please help I have a test tomorrow and I need someone to explain this to me please!!!!!!!!!!!!!
In triangle ABC, D is the midpoint of AB and E is the midpoint of AC. If BC=7x+1, DE= 4x-2 and the measure of angle ADE is 75, find
please find:
a. the value of x
b.)the value of DE and BC
c.)the measure of ABC
* 49 minutes ago
* - 4 days left to answer.
Additional Details
It's a isosceles triangle , D and E have a line going through (horizontal) and on that line it says DE= 4x-2 and on the bottom BC= 7x+1
In triangle ABC, D is the midpoint of AB and E is the midpoint of AC. If BC=7x+1, DE= 4x-2 and the measure of angle ADE is 75, find
please find:
a. the value of x
b.)the value of DE and BC
c.)the measure of ABC
* 49 minutes ago
* - 4 days left to answer.
Additional Details
It's a isosceles triangle , D and E have a line going through (horizontal) and on that line it says DE= 4x-2 and on the bottom BC= 7x+1
-
a. because D and E are the midpoints of AB and AC
=> DE=1/2 BC
=> 4x-2=1/2 (7x+1)
=> 2(4x-2)=7x+1
=>8x-4=7x+1
=>x=5
b. BC=7x+1=7(5)+1=36
DE=4x-2=4(5)-2=18
c. because D and E are the midpoints of AB and AC, so DE and BC are parallel
=> ADE=ABC=75 (corresponding angles)
=> DE=1/2 BC
=> 4x-2=1/2 (7x+1)
=> 2(4x-2)=7x+1
=>8x-4=7x+1
=>x=5
b. BC=7x+1=7(5)+1=36
DE=4x-2=4(5)-2=18
c. because D and E are the midpoints of AB and AC, so DE and BC are parallel
=> ADE=ABC=75 (corresponding angles)