Answer:
PEMDAS
[(30+6)-3^2] ÷ by 9·2
[(30+6)-9] ÷ by 9·2
[(36)-9] ÷ by 9·2
(27) ÷ by 9·2
Division comes first in this equation. Multiplication & Division goes from left to right when using PEMDAS. Same thing goes for Addition & Subtraction.
[(27) ÷ 9] · 2
(3) · 2
Answer: 6
Hopefully that made sense!
Step-by-step explanation:
Expand the factored expression (multiply all the terms back together), and see if it matches up with the original expression.
First picture:
When two lines intersect, they form 4 angles. Each 2 vertically opposed angles, are equal.
The sum of 2 angles is 114. We suppose they are vertically opposed, which means that each angle is 114/2 = 57 degrees.
Now the 4 angles of 2 intersect lines form a 360 degrees angle. Which means that the sum of the 2 other angles is 360 - 114 = 246 degrees.
Same thing, we divide that angle in 2 and we get 246/2 = 123. Which means that the other 2 angles are 123 degrees each.
So the sum of all the angles are 57, 57, 123 and 123.
Second Picture:
By hypothesis, we know that the angle is 172 degrees. The angle bisector divides an angle in 2 equal angles. So both angles, in this case, will be 172/2 = 86 degrees.
So the measure of an angle formed by the angle bisector of a given angle (172 degrees) and one of its sides is, in this case, 86 degrees.
Hope this helps! :)
Answer:
Option D (-4,7)
Step-by-step explanation:
we have
Square TUVW with vertices T(-6,1), U(-1,0), V(-2,-5), and W(-7,-4
<u><em>The question is</em></u>
Find out the coordinates of U'
Part a) Reflection: in the y-axis
we know that
The rule of the reflection of a point across the y-axis is
(x,y) -----> (-x,y)
so
U(-1,0) -----> U'(1,0)
Part b) Translation (x,y) —> (x-5,y+7)
That means ---> the translation is 5 units at left and 7 units up
so
U'(1,0) -----> U''(1-5,0+7)
U'(1,0) -----> U''(-4,7)
therefore
Option D (-4,7)
