patriciamarte21 patriciamarte21
  • 03-12-2018
  • Mathematics
contestada

b is the midpoint of ac, d is the midpoint of ce, bd=3x, and ae=60. find tye length of ab if ac= 5x+10

Respuesta :

AlonsoDehner AlonsoDehner
  • 04-12-2018

Answer:

AB = 30 units.

Step-by-step explanation:

Given that in a triangle ACE, B and D are mid points of AC and CE respectively.

By triangle theorem for mid points, we have

BD = 1/2 AE

Since AE is given as 60, we get BD =30

But BD also equals 3x (given)

So 3x=30 or x =10

Substitute in AC to get AC = 5x+10 = 5(10)+10 = 60

AB = 1/2 AC = 1/2 (60) = 30 units.

Answer Link

Otras preguntas

Explain why it is necessary to rename 4 1/4 if you subtract 3/4 from it? Help please.
Which answer is the sentence fragment? A. My sister found some fun jewelry at a 50 percent discount. B. Was there a long line at the food court around noon?
Write in vertex form: y = x2 - 4x - 1
what is log8 1/64=-2
What is a sentence with the word Evasively?
Write the equation in slope-intercept form. y=12+(x-1)(-4)
What is 1\2 - 3\11 simplified?
What did Bud learn about Herman E. Calloway from Miss Thomas? ---Bud, Not Buddy
Can all molecules diffuse through all cell membranes
Which expressions represent the distance between the two points? Choose all answers that are correct. The number line shows two points with coordinates negati