Answer:
x = 7
Step-by-step explanation:
angles 2 and 3 form a straight angle and are supplementary, that is they sum to 180°, hence
∠2 + ∠3 = 180 ← substitute values
20x - 1 +4x + 13 = 180
24x + 12 = 180 ( subtract 12 from both sides )
24x = 168 ( divide both sides by 24 )
x = 7
We need to use the pythagorean theorem
a^2 + b^2 = c^2
where a and b are the legs, and c is the hypotenuse
47^2 + 18^2 = c^2
c = sqrt(2533)
c = 50.33
The length of the wire is 50.33 meters.
(See attached image.)
Answer: 3
Step-by-step explanation:
Plug the numbers into the formula:
-> 
Reduce:
Answer:
0.654
Step-by-step explanation:
There are 12 sweets in a bag.
4 are lemon flavour.
4 are caramel flavour.
4 are orange flavour.
Jude takes at random 3 sweets at the same time.
Work out the probability that exactly 2 of the sweets are the same flavour.
Probability = Required outcome / Total possible outcomes
Required outcome = either exactly 2 of lemon or 2 of caramel or 2 of Orange
Required outcome = 3[4C2 * 8C1) = 3(6*8) = 144
Total possible outcomes = 12C3 = 220
P(exactly 2 are same flavor) = 144 / 220 = 0.654
Im new here, Could anyone help me
