Answer:
x = 30°.
Step-by-step explanation:
To calculate the value of 'x', we can first derive the value of one of the angles that make up the triangle.
Notice that there is an angle with a measure of 100°. The angle that makes up the angle of the triangle is called a Vertical Angle. Therefore, if the angle in red is 100°, the vertical angle, or the third angle of the triangle, is 100°.
There are two congruent sides to the triangle, as seen by the congruent lines. This means that both of the other two angles must be equal. Find the value of 'x' by:
180 - 100 = 80. Since the value of one angle was 100°, and the angles in a triangle must add up to 180°, you can simply subtract to find the sum of the other two angles.
(x + 10) + (x + 10) = 80
2x + 20 = 80
2x = 60
x = 30°.
Answer: The measure of angle A is 59 degrees.
When you have a quadrilateral inscribed in a circle the opposite sides are always supplementary (add to 180). Given the order of the vertices of our quadrilateral, we know that A and C are opposite.
Therefore, we can write and solve the following equation.
A + C = 180
A + 121 = 180
A = 59 degrees
Let L and W be the length and width of the rectangle, respectively. To solve for the perimeter (P) and area (A), use the following formula:
P = 2 x (L + W)
A = L x W
Substituting the given value for the dimensions,
P = 2 x (2m + 3m) = 10 m
A = 2m x 3m = 6m^2
Therefore, the perimeter is 10m and the area is 6m^2.
Answer:
About 3.11
Step-by-step explanation:
Add the numbers and divide the value by the number of values in the data set.
6 + 3 + 5 + 2 + 2 + 3 + 3 + 1 + 3 = 28
28/9 = 3.1111...
3.111... ≈ 3.11
Hope this helps.
The slope of the graph is 3
