An exterior angle of a triangle is equal to the sum of the opposite interior angles.
⇢∠V + ∠T = ∠x
⇢53° + 103° = 156°
⇢∠VUX = 156°
Hence , option b is the correct answer.
Answer:
-2x + 6 
8x or 5x + 3 < 9
Step-by-step explanation:
-2x + 6 8x -> x
3/5
5x + 3 < 9 -> x < 6/5
Answer:
2/10 * 2/10 = 1/25
Step-by-step explanation:
Suppose you have 10 marbles in a bag.
5 black , 2 pink and 3 blue
As if two pink marbles are selected then
for one pink marble
probability = event occurred / total outcomes
= 2/10
Similar probability for an other pink marbles
Probability for the drawing two pink marbles is
P = 2/10 * 2/10
= 1/25
Answer:
a² + b² = 68
a3 + b3 = 520
Step-by-step explanation:
Given :
a + b = 10 (1)
ab = 16 (2)
A. Find a² + b²
(a + b)² = a² + 2ab + b² (3)
Substitutite the values of (1) and (2) into (3)
(10)² = a² + 2(16) + b²
100 = a² + 32 + b²
Subtract 32 from both sides
100 - 32 = a² + b²
a² + b² = 68
B. a^3 + b^3
(a + b)^3 = a^3 + b^3 + 3ab(a + b)
(10)^3 = a^3 + b^3 + 3*16(10)
1000 = a^3 + b^3 + 480
a^3 + b^3 = 1000 - 480
a3 + b3 = 520
