Answer: ![230^{\circ](https://tex.z-dn.net/?f=230%5E%7B%5Ccirc)
Step-by-step explanation:
For convenience, I labeled some points as shown in the attached picture.
Also, I assume
and
are tangents to the circle.
(reflexive property)
(tangents drawn from a common external point are congruent)
(right angles are congruent)
Therefore, we know
by HL.
Thus, by CPCTC,
![\angle AOB \cong \angle BOC \implies m\angle BOC=65^{\circ}\\\\\implies m\angle AOC=130^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20AOB%20%5Ccong%20%5Cangle%20BOC%20%5Cimplies%20m%5Cangle%20BOC%3D65%5E%7B%5Ccirc%7D%5C%5C%5C%5C%5Cimplies%20m%5Cangle%20AOC%3D130%5E%7B%5Ccirc%7D)
This means the measure of minor arc AC is
, and thus ![b=360^{\circ}-130^{\circ}=\boxed{230^{\circ}}](https://tex.z-dn.net/?f=b%3D360%5E%7B%5Ccirc%7D-130%5E%7B%5Ccirc%7D%3D%5Cboxed%7B230%5E%7B%5Ccirc%7D%7D)
Answer:
A. 6
Step-by-step explanation:
Since, cake is of right triangled shape, so measure of its one angle would be 90° and the sum of the measures of the remaining two angles will also be equal 90°.
Therefore,
5x +10x = 90
15x = 90
x = 90/15
x = 6
Answer:
1,022.83 ft³
Step-by-step explanation:
volume= ⅓×½××19×17×19 = 1,022.83 ft³
Answer:
B
Explanation:
The y intercept can be read directly off of the graph, and is where the line intersects the y of the graph.
The slope (gradient) can be determined by using the equation y=mx+c, where we can substitute in the y intercept and an x and y value on the line.
y=mx+4
(2;0) is a point on the line, it is the coordinates of the x intercept (y intercept will work as well)
0=m(2)+4
m=-2
Answer:
TS=QV
Step-by-step explanation:
To prove SAS congruence, you need to prove that two lines and the angle between them are all respectively equal.
In the diagrams we already have RS=WV and ∠RST=∠WVQ, so it follows that we need to prove that TS=QV.