Remember that opposite angles are congruent.
So,
we know that <E= <G
That is 45+45= 90 degrees
We also know that consecutive angles are supplementary. E and F would equal 180 degrees.
180-45=135
<F= 135 degrees.
We can check this by seeing if all the angles add up to 360 degrees/
135+135+45+45
=360 <== this works
I hope this helps!
~kaikers
Answer:
x2-30x-21=0
Step-by-step explanation:
x =(30-√984)/2=15-√ 246 = -0.684
x =(30+√984)/2=15+√ 246 = 30.684
Answer:
y = -1/3x + 2
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals.
The line y = 3x - 2 has slope 3.
The perpendicular line has slope -1/3.
Now we find the equation of the line that has slope -1/3 and passes through (-9, 5).
y = mx + b
y = -1/3x + b
5 = (-1/3)(-9) + b
5 = 3 + b
b = 2
The equation of the perpendicular is
y = -1/3x + 2
Ruth’s new floor cost $432.
The cost can be calculated as follows.
First, calculate the area of dining room. Use the formula of rectangle area (width x length)
Area = width x length
= 6 yd x 9 yd
= 54 sq yd
Second, calculate the total cost.
Cost = 54 sq yd x $ 8 per sq yd
= $ 432
Hence it cost $ 432 to install the new wood floor.
Read more on rectangle here
brainly.com/question/15019502?referrer=searchResults