Answer:
x = 20
Step-by-step explanation:
<em>Each line creates a 180° angle on each side of it. Since these lines intersect, they have congruent angles. This means that these two quantities can be set equal to each other.</em>
3x + 50 = 6x - 10
<em>Solve by combining like-terms and isolating </em><em>x</em><em>. Move the </em><em>3x</em><em> to the right by subtracting it from both sides.</em>
50 = 3x - 10
<em>Move the </em><em>10</em><em> to the left by adding it to both sides.</em>
60 = 3x
<em>Divide the </em><em>3</em><em> from both sides to isolate the </em><em>x.</em>
x = 20
<em>Furthermore, this can be checked by plugging in </em><em>20</em><em> to </em><em>x</em><em> and seeing if the expression is true.</em>
3(20) + 50 = 6(20) - 10
110 = 110
Answer:
um... okie
Step-by-step explanation:
Answer: Option 'C' is correct.
Step-by-step explanation:
Since we have given that
Original price of a telescope = $400
Mark up percent = 32%
So, Price after mark-up is given by

Hence, Option 'C' is correct.
Answer:
Julia has enough gas to mow the two yards.
Step-by-step explanation:
Given:
Julia needs
gallon of gas to mow first yard.
Julia needs
gallon of gas to mow second yard.
Julia has a total of
gallon of gas in in her can.
To find whether she has enough to mow both yards.
Solution:
Total gallons of gas needed to mow two yards can be found out by :
⇒ 
Taking LCD =80.
⇒ 
⇒ 
Adding the numerators.
⇒ 
⇒ 1.2125 gallons
Julia has
gallon = 1.5 gallons of gas in in her can.
Since
, thus we can say that Julia has enough gas to mow the two yards.
Answer:
(x +4)^2 + (y-2)^2 = 16
Step-by-step explanation:
We can write the equation for a circle with the formula
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r is the radius
We know the center is at (-4,2) and the radius is 4
(x- -4)^2 + (y-2)^2 = 4^2
(x +4)^2 + (y-2)^2 = 16