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
The smaller number is 7 and the greater number is 11.
Step-by-step explanation:
Let,
x be the smaller number
y be the greater number
According to given statement;
x+y=18 Eqn 1
y+2x=25 Eqn 2
Subtracting Eqn 1 from Eqn 2
Putting x=7 in Eqn 1
The smaller number is 7 and the greater number is 11.
Keywords: numbers, linear equation
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The option B is correct, The second expression gives the correct value -24.
According to the statement
we have given that the some expression and a = -2 and b = 3 and we have to which expression gives a output of answer -24 after put the values in the expressions.
So, For this purpose
First expression:
Put a = -2 and b = 3
then
Second expression:
Put a = -2 and b = 3
then
Now,
Third expression:
Put a = -2 and b = 3
then
Now,
Fourth expression and first expression are same,
So,
Fourth expression:
Put a = -2 and b = 3
then
The second expression gives the correct value -24.
So, The option B is correct, The second expression gives the correct value -24.
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