Answer:
∠EFH
Step-by-step explanation:
If AB and CD are parallel lines and EF is a transversal line, then angles formed on the same side of the transversal line and are exterior to the parallel lines are same side exterior angles.
Same side exterior angles theorem states that same-side exterior angles are supplementary.
From the image attached below:
∠ABC and ∠EFH are same side exterior angles, therefore:
∠ABC + ∠EFH = 180°
<span>x2 − 7x + 18
is prime
there is no way you can make two numbers multiply to get positive 18 and add to get negative 7
</span><span>(x − 9)(x − 2) = x^2 - 11x + 18
(x − 9)(x + 2) = x^2 -7x - 18
(x + 9)(x + 2) = x^2 +11x + 18</span>
Hrs worked = 9.25 + 8.75 + 9 + 8.25 + 9 = 44.25 hrs. (44.25 - 40 = 4.25 hrs overtime)
<span>40 hrs * $9.32 = $372.80 (Straight time) </span>
<span>$9.32 * 1.5 = $13.98 (Overtime rate) </span>
<span>4.25 (Overtime hrs.) x $13.98 (Overtime rate) = $59.42 (Overtime pay) </span>
<span>$372.80 + $59.42 = $432.22 (Total gross pay)</span>
Answer:
Exponential function;
.
Step-by-step explanation:
We have been given that a tennis tournament starts with 120 players. During each round of the game, half of the players are eliminated from the tournament.
We can see that the change in number of eliminated players is not constant. The number of players in tournament is decreasing exponentially. Therefore, an exponential function best models the relationship between the number of players in the tournament, y, and the game round, x.
We know that exponential decay function is in form
, where,
y = Final amount,
a = Initial amount,
b = Decay factor,
t = Time
Since during each round of the game, half of the players are eliminated from the tournament, so decay factor would be
.
Initially there were 120 players, so
.
Therefore, our required equation would be
.
5,200 x .07 = 364$ so then you’ll have 364 in commission