Answer:
For line j to be parallel to line k, then x has to be equal to 0
Step-by-step explanation:
if line j is parallel to line k, then the two angles are equal.
They are equal because they would be alternate angles and alternate angles are equal in value
Thus,
3x + 10 = 5x + 10
5x-3x = 10-10
2x = 0
x = 0
830×20=16,600 because using place value we know anything ×2 you multiple that and add the zeros
Answer:
23 inches
Step-by-step explanation:
Circumference = 2πr
72 = 2×3.142×r
Divide through by 2 × 3.142
r = 
r = 11.458 inches
Diameter = 2r
Diameter = 2* 11.458 = 22.92
= 23 inches to the nearest inch
Answer:
Cos 74°= Sin 16°
Sin 20°= Cos 70°
Sin A°=Cos (90°- A°)
Step-by-step explanation:
This is because the three pairs are complementary i.e they add up to 90° and in trigonometric ratios, complementary ratios are equal.
Answer: 
Step-by-step explanation:
Given : Number of good laptops =20
Number of defective ones=3
Total laptops =23
If 2 laptops were selected, then the probability that none of them was defective would be = 

The probability that at least one will be defective= 1- P(none of them is defective)

Hence, the probability that at least one will be defective. 