Finding Angle Measures:
Find the value(s) of the variable(s).
(3x+20)(5x+50)(y)
Please show steps!
It seems to me there ought to be an equals sign somewhere.
Could it be angles in a triangle and that y is a typo, really x ?
YES
To find the value(s) of the variable(s) in the expression (3x+20)(5x+50)(y), we need to multiply the terms together and expand the expression. Here are the steps:
Step 1: Multiply the first two terms: (3x+20)(5x+50)
To expand this expression, we can use the distributive property. Multiply each term from the first parentheses by each term from the second parentheses.
(3x+20)(5x+50) = 3x * (5x+50) + 20 * (5x+50)
Step 2: Use the distributive property again to expand the expression further.
3x * (5x+50) + 20 * (5x+50) = (3x*5x + 3x*50) + (20*5x + 20*50)
Step 3: Multiply each term.
(3x*5x + 3x*50) + (20*5x + 20*50) = 15x^2 + 150x + 100x + 1000
Step 4: Combine like terms.
15x^2 + 250x + 1000
Now, we have the expanded expression (3x+20)(5x+50) = 15x^2 + 250x + 1000.
Step 5: Multiply the obtained expression with the variable y.
(15x^2 + 250x + 1000)(y) = 15x^2y + 250xy + 1000y
Therefore, the value(s) of the variable(s) in the expression (3x+20)(5x+50)(y) are 15x^2y, 250xy, and 1000y.