Angle ABD = 40 Degrees. Angle DBC = 50 Degrees. Because we know that a right angle ( a boxed corner ) is 90 Degrees, you add up the X's and divide by 90 to find what X is. X in this case is 10. You then multiply using X ( 10 ). 4x10 is 40 and 5x10 is 50. Thus getting your angles.
Answer:
1. 1/2 or .5 (same thing)
2. 1
3. -4k
4. 28n^5
Step-by-step explanation:
1.
2/2^2 → 2/4 = .5
2.
3^4/3^4 → 81/81 = 1
3.
3k^2/7k = -4k
4.
7n^4 x 4n = 28n^5
Step-by-step explanation:
odd or factor of 100 is only 5
so answer is 33.3%
Answer:
ii) c = 4 iii) c = 8
Step-by-step explanation:
A = x axis intercept = 1/2 c
B = y axis intercept = c
ii) Area of a triangle = 1/2 x base x height
4 = 1/2 x (1/2)c x c
c² = 16
c = 4
iii) 2√5 will be the hypotenuse of a right-angled triangle with base 1/4 c and height 1/2 c
(2√5)² = (1/4 c)² + (1/2 c)²
20 = 1/16 c² + 1/4 c²
20 = 5/16 c²
c² = 64
c = 8
