In the diagram shown, C is the midpoint of BD. What is the length of AC?
Set up an equation based on the given information, solve
for x, and plug answer back in to answer the question

AC = 20

Step-by-step explanation:

C is the midpoint of BD.

That means that BC = CD

BC = x + 4

CD = 3x - 10

x + 4 = 3x - 10                       Subtract x from both sides

4 = 3x - x - 10                       Combine

4 = 2x - 10                            Add 10 to both sides

4 + 10 = 2x - 10 + 10            Combine

14 = 2x                                 Divide by 2

14/2 = 2x/2                          Combine

7 = x

AC = AB + BC

AC = 2x - 5 + x + 4

AC = 3x - 1

AC = 3*7 - 1

AC = 21 - 1

AC = 20

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2