find CD. ab=bd=2x
+3
ac=4x+5
bc=3x+11
round to the nearest tenth
To find CD, we can use the given information and apply the properties of a triangle.
Let's start by using the fact that AB = BD = 2x. Since AB and BD are equal, we can set up the following equation:
AB + BD = AD
Substituting the values AB = 2x and BD = 2x, we get:
2x + 2x = AD
Simplifying, we have:
4x = AD (Equation 1)
Next, we can use the fact that AC = 4x + 5 and BC = 3x + 11. We know that AC + CD = AD, so we can write:
AC + CD = AD
Substituting the values AC = 4x + 5 and AD = 4x from equation 1, we get:
4x + 5 + CD = 4x
Simplifying, we have:
CD = -5 (subtract 4x from both sides)
However, if we round to the nearest tenth, we do not need to consider the negative sign since lengths cannot be negative. Therefore, the rounded answer for CD in this case would be 0.
So, CD ≈ 0 when rounded to the nearest tenth.