100 POINTS!!!!!!!!!!
2 answers:
Answer:
x = 6 , x = 4
Step-by-step explanation:
A line parallel to a side of a triangle and intersecting the other 2 sides then divides those sides proportionally, that is
=
=
=
( cross- multiply )
3x = 18 ( divide both sides by 3 )
x = 6
(14)
=
( cross- multiply )
15(5x + 1) = 35(x + 5) ← distribute parenthesis on both sides
75x + 15 = 35x + 175 ( subtract 35x from both sides )
40x + 15 = 175 ( subtract 15 from both sides )
40x = 160 ( divide both sides by 40 )
x = 4
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Answer:
1)
2)
3)
4) 40
5)
Step-by-step explanation:
1) Distribute the negative sign that is outside the parentheses and then you must add like terms, as following:
2) According to the Product property of exponents, when you multiply powers with the same base, you must add the exponents. Then:
3) Apply the Distributive property and the Product property of exponents. Then, you obtain:
4) is a square of a sum, then, by definition you have:
Then:
The coefficient of the second term is the number in front of the variable <em>a.</em> Then, the answer is: 40
5) Apply the Distributive property and the Product property of exponents, then, oyou must add the like terms: