You can write a proportion because the two triangles are similar
=
(the second fraction is longer because I added the full lengths of the larger triangle) cross multiply to get (x)(x + 1 + x - 2) = (x - 2)(x + x + 5)
which simplifies to (x)(2x - 1) = (x - 2)(2x + 5)
then 2x² - x = 2x² + 5x -4x - 10
then 2x² - x = 2x² + x - 10
then 2x² = 2x² + 2x - 10
subtract 2x² from both sides to get 0 = 2x - 10
add 10 to both sides to get 10 = 2x
divide both sides by 2 to get 5 = x
Step-by-step explanation:
Hey there!
Given eqautions are:
y = 2x + 1......... (i)
y = 4x - 3...........(ii)
<em>Putting eqaution (ii) in eqaution (i), we get;</em>
4x - 3 = 2x + 1
<em>~ Keep like terms on same side.</em>
4x - 2x = 1+3
<em>~ Perform operations. ( +, -, *, /)</em>
2x = 4
x= 4/2
Therefore, X= 2.
<em>Putting the value of X in eqaution (i)</em>
y = 2x+1
y = 2*2+1
Therefore, y= 5.
Therefore, the ordered pair is (2,5).
<em><u>Hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
An expression equivalent is the
Answer: 424.12
Step-by-step explanation: