Answer:
A = 25
Step-by-step explanation:
Base = |-2-(-7)| = |-2+7| = 5
equation of the line that includes the base
x = 6 (because it is parallel to y axis)
the height passes to the point (-4,-4) and must be perpendicular to the base
the equation of the line of the base hasn’t the slope expressed, so the line of the height has a slope equal to 0
so the equation of the line is y= -4
the point (6,-4) is where the two lines intercept and it is the point where the height hit the base
height = |-4-6| = 10
A = (base x height)/2 = (5x10)/2 = 25
She received $25 in commissions
Answer:
∠1 = 48
∠2 = 132
∠4 - 132
Step-by-step explanation:
∠3 and ∠1 are vertical angles
vertical angles are congruent ( equal to each other )
So if ∠3 = 48° then ∠1 also = 48°
∠3 and ∠4 are supplementary angles
supplementary angles add up to equal 180°
Hence, ∠3 + ∠4 = 180
48 + ∠4 = 180
180 - 48 = 132
Hence, ∠4 = 132
∠4 and ∠2 are vertical angles
Like stated previously vertical angles are congruent
Hence, ∠2 = 132
Number of lawn mowing = x.
His cost per lawn for fertilizer = $6.
His cost per lawn for labor = $14.
Total cost per lawn for fertilizer and per lawn for labor for him = 6+14 = $20.
He charges = $25 per lawn.
So, profit per lawn = 25 - 20 = $5.
Therefore, for mowing x number lawn could be represented by polynomial that represents his weekly profit.
<h3>a) P(x) = 5x.</h3>
b) For mowing 40 lawns per week total profit would be
P(40) = 5(40) = $200.
c) Number of weeks an year = 52.
Therefore,
<h3>Annual profit is 52 * 200 = $10400.</h3>