Answer:
∠ ABC = 22°
Step-by-step explanation:
OA = OB ( radii of circle )
Then Δ OAB is isosceles with base angles congruent , that is
∠ OBA = ∠ OAB = 17x
The sum of the 3 angles in the triangle sum to 180°
17x + 17x + 11x = 180
45x = 180 ( divide both sides by 45 )
x = 4
Then
∠ OBA = 17x = 17(4) = 68°
BC is a tangent so ∠ OBC = 90°
∠ ABC = 90° - ∠ OBA = 90° - 68° = 22°
To find area you multiply the height and width so which ever are the height and width out of those numbers you multiply them together
Y=-3x+2:
Already in slope intercept form
Graph by plotting a point on (0,2)
Then move 3 points up and 1 to the right and plot the point and keep doing that a couple times
-3x-y=-2:
Add -3x on both sides
The result would be
-y=3x-2
Divide everything by negative 1
Y=-3x+2
Both equations are the same so they are the same line
Answer:
0.05 in decimal form
Step-by-step explanation:
I don't know if you accidentally left something out but if you did I can edit my answer or put the answer in the comments.
Given: A= 14 ft² and l= 2w-3
formula for area of a rectangle is A=lw
substitute for what you know and simplify:
14=(2w-3)w -> w= either -2 or 7/2 but because a width value can not be negative you can eliminate the -2 value. w=7/2
subsitute width into equation for length and solve
l=2w-3= 2(7/2)-3= 4
width: 3.5 ft
length: 4 ft
