6x-1=4x+6
subtracting 4x from each side
2x-1=6
adding 1 to each side
2x=7
divide by 2
x=7/2 or 3.5
check: 6(7/2) -1 =4(7/2)+6
21-1 =14+6
20=20 correct
Answer:
Step-by-step explanation:
A parallelogram is a 4-sided polygon whose opposite sides are equal. By definition, opposite angles are also equal. A square, rectangle, or rhombus are considered as a parallelogram. Among the choices, the correct answer is D. "Opposite angles are congruent"
Answer:
No, those ratios are not proportional.
Step-by-step explanation:
The reason for them not being proportional is because 2/5 is already in its simplest form and 40/16 in its simplest form is 5/2, resulting in them not being equivalent meaning that they are not proportional.
Answer:
$1583.60 in interest (i), in addition to her savings (s) of $31,672.00
$33,255.60 total (t) after one year.
Step-by-step explanation:
$1583.60(i)(5%)+$31,672.00(s)= $33,255.60(t)
Subtract sqrt(3) to both sides so that the equation becomes -3x^2 + 7x + 2 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [-b ± √(b^2 -4ac) ] / (2a)
x = [ -7 ± √((7)^2 - 4(-3)(2)) ] / ( 2(-3) )
x = [-7 ± √(49 - (-24) ) ] / ( -6 )
x = [-7 ± √(73) ] / ( -6)
x = [-7 ± sqrt(73) ] / ( -6 )
x = 7/6 ± -sqrt(73)/6
The answers are 7/6 + sqrt(73)/6 and 7/6 - sqrt(73)/6.
