Question

1. Calcular “x”. Si AB + AD = 40.
2. Calcular AC.

Answer 1

1

Explicación paso a paso:

AB + AD = 40.

AB+BM=2x

• AB + a = 2x
• AB = 2x - a
• AD = 2x + a

Reemplazando :

AB + AD = 40.

• 2x - a + 2x + a = 40
• 4x = 40
• x = $\frac{40}{4}$
• x = 10

2

Explicación paso a paso:

BD = 22

AB = 2k

BC = 5k

CD = 3k

BD = BC + CD

22 = 5k + 3k

8k = 22

k = $\frac{22}{8}$

k = $\frac{11}{4}$

Calculamos AC :

AC = AB + BC

• AC = 2k + 5k

• AC = 7k

• AC = $7 x \frac{11}{4}$

• AC = $\frac{77}{4}$