The sum of the measures of the angles of a triangle is 180 degrees.
Angles STU and STR are supplementary angles.
Angles R and STR are congruent.
m<STU + m<STR = 180
8x + m<STR = 180
m<STR = 180 - 8x
m<R = m<STR = 180 - 8x
m<RST + m<R + m<STR = 180
7x - 54 + 180 - 8x + 180 - 8x = 180
-9x + 360 = 180
-9x = -126
x = 14
Answer: 
Step-by-step explanation:
To polygons are said to be similar if all the corresponding angles of given polygons are equal.
In the given figure, it can be seen that in quadrilateral FSHB and quadrilateral KTWJ all the corresponding angles are equal.
∠F=∠K
∠S=∠T
∠H=∠W
∠B=∠J
Therefore, The given polygons are similar.
Hence,
Answer:
$6.4
Step-by-step explanation:
You just do 32 × .2 to give you the discount of 6.4
You multiple by .2 because 20% as a decimal is .2 ( you do 20% divided by 100 to give you .2)
Well to do this, we need to know the least common multiple (LCM) of 6 and 8. Lets list the factors out.
6, 12, 18, 24, 30, 36
8, 16, 24, 32, 40, 48
As we can see, the least common multiple of 6 and 8 is 24.
Now we know that there are 8 plates per package and 8 goes into 24 3 times, so naturally Shaniya needs 3 packages of plates
Hope this helped!!! :)
