The salesman earns $850 per automobile he sells.
Since x represents the amount of automobiles the salesman sells, we can apply the commission as a coefficient to this variable. Therefore, the total commission that the salesman earns can be represented by $850x.
The bonus cheque is only received if the salesman's commission income is <em>at least </em>$6,800. 'at least' means that the salesman can still receive the cheque if his commission is exactly $6,800. The sign that we can use for this situation is the greater than or equal to sign, ≥.
The inequality that shows the commission income needed for the cheque is $850x ≥ $6,800. However, this question asks for the number of automobiles the salesman must sell to get the cheque.
Divide both sides by $850, as that represents his sales from one commission:
x ≥ 8
The inequality x ≥ 8 represents the amount of automobiles the salesman will need to sell to get the bonus cheque.
First, convert those inches to feet.
7in =ish 0.5833333
(you find this by dividing 7/12 on a calculator)
Now you just square 9.583333333
9.583333333^2
9.583333333 * 9.583333333
91.84027777ish
Rounded to the nearest foot, means the answer is 92ft.
Okay lets start with "what is a kite?" A kite is a shape which has 4 sides of which 2 pairs of two sides are equal and the center angle is 90 degrees. So mark up your drawing with tick marks to show that segment DF and segment FG are equal (just put a little tick mark on those segments). Similarly segments DH and GH are equal so put two tick marks on them to show they are equal. Mark the center angle with a little square to show it is 90 degrees. Let me give you some hints on the answers. a. is given like you have b. is what you marked on your drawing and is the definition of a kite e. is definition of congruency or even substitution f. Reflexive property - remember it just says that something is congruent to itself. g. looks like the HL property h. you can say that because of CPCTC.
Answer: C) d+13/d+4
Here’s why:
Step 1: Rewrite the factor
d^2 + 7d +4d +28 / (d+4)^2 + 6 / d+4
Step 2 : factor out d from the expression and factor out 4 from the expression
d × (d+7) + 4(d+7) / (d+4) ^2 + 6 / d+4
Step 3: Factor out d+7 from the expression
(d+7) × (d+4) / (d+4) ^2 + 6 / d+4
Step 4: simply the expression
d+7 / d+4 + 6/ d+4
Step 5: write all numerators above the common denominator
d+7+6 / d+4
Step 6: add the numbers and you get
d+13 / d+4
