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
The answer is 0.027, you are correct. 0.3 to the third power means 0.3 x 0.3 x 0.3 and that equals 0.027
Answer:
30 students in the class.
Step-by-step explanation:
There are several which in which we can approach this question:
We can do this question using direct proportion.
"If 18 girls represent 60%, how many students represent 100%?"
18
60
=
x
100
x
=
18
×
100
60
30
students altogether.
The y intercept to this is 16 and the slope is 1/5. Hope this help
Answer:
4000 feet
Step-by-step explanation:
GIVEN: An airplane is flying at an elevation of 
and lands on an airstrip 
below sea level.
TO FIND: What is the difference between these two elevation.
SOLUTION:
Elevation of airplane while flying 
As airstrip is below sea level,
Elevation airplane while on airstrip 
Difference between elevations 
Hence difference between elevations is 4000 feet.
