Answer:
x = 101°
Step-by-step explanation:
the bottom left angle inside the triangle is supplementary to the angle which measures 148°, so the m∡ is 32°
47 + 32 + x = 180
79 + x = 180
x = 101°
Answer:
B = 1.875
Step-by-step explanation:
given that A varies directly as B and inversely as C then the equation relating them is
A =
← k is the constant of variation
to find k use the condition A = 12 when B = 3 and C = 2 , then
12 =
( multiply both sides by 2 to clear the fraction )
24 = 3k ( divide both sides by 3 )
8 = k
A =
← equation of variation
when A = 10 and C = 1.5 , then
10 =
( multiply both sides by 1.5 )
15 = 8B ( divide both sides by 8 )
1.875 = B
Answer:
B
Step-by-step explanation:
18 = 2 * 3 * 3 = 2 *3²


Hint:

Answer:
Step-by-step explanation:
let p¼ = a, q¼ = b
L.H.S. = (a - b)(a + b)(a² + b²) = (a² - b²)(a² + b²) = (a²)² - (b²)² = p - q = R.H.S.