Answer: option C. They are parallel and congruent.
The point J is translated 3 units to the right and 2 units upward to form point J'.
The point O is translated 3 units to the right and 2 units upward to form point O'.
So, both the length and the angle of the lines JJ' and OO' are congruent, meaning that the two segments are parallel and congruent.
Answer:
r<-4
Step-by-step explanation:
when inequality is divided by a negative number the sign changes to next direction.
5(2x + 6) = -4(-5 - 2x) + 3x
Distribute: 10x + 30 = 20 + 8x + 3x
Combine like terms: 10x + 30 = 20 + 11x
Simplify: 10x + 30 - 20 = 20 - 20 + 11x
Simplify: 10x - 10x + 10 = 11x - 10x
Divide for x: 10/1 = 1x/1
x = 10
<u>Answer</u>:
A.
<u>Step-by-step explanation:</u>
The formula for arc length is:
arc length = rθ
where:
r is the radius = 7 in
θ is the central angle in radians = 135 × = 3/4 π
Substituting these values into the formula:
arc length = 7 in × 3/4 π
=
Well, First I would write it in the expanded form which is 16x^2-56x+49=44 then i would reorder my terms to 49+-56x+16^2=4 then solve for x so it would be 49+ -44 + -56 +16^2=44+ -44 then combine the like terms 49+ -44=5
5+-56x+16x^2= 44+-44 would turn into
44+ -44 =0
5+ -56+16^2=0
i would do the squaring and divide all the terms by 16 the coefficient of the squared term:
divide each side by 16 so
0.3125+ -3.5x+ x^2=0
move the constant to the right
add -0.3125 to each side 0.3125 + -3.5x + -0.3125 + x2 = 0 + -0.3125 then reorder
<span>0.3125 + -0.3125 + -3.5x + x2 = 0 + -0.3125
</span><span>0.3125 + -0.3125 + -3.5x + x2 = 0 + -0.3125
then
</span><span>x + -1.75 = 1.658312395
Simplifying
x + -1.75 = 1.658312395
Reorder the terms:
-1.75 + x = 1.658312395
Solving
-1.75 + x = 1.658312395
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1.75' to each side of the equation.
-1.75 + 1.75 + x = 1.658312395 + 1.75
Combine like terms: -1.75 + 1.75 = 0.00
0.00 + x = 1.658312395 + 1.75
x = 1.658312395 + 1.75
Combine like terms: 1.658312395 + 1.75 = 3.408312395
x = 3.408312395
Simplifying
x = 3.408312395
then
</span>x + -1.75 = -1.658312395
Simplifying
x + -1.75 = -1.658312395
Reorder the terms:
-1.75 + x = -1.658312395
Solving
-1.75 + x = -1.658312395
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1.75' to each side of the equation.
-1.75 + 1.75 + x = -1.658312395 + 1.75
Combine like terms: -1.75 + 1.75 = 0.00
0.00 + x = -1.658312395 + 1.75
x = -1.658312395 + 1.75
Combine like terms: -1.658312395 + 1.75 = 0.091687605
x = 0.091687605
Simplifying
x = 0.091687605
<span>
and finally your solution is x=3.408312395 and x=0.091687605
</span><span>
or another way to write it is
</span>x=\frac{1}{4}(7-2 \sqrt{11} )
[/tex]
x=\frac{1}{4}(7+2 \sqrt{11} ) [/tex]