Register
Segment LM is the midsegment of trapezoid ABCD. AB= x + 8, LM = 4x + 3, and DC = 187. What is the value of x?
224k views
0 votes
Segment LM is the midsegment of trapezoid ABCD. AB= x + 8, LM = 4x + 3, and DC = 187. What is the value of x?

Segment LM is the midsegment of trapezoid ABCD. AB= x + 8, LM = 4x + 3, and DC = 187. What-example-1
User Antony Carthy
by
8.3k points

1 Answer

3 votes
Hello,
If we draw the line AM intercept DC in F,
using the theorem of Thales:

LM/DF=1/2
==>
(4x+3)/(187+x+8à=1/2
==>8x+6=195+x
==> 7x=189
==>x=27

User Johnny Wu
by
8.7k points
← Prev Question Next Question →

Related questions

User Bless Yahu
asked Jun 1, 2015 94.8k views
LM is the midsegment of trapezoid ABCD. AB= x + 8, LM = 4x + 3, and DC = 187. What is the value of x?
Bless Yahu asked Jun 1, 2015
by Bless Yahu
8.0k points
1 answer
3 votes
94.8k views
User Poly
asked Nov 12, 2017 157k views
LM is the midsegment of trapezoid ABCD. AB= x + 8, LM = 4x + 3, and DC = 187. What is the value of x?
Poly asked Nov 12, 2017
by Poly
7.8k points
1 answer
4 votes
157k views
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Other Questions

What is .725 as a fraction
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Write words to match the expression. 24- ( 6+3)
The cost of 5 similar digital cameras and 3 similar video cameras is 3213. Each video camera costs 4 times as much as each digital camera. John buys a digital camera and a video camera. How much does he
Link Copied!