Answer:
x = 25°
Step-by-step explanation:
3x + 2x + x + 30° = 180°
6x + 30° = 180°
6x = 150°
x =25°
=> 3x = 25 * 3 = 75°
=> 2x = 25 * 2 = 50°
=> x + 30° = 25° + 30° = 55°
Without using a calculator I would say the root is between 10 and 11
How I found the answer:
I know 10 * 10 = 100
I know 11 * 11 = 121
So the root of 100 = 10 and the root of 121 = 11 so that means the root of 108 is somewhere between 10 and 11, which the root of 108 = 10.3923
Consider the right triangle in the attached diagram. Using the Pythagorean theorem, you can find the distance marked "a" by
r² = a² + o²
a = √(r² - o²) = √(20² -16²)
a = √(400 - 256) = √144 = 12
The
maximum depth is the difference between r and a, so is (20-12) cm =
8 cm.
Answer:
(9,3)
Step-by-step explanation:
4(.25x + .5y = 3.75) → x + 2y = 15
(4x – 8y = 12) → x – 2y = 3
2x = 18
Divide both sides by 2
x = 9
Substitute x = 9 into x + 2y = 15
9 + 2y = 15
Subtract 9 from both sides
2y = 6
Divide both sides by 2
y = 3
Solution
(9, 3)
By the ASA postulate we figure that:
Angles C and D are equal (noted by the line through these angles)
Lines CB and DE are parallel and equal in length (noted by the double line through these sides)
Angle B and E are both 90° (noted by the square at each of these angles)
From this information, we can say that triangle CBA = triangle DEA is true.
