Answer:
y = 13
Step-by-step explanation:
If it's a parallelogram then its consecutive angles are supplementary (add up to 180°).
6x - 12 + 132 - x = 180°,
5x + 120 = 180
5x = 60
x = 12
6x - 12 = 6(12) - 12 = 72 - 12 = 60
Parallelogram, opposite angles are equal
so
6y + 18 = 6x - 12
6y - 18 = 60
6y = 78
y = 13
<span>Which expression is equivalent to the expression below? (x/x+4)/x = 5/x
a. (x/x+4)(x/1) =
b. (x/x+4)(1/x) = 5/x
c. (x+4/x)(1/x) =
d. (x+4/x)(x/1)</span>
Answer:
t=4
Step-by-step explanation:
Use the distributive property first on the left side (multiply 2 by t and 2 by 1). This leaves you with 2t+2=10. Then you just have a multistep equation. Subtract 2 from both sides (2 cancels out on the left side and you are left with 8 on the right side). Equation now looks like 2t=8. Then, you divide by 2 on both sides to isolate the t and you get 4.
Answer:
y =
x²
Step-by-step explanation:
Given that y and x² are directly proportional then the equation relating them is
y = kx² ← k is the constant of proportion
When x = 2
y = k × 2² = 4k
When x = 5
y = k × 5² = 25k
Then
25k - 4k = 20 ( difference between values is 20 )
21k = 20 ( divide both sides by 21 )
k = 
y =
x² ← equation of proportion
Just treat 'i' as a placeholder (I know that it represents √-1, but just add 'i' as if it were a placeholder becaseu that is what it is.)
(3+i)-(2-2i)
distribute
3+i-2+2i
group
3-2+i+2i=
1+3i
answer is A