Answer:
∠ 3 = 63°
Step-by-step explanation:
∠ 2 and ∠ 3 are adjacent angles and supplementary, thus
∠ 2 + ∠ 3 = 180°, that is
117° + ∠ 3 = 180° ( subtract 117° from both sides )
∠ 3 = 63°
Answer:
Step-by-step explanation:
Function to be graphed is,
h(x) = 2(x - 3)²
Function 'h' is a quadratic function.
Since, the coefficient of the leading term (term with the highest power) is positive, parabola will open upwards.
Both the ends of the parabola will be upwards (towards positive infinity).
As x approaches to negative infinity, h(x) approaches to positive infinity.
As x approaches to positive infinity, h(x) approaches to positive infinity.
Answer:

Step-by-step explanation:

Lets split the numerator and denominator.

Lets factorise the numerator and denominator.


Cancelling x - 4 from numerator and denominator ,

Answer:
Step-by-step explanation:
The supplement to ∠1 = 180°-135° = 45° = ∠3, so m is parallel to j and l.
∠2 ≠ 45° and ∠2 ≠ 135°, so k is not parallel to j, l, or m.
He started with 17 quarter's. He had a certain number of quarters he added to his collection each day, on day two he had 26, and two days later he had 35, meaning he increased the amount of quarters my 9 over two day's, so I subtracted 9 from 26 because if you do you can remove the quarters he added in from the ones he started with, so the answer is: He started with 17.