Hey there!
4x + 7 + 35 = 90°
4x + 42 = 90°
SUBTRACT 42 to BOTH SIDES
4x + 42 - 42 = 90 - 42
CANCEL out: 42 - 42 because it give you 0.
KEEP: 90 - 42 because it help solve for the x-value.
NEW EQUATION: 4x = 90 - 42
SIMPLIFY IT!
4x = 48°
DIVIDE 4 to BOTH SIDES
4x/4 = 48/4
CANCEL out: 4/4 because it give you 1
KEEP: 48/4 because it give you the x-value
NEW EQUATION: x = 48/4
SIMPLIFY IT!
x = 12
Therefore, your answer is: x = 12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
(b) (a) (d) (a) (c)
Step-by-step explanation:
(i) The probability of an even card is 1/2 because the number of even cards and odd cards are the same so there is a 50% of getting an even card. (b)
(ii) Since the card is replaced, there is still a card for all numbers between 1-20. There are 8 prime numbers and 20 cards so the probability of getting a prime number is 8/20 or 4/10 or 2/5. (a)
(iii) The card was not replaced so there are only 19 cards and there are only 5 numbers that are multiples of 3 and greater than 4. The probability must be 5/19. (d)
(iv) A sure event means that it will happen 100%. So P(A) = 1 since the number one represents 100%. (a)
(v) All cards have replaced and there is only one number that is a multiple of 3 and 5 which is 15. 1 card out of 20 is a desired outcome so 1/20 is the probability. (c)
Answer:
Step-by-step explanation:
First simplify the quadratic present
⇒
Answer:
20
Step-by-step explanation:
if 7 nails are required for each piece of wood, you must determine how much wood you have in total by dividing the amount of nails by 7.
If you have used 40 nails out of sixty, you 20 left because
60-40=20
Answer:
see explanation
Step-by-step explanation:
Using proportion to find the teachers required x, then
= 
( cross- multiply )
221x = 3536 ( divide both sides by 221 )
x = 16
The number of teachers required this year is 16
