M/HCB = 60°, m/DCB = 9x-1, and m/DCH = 2x+ 16. Find x​

Step-by-step explanation:

Note that ∠DCB is the sum of ∠HCB and ∠DCH. Hence:

Substitute in the appropriate values/expressions:

Solve for x. Combine like terms:

Subtract 2x from both sides:

Add one to both sides:

And divide. Hence:

step-by-step explanation:

hihi so drawing these 2 triangles is fairly simple. all that's left is finding the height of each one. luckily, we have a side length and an angle, so there is a trig function we can use to solve for the height. the easiest one to use would be tangent, since we have 2/3 things needed to find and the third needed is what we are solving for. tan(73°) * 30 ~= 98.13 and tan(73°) * 35 ~= 114.45