Answer:
Step-by-step explanation:
Cannot give you the number because we are not given the diagram.
However, it will be exactly the same as the measure of angle R in the original triangle PQR.
Rotation and dilation do not change angles.
Answer:
see explanation
Step-by-step explanation:
(a)
Given
x² + 5x + 6
Consider the factors of the constant term ( + 6) which sum to give the coefficient of the x- term ( + 5)
The factors are 3 and 2, since
3 × 2 = 6 and 3 + 2 = 5, hence
x² + 5x + 6 = (x + 3)(x + 2) ← in factored form
(b)
To solve
x² + 5x + 6 = 0 ← use the factored form, that is
(x + 3)(x + 2) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 2 = 0 ⇒ x = - 2
1 is not. 2 is. 3 is not. 4 is. 5 is. 6 is. 7 is not. 8 is.
In 2000 Emily was 9 years old.
Given that in the year 2015 Emily was three times as old as Kaitlin while by the year 2021 Kaitlin will be half as old as Emily will be, to determine how old was Emily on the year 2000 the following calculation must be performed:
- 2015 = E = 3K
- 2021 = E = 2K
- 24 /// 8 --- 30 /// 14
- 18 /// 6 --- 24 /// 12
- 18/6 = 3
- 24/12 = 2
- 2015 = Emily was 24 years old
- 24 - (2015 - 2000) = X
- 24 - 15 = X
- 9 = X
Therefore, in 2000 Emily was 9 years old.
Learn more in brainly.com/question/20025195
<span>A- 4 quarts over 8.7 gallon
B- 1 gallon over 4 quarts
C- 8.7 gallons over 4 quarts
D- 4 quarts over 1 gallon</span><span>Update: </span><span>Remember that 1 gallon = 4 quarts
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