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°
$150 because the supply number is equivalent to the demand number
Answer:
See below.
Step-by-step explanation:
1a)
<u>Angles:</u>
<u>Add:</u>
<u>Subtract:</u>
Angle a: 132.
1b)
To get angle h above 180°, <u>We need to add h + 164:</u>
h = 110.
This is how to get h over 180°.
Answer:
12
Step-by-step explanation:
These are similar triangles, so the ratio of their sides is the same for each side.
AB = 8 and BD = 10
So, the ratio is 8:10 or 4:5
Because the triangles are similar....
The ratio of AC:CE is also 4:5
12:15 = 4:5
So, 12 is the answer!
Answer:
10.2 gallons
Step-by-step explanation: