Step-by-step explanation:
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Answer:
Remember that the slope of perpendicular lines are negative reciprocals of each other.Step-by-step explanation:y = 1 - 2x the slope is -2 the value of the x term.So the slope of the new line using point (- 1, 2) is 1/2.Now use y = mx + b where y = -1, x = 2, and m = 1/2 .y = mx + b-1 = 1/2(2) + b solve for "b", the y-intersect-1 = 1 + b-2 = bThe line that is perpendicular to y = 1 - 2x is y = 1/2x - 2
Step-by-step explanation:
It’s x>1
Step-by-step
|3x+2|>3
step 1: add 2 both sides
|3x +2|-2+2>3+2
|3x+2|=5
step 2: solve absolute value
|3x+2|>2
we know either 3x+2> 3x+2<-5
3x+2>5 subtract two from both sides
3x+2-2>5-2
3x>3
Now divide three by both sides
X>1
1. 25% of 8$ is 2$, so dividing 16 and 2, it takes 8 weeks for 16 dollars
2. 400 is 80% of what number?, y=400x100/80
Y= 500
a. Pentagon
Interior angle:
5 sides => form 5 triangles => central angle: 360 / 5 = 72°
interior angle = 2x
angles in every triangle: x => x + x + 72° = 180°
=> 2x = 180° - 72° = 108°
Answer 108°
Exterior angles = 360° / number of sides = 360° / 5 = 72°
Answer: 72°
b. 16 - gon
Interior angles: 2x
number of triangles = 16
central angle = 360 / 16 = 22.5°
interior angle 2x, where 180° - 22.5° + x + x => 2x = 180° - 22.5° = 157.5°
Answer: interior angle 157.5°
Exterior angles: 360 / 16 = 22.5°
Answer: exterior angles = 22.5°
c. Dodecagon
number of sides 12
central angle = 360° / 12 = 30°
interior angle, 2x => 30 + 2x = 180 => 2x = 180 - 30 = 150°.
Answer: interior angle = 150°
Exterior angle = 360° / number of sides = 360° / 12 = 30°
Answer: exterior angle = 30°
