What’s the measure of ACD

option H, 130°

Step-by-step explanation:

In order to find the measure of ∠ACD, first find the measure of ∠ACB

∠ACB + ∠ABC + ∠BAC = 180° (angle sum property of a triangle)

∠ACB + 95° + 35° = 180°

∠ACB + 130° = 180°

∠ACB = 180° - 130°

∠ACB = 50°

∠ACD + ∠ACB = 180° (linear pair)

∠ACD + 50° = 180°

∠ACD = 180° - 50°

∠ACD = 130°

therefore, option H is the correct option

hope it helps you!

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.