Answer:
1) No
2) Yes
3) angle UXS = 120 degrees
4) arc CB = 40 degrees
Step-by-step explanation:
If AB is tangent to the circle, then angle at A would be 90 degrees.
1)
Is 13^2 + 14.6^2 = 19.4^2?
169 + 213.16 = 376.36 No
2)
Is 8^2 + 6^2 = 10^2?
64 + 36 = 100 Yes
3)
arc WS = arc VU + arc TU = 113 degrees
arc ST = arc WV because their chords cross making a pair of vertical angles.
full circle = 360 degrees
360-113 - 113 = 134 degrees
134/2 = 67 degrees for arc ST
arc STU = 67 + 53 = 120 degrees
Angle UXS = 120 degrees
4) arc CB = arc FB = 40 degrees because their chords cross making a pair of vertical angles.
Answer:
1/2
Step-by-step explanation:
The formula for slope is (y2 - y1)/(x2-x1)
In this case, it is (2 - 1/2)/(4-1) which is 1.5 over 3. The slope is 1/2
Short Answer C
Nice little problem. The catch is that alpha and beta both add up to 90 degrees.
Here's why.
α + β + right angle = 180° All triangles have 180° A right and = 90°.
α + β + 90 = 180 Right angles are 90° Now subtract 90° from both sides
α + β = 180 - 90
α + β = 90
Now all you have to do is put in the x values for alpha and beta and equate them to 90
5x/3 + 20 + 2x/3 + 14 = 90 Collect the light terms.
5x/3 + 2x/3 + 20 + 14 = 90
7x/3 + 34 = 90 Subtract 24 from both sides.
7x/3 = 90 - 34
7x/3 = 56 Multiply by sides by 3
7x = 3*56
7x = 168 Divide by 7
x = 168/7
x = 24
That's not quite the answer
The question wants alpha.
α = 5x / 3 + 20
α = 5*24/3 + 20
α = 120/3 + 20
α = 40 + 20
α = 60
Answer C <<<<<<
2 / (1/4) =
2 * 4 =
8 total students
