The question is asking to choose among the expression that represents the perimeter of the picture frame where as a rectangular picture frame has a width of 9cm and length of x cm and base on the fact, I would say that the answer would be 2x times 18. I hope you are satisfied with my answer
Answer:
The probability that the first card is a Heart and the second card is a Spade is 0.064.
Step-by-step explanation:
A standard deck of 52 cards is shuffled and two cards are drawn without replacement.
The denominations of the cards are as follows:
Spades (S) = 13
Hearts (H) = 13
Diamonds (D) = 13
Clubs (C) = 13
Compute the probability of selecting a Heart first as follows:

Compute the probability of selecting a Spade second as follows:

Since the two cards are selected without replacement the second draw is independent of the other.
Then the probability that the first card is a Heart and the second card is a Spade is:


Thus, the probability that the first card is a Heart and the second card is a Spade is 0.064.
Answer:
105°, 75°, and 105°.
Step-by-step explanation:
If two straight paths intersect at a point , four angles will be formed.
These are pairs of vertical angles.
The adjacent angles add up to 180°
If one of the angles is 75°, the supplement will be

Therefore the three other angles will be , 105°, 75°, and 105°.
Answer:
The answer to your question is: x₁ = 9 ; x₂ = -2, third option
Step-by-step explanation:
The excluded values are those that make the denominator equal to zero.
To find the excluded values, just factor the denominator and equal to zero to find the roots.
Process
x² - 7x - 18
- Find to numbers that added gives -7 and multiply -18.
- These numbers are -9 and + 2, because
-9 + 2 = -7
and -9 x 2 = -18
(x - 9) (x + 2) = 0
x₁ - 9 = 0 x₂ + 2 = 0
x₁ = 9 x₂ = -2
Test
(9)² - 7(9) - 18 (-2)² - 7(-2) - 18
81 - 63 - 18 4 + 14 - 18
81 - 81 18 - 18
0 0