I believe it is 5, the picture is kind of blurry but if 5 is a answer choice it is most likely 5
Answer:
g) x = 30
h) x = 30
i) m = 55
j) x = 24
k) k = 45
Step-by-step explanation:
G)
all angles of a triangle add up to 180.
the square in the bottom right of the triangle is 90 btw
2x + x + 90 = 180
3x + 90 = 180
3x + 90 - 90 = 180 - 90
3x = 180 - 90
3x = 90
3x/3 = 90/3
x = 30
H)
this is an Isosceles triangle.
that means the bottom two angles are equal.
75 + 75 + x = 180
x + 150 = 180
x + 150 - 150 = 180 - 150
x = 180 - 150
x = 30
I)
2m is supplementary to the bottom right angle of the triangle.
that means they add together to make 180.
80 + 30 + (180 - 2m) = 180
110 - 2m = 180 - 180
110 - 2m = 0
110 = 2m
110/2 = m
55 = m
J)
to save time I'm not going to write out the steps, its the same as the i.
2x + 3x + (180 - 120 ) = 180
5x + 60 = 180
5x = 180 - 60
5x = 120
x = 120/5
x = 24
K)
imagine this as a triangle and a square.
sorry I'm not sure how to explain this -.-
but the equation would be
k + k + 90 = 180
2k + 90 = 180
2k = 180 - 90
2k = 90
k = 45
L)
Im not sure how to solve this, I'm sorry :( hope you figure it out!
Answer:
5
Step-by-step explanation:
She received $75
1 CD cost $14.95
Therefore the number of CDs that can be bought are $75/$14.95 is
5.016
Answers:
- C) x = plus/minus 11
- B) No real solutions
- C) Two solutions
- A) One solution
- The value <u> 18 </u> goes in the first blank. The value <u> 17 </u> goes in the second blank.
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Explanations:
- Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
- There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
- The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
- We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
- Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.
Answer:
x g(x)
1 −10
2 −12
3 −14
Step-by-step explanation:
Substitute the values and do the arithmetic.
Table values for x are 1, 2, 3. We only need to find g(1) to determine which table is the correct choice.
f(1) = 1 +4 = 5 . . . . . . . . . put 1 where x is and do the arithmetic
g(1) = -2·f(1) = -2·5 = -10 . . . . . matches the 3rd choice
