Answer:
First, these angles are alternate interior angles.


Step-by-step explanation:
(10x - 5)° and (9x + 1)° are alternate interior angles. Thus, they are congruent to each other.
Thus, to find x, we will set each angle equal to the other.

Solve for x. Collect like terms


Answer:
BC = 5.87
Step-by-step explanation:
Reference angle = 50°
Side Opposite to reference angle = 7
Adjacent side = BC = ?
Apply trigonometric function, TOA, thus:
Tan 50 = Opp/Adj
Tan 50 = 7/BC
BC × Tan 50 = 7
BC = 7/Tan 50
BC = 5.87369742 ≈ 5.87 (nearest hundredth)
That the equation could be combined into like terms
Answer:
+$90;
$1,600
Step-by-step explanation:
The equation,
, given to us tells us much about the situation described above.
y = total pay
x = number of copies of Math is fun
1600 = y-intercept, that is the starting value or the pay he gets only if Sam sold 0 copy of Math is fun. That is, when x = 0, y = 1,600.
90 = unit rate or the change in the total pay for each copy of Math is fun that Sam sells.
Therefore, our answers would be:
+$90, and $1,600