Mathematics: Which value of x would make ? 1 6 8 10

Which value of x would make ? 1 6 8 10 - id16810191604, shyann78

shouyuanroh8462

10.03.2022

$x=8\ in$

Step-by-step explanation:

we know that

If NO is parallel to KJ

then

Triangles LNO and LKJ are similar by AA Similarity Postulate

Remember that

If two figures are similar, then the ratio of its corresponding sides is equal

$\frac{LO}{LJ}=\frac{LN}{LK}$

substitute the values

$\frac{x-4}{x-4+x}=\frac{x-3}{x-3+x+2}$

$\frac{x-4}{2x-4}=\frac{x-3}{2x-1}\\ \\(x-4)(2x-1)=(x-3)(2x-4)\\ \\2x^{2}-x-8x+4=2x^{2}-4x-6x+12\\ \\-9x+4=-10x+12\\ \\10x-9x=12-4\\ \\x=8\ in$

0,0(0 оценок)