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
Image 1:
The required information for SAS is two pairs of congruent sides and a congruent pair of the included angles.
The rest looks great!
Image 2:
The required information for ASA is two pairs of congruent angles and a congruent pair of the included side.
The rest looks great!
Image 3:
The required information for AAS is two pairs of congruent angles along with a congruent pair of the non-included side.
The required information for HL is a pair of congruent hypotenuses and a pair of congruent legs.
The rest looks great!
Have an awesome day! :)
We are given the data 4 8 5 12 3 9 5 2 and is asked for the mean and standard deviation of the numbers or data set. The mean is the average equal to 6. The standard deviation reveals the spread of the data. In this case, the standard deviation is equal to 3.16
Area of semicircle is given by:
r is the radius, and we are given the diameter. Radius is half the diameter, so it's 2.5m. Let's plug that into the formula (using 3.14 as an estimation for pi):
So, the area of this semicircle is
9.81m².
Parallel lines have the same gradient so it’s the second or the fourth answer.
y = mx + c
y = 2x + c
3 = (2 x 2) + c
3 = 4 + c
3 - 4 = c
c = -1
y = 2x - 1
