Answer:
(x - 2) (x - 6)
Step-by-step explanation:
Factor the following:
x^2 - 8 x + 12
The factors of 12 that sum to -8 are -2 and -6. So, x^2 - 8 x + 12 = (x - 2) (x - 6):
Answer: (x - 2) (x - 6)
Angle 2 and angle 11 are alternate exterior angles. Line G and line L are parallel lines. Think of them as train tracks. On the outside or exterior of the train tracks is angle 2 and angle 11.
Angle 2 is on the right side of the transversal line, while angle 11 is on the left side of the transversal line.
So this is why they are alternate exterior angles. Because line G and line L are parallel lines, this means the alternate exterior angles are congruent (by the alternate exterior angle theorem).
Since angle 2 is 115 degrees, angle 11 must also be 115 degrees
Answer: C) 115
Answer:
12.50y
Step-by-step explanation:
- If 1 ltr=12.50
- what about y ltrs
Therefore, 1 ltr= 12.50
y ltrs=?
you do cross multiplication
hence, 12.50 × y= 12.50y
total cost= sh.(12.50y)
Answer:
192.5 ft²
Step-by-step explanation:
The large sector of the circle has a central angle measure of 360° -100° = 260°, so its area will be (260°/360°) of the circle, or ...
large sector area = (260/360)πr² = 13π/18·(8.35 ft)² ≈ 158.195 ft²
The area of the 100° triangle is ...
triangle area = (1/2)r²·sin(100°) = (1/2)(8.35 ft)²·sin(100°) ≈ 34.332 ft²
Then the shaded area is ...
shaded area = large sector area + triangle area
= 158.195 ft² +34.332 ft² ≈ 192.5 ft²
The shaded area is about 192.5 square feet.
