be expressed as
A + B + 84 + 112 + 112 = 540
A + B + 308 = 540
Subtract 308 from both sides of the equation
A + B = 232
Since we have earlier determined that angle A measures the same size as angle B, we simply divide 232 into two equal sides, so 232/2 = 116
Having determined angle A as 116 degrees, we can now compute the value of angle A in the octagon ABFGHIJK. Since the figure is a regular octagon, that means all the angles are of equal measurement. So, the sum of interior angles is given as
(n - 2) x 180 {where n is the number of sides}
= 6 x 180
= 1080
If the total sum of the interior angles equals 1080, then each angle becomes
1080/8
= 135 degrees.
That means angle A in the octagon measures 135, while in the pentagon it measures 116. The size of angle x is simply the difference between both values which is
x = 135 - 116
x = 19 degrees
Answer:
Step-by-step explanation:
<h2>
Hello!</h2>
The answer is:
Samir picks 
of peppers in the evening.
<h2>
Why?</h2>
To solve this problem, we must remember the way to add or subtract mixed numbers.
We must remember the way of adding or subtracting fractions:
Also, if we need to add or subtract mixed numbers with different denominators, we need to follow the next steps:
- Add or subtract the whole number part
- Add or subtract the fractional numbers.
- Put together both, whole number addition or subtraction result and the addition or subtraction of the fractional numbers.
So,
Now, if Samir picks 3 5/8 less peppers in the afternoon than in the evenning, and if he picks 4 3/6 peppers in the afternoon, so:
Let be x the number of peppers that he picks in the evening, so:
Then, simplifying we have:
So, Samir picks of peppers in the evening.
Have a nice day!
