Answer:
The measure of angle a is 45 degrees.
Step-by-step explanation:
Notice that since PS = RS, this is an isosceles triangle. This means that the base angles are equal. We also know that the sum of interior triangles of a triangle equals 180, then, if 'a' is the base angle, we have the following equation:
90 + a + a = 180
2a = 180 - 90 = 90
a = 90/2 = 45
a = 45
Answer:
(x - 9)(x + 9)
Step-by-step explanation:
x² - 81 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), then
x² - 81
= x² - 9²
= (x - 9)(x + 9)
1 hour equals 60 minutes.
Divide the minutes by 60 to find the decimal portion of the time:
21 minutes / 60 = 0.35
Now add that to 3 hours to get decimal hours:
3 hours 21 minutes as a decimal would be 3.35 hours
Answer:
12
Step-by-step explanation:
In a triangle, shortest side has the shortest angle opposite to it.
As 6 is the shortest side angle opposite to it is 30.
Let the hypotenuse be h.
h*sin(30) = 6
h*(1/2) = 6
h = 12
<h2>
Explanation:</h2><h2 />
Hello! Remember you have to write complete questions in order to get good and exact answers. Here I could help you in a general way. Vertical Angles are those angles on opposite sides of intersecting lines They takes this name because they have the same vertex, or corner, at the intersection.
Vertical angles are always congruent, so this implies that they always have the same measure. From the figure below, we know that ∠1 and ∠3 are vertical and ∠2 and ∠4 are also vertical, therefore:
∠2 ≅ ∠4
