Answer:
BC = 96
Step-by-step explanation:
Since AD is an altitude, then ∠ ADC = 90° , thus
4x + 10 = 90 ( subtract 10 from both sides )
4x = 80 ( divide both sides by 4 )
x = 20
Thus
BC = BD + DC
= 2x + 3x - 4
= 5x - 4
= 5(20) - 4 = 100 - 4 = 96
The area of a regular hexagon with an apothem 18.5 inches long and a side 21 inches is 1, 165. 5 In²
<h3>
How to calculate the area of a regular hexagon</h3>
The formula is given thus;
Area of hexagon = (1/2) × a × P
where a = the length of the apothem
P = perimeter of the hexagon
Given a = 18. 5 inches
Note that Perimeter, p = 6a with 'a' as side
p = 6 × 21 = 126 inches
Substitute values into the formula
Area, A = 1 ÷2 × 18. 5 × 126 = 1 ÷2 × 2331 = 1, 165. 5 In²
Thus, the area of the regular hexagon is 1, 165. 5 In²
Learn more about the area of a hexagon here:
brainly.com/question/15424654
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no 28
solution
(AB)=100
ABC+CBD=100
4x+2+3x-7=100
7x-5=100
7x=100+5
x=105/7
x=15
(CBD) =3x-7
3(15)-7
45-7
38
Step-by-step explanation:
by using above information
The y-intercept (or line intercept) is 1, and the slope is 3