Answer: X = 7√2
Step-by-step explanation:
Let first Consider triangle BDC,
Cos C = adjacent/ hypothenus
Cos C = 7 / x ...... (1)
Also, let consider triangle ABC
Cos C = adjacent / hypothenus
Cos C = x / 14 ....... (2)
Since angle C is the same, equate equation 1 to 2
7/ x = x / 14
Cross multiply
X^2 = 98
Make x the subject of formula
X = sqrt (98)
X = sqrt ( 49 × 2 )
X = sqrt (49) × sqrt (2)
X = 7 sqrt(2)
X = 7√2
Simplify. Distribute 2 to all terms within the parenthesis
2(m -3) = 2m - 6
Simplify. Combine like terms
2m - 6 + 7 < 21
2m + 1 < 21
Isolate the m. Subtract 1 from both sides
2m + 1 (-1) < 21 (-1)
2m < 20
Isolate the m. Divide 2 from both sides
2m/2 < 20/2
m < 20/2
m < 10
m < 10 is your answer
hope this helps
<h2>○=> <u>Correct option</u> :</h2>

<h3>○=> <u>Steps to derive correct option</u> :</h3>
Selling price of a car = $19,000
Percentage of sales tax in the city = 8.3%
Sales tax :




Thus, the sales tax on the car = $1577
Cost of license and title = $75
Total price of car :
= Cost price of car + Sales tax + cost of license/title


Thus, the total purchase price of the car = $20,652.00
Therefore, the correct option is <em>(C) $20,652.00</em>
To be able to give the answer to this item, we are to represent first with any variables the amount he earns each weekend for mowing the same field. Also, we represent the number of weeks he had worked by the variable y. The total amount of money he will have after working for y weeks is,
T = xy
Since, we are not given with any other information of the other expenses that have to be paid then we can say that if T is already equal to the price of the new lawnmower then, Tom will be able to purchase it and begin his lawn mowing business in due time.