Answer:
<h2>x = 28</h2><h2>CE = 132</h2><h2 />
Step-by-step explanation:
|<------------- CE -------------------->|
C-------------------D-------------------E
2x + 10 3x - 18
2x + 10 = 3x - 18
2x - 3x = -18 - 10
-x = -28
x = 28
CE = 2x + 10 + 3x - 18
CE = 2(28) + 10 + 3(28) - 18
CE = 56 + 10 + 84 - 18
CE = 132
Answer:
20√3 cm
Step-by-step explanation:
Altitude of an equilateral triangle splits it into 2 equal right triangles, it bisects the base and the angle opposite to the base.
<u>Let the altitude be x. Then as per Pythagorean theorem:</u>
- x² = 40² - (40/2)²
- x²= 1600 -400
- x²= 1200
- x= √1200
- x= 20√3 cm
<u>Correct choice is</u> the second one
Where’s the picture i need to see it to hel
Answer: 1050
Step-by-step explanation:
Number of combinations of selecting r things out of n = 
such that 
Given: A restaurant menu has 5 kinds of soups, 7kinds of main courses, 6 kinds of desserts, and 5 kinds of drinks.
If a customer randomly selects one item from each of these four categories, then by fundamental counting principle , the number of different outcomes are possible = 
hence, total number of outcomes = 1050
Answer: you would have to purchase $1300 of merchandise and the total yearly amount paid to the warehouse for each plan is $1210
Step-by-step explanation:
Let x represent the number of dollars of merchandise that you would have to purchase in a year to pay the same amount under both plans.
Plan A offers an annual membership fee of $300 and you pay 70%, of the manufacturers reccomended list price. This means that the total cost of using plan A would be
300 + 0.7x
Plan B offers an annual membership fee of $40 and you pay 90% of the manufacturers reccomended list price.
This means that the total cost of using plan B would be
40 + 0.9x
For both plans to be the same,
300 + 0.7x = 40 + 0.9x
0.9x - 0.7x = 300 - 40
0.2x = 260
x = $1300
The total yearly amount paid to the warehouse for each plan would be
40 + 0.9 × 1300 = $1210
