In the diagram, $A B$ and $A C$ have equal lengths. What is the value of $k$ ?
(A) -3
(D) -7
(B) -4
(C) -5
(E) -8

![](https://cdn.mathpix.com/cropped/2024_04_20_e85ef69091c57cb633f3g-143.jpg?height=428&width=463&top_left_y=1914&top_left_x=1297)
In the diagram, $A B$ and $A C$ have equal lengths. What is the value of $k$ ?
(A) -3
(B) -4
(C) -5
(D) -7
(E) -8

![](https://cdn.mathpix.com/cropped/2024_04_20_688a3b42f69739f2e244g-267.jpg?height=496&width=545&top_left_y=999&top_left_x=1343)

## Solution

Since $A B=A C=8,5-k=8$

$$
k=-3
$$

ANSWER: (A)