Answer:
∠ FGH = 125°
Step-by-step explanation:
The consecutive angles in a parallelogram are supplementary, then
∠ FGH + ∠ GHJ = 180° , that is
∠ FGH + 55° = 180° ( subtract 55° from both sides )
∠ FGH = 125°
Answer:
Julie and her 2 sisters want to buy a new videogame, it costs $20, if their grandmother gives them $3.20 to buy it, how much will each have to pay?
Step-by-step explanation:
When you have a problem like this you just have to thing on a reason to multiply by a fraction and a withdrawal from the total, if you are multiplying by a fraction, that means you are dividing money, so thats why we put julie and her sisters as subjects, and her grandma givin them money is to withdraw from the total amount those $3.20
11. Factoring and solving equations
- A. Factor-
1. Factor 3x2 + 6x if possible.
Look for monomial (single-term) factors first; 3 is a factor of both 3x2
and 6x and so is x . Factor them out to get
3x2 + 6x = 3(x2 + 2x1 = 3x(x+ 2) .
2. Factor x2 + x - 6 if possible.
Here we have no common monomial factors. To get the x2 term
we'll have the form (x +-)(x +-) . Since
(x+A)(x+B) = x2 + (A+B)x + AB ,
we need two numbers A and B whose sum is 1 and whose product is
-6 . Integer possibilities that will give a product of -6 are
-6 and 1, 6 and -1, -3 and 2, 3 and -2.
The only pair whose sum is 1 is (3 and -2) , so the factorization is
x2 + x - 6 = (x+3)(x-2) .
3. Factor 4x2 - 3x - 10 if possible.
Because of the 4x2 term the factored form wli be either
(4x+A)(x +B) or (2x+A)(2x+B) . Because of the -10 the integer possibilities
for the pair A, B are
10 and -1 , -10 and 1 , 5 and -2 . -5 and 2 , plus each of
these in reversed order.
Check the various possibilities by trial and error. It may help to write
out the expansions
(4x + A)(x+ B) = 4x2 + (4B+A)x + A8
1 trying to get -3 here
(2x+A)(2x+B) = 4x2 + (2B+ 2A)x + AB
Trial and error gives the factorization 4x2 - 3x - 10 - (4x+5)(x- 2) .
4. Difference of two squares. Since (A + B)(A - B) = - B~ , any
expression of the form A' - B' can be factored. Note that A and B
might be anything at all.
Examples: 9x2 - 16 = (3x1' - 4' = (3x +4)(3x - 4)
x2 - 29 = x2 - (my)* = (x+ JTy)(x- my)
Answer:
7 hrs
Step-by-step explanation:
$187 for 11 hrs
$119 for x hrs
write a proportion.
187/11 = 119/x since Reuben is making money at the same rate.
solve for x:
187x = 1309
x=7
7 hours
