Answer:
Step-by-step explanation:
<u>Given</u>
- DE = 3x + 2, EF = x + 5, DF = 23
<u>As per segment addition postulate</u>
<u>Substituting values:</u>
- 3x + 2 + x + 5 = 23
- 4x + 7 = 23
- 4x = 16
- x = 4
Answer:
2/1 or 400/200
Step-by-step explanation:
Answer: d = 12
Step-by-step explanation: First isolate d/3 by subtracting 10 from both sides of the equation. That gives you d/3 = 4.
From here, since <em>d</em> is being divided by 5, multiply both sides of the equation by 5 so <em>d = 12</em>.
Answer:
100
Step-by-step explanation:
Answer:
A.

Step-by-step explanation:
Given



Required
Determine the coordinates of C
Since, point D divides line AB in ratio, 5 : 3;
We start by calculating the coordinates of D;
This is done as follows;

Where







<em />
<em>Since AC is vertical</em>
<em>Then, Point C has the same x coordinate as A</em>
<em />
<em />
<em />
<em>Similarly;</em>
<em>Since CD is horizontal</em>
<em>Then, Point C has the same y coordinate as D</em>
<em />
<em />
<em />
Hence,
