Question

look at the diagram and evaluate. which of the statements below is true?
answer
$\text{de} < \text{cd}$
$\text{bc} = \text{cd}$
$\text{bd} > \text{ce}$
$\text{be} > \text{de}$

Explanation:

Step1: Identify point values

From the number line: $B=3$, $C=8$, $D=9$, $E=15$

Step2: Calculate each segment length

• $DE = |15-9| = 6$, $CD = |9-8| = 1$
• $BD = |9-3| = 6$, $CE = |15-8| = 7$
• $BC = |8-3| = 5$, $CD = 1$
• $BE = |15-3| = 12$, $DE = 6$

Step3: Verify each statement

• $DE < CD$: $6 < 1$ is false
• $BD > CE$: $6 > 7$ is false
• $BC = CD$: $5 = 1$ is false
• $BE > DE$: $12 > 6$ is true

Answer:

D. BE > DE