Answer:
Measure of angle O is 56 degrees.
Step-by-step explanation:
We can see from diagram that NQ is minor arc and NRQ is major arc. Our angle R (inscribed angle) and O (central angle) are corresponding to minor arc NQ. We will use inscribed angle theorem which states that measure of inscribed angle is one-half the measure of central angle.
We are given that measure of inscribed angle R is 28 degrees. To find measure of our central angle O we will multiply 28 by 2.

Therefore, measure of angle O will be 56 degrees.
Answer:
I am pretty sure the last one is correct
Step-by-step explanation:
because VW || YZ, the 2 triangles are similar.
this is given by the rules of equal angles of intersecting lines with parallel lines. Z to V and Y to W would be such intersecting lines.
and therefore, the angle at W is the angle at Y, the angle at V is the angle at Z. and therefore both angles at A are equal.
so, for similar triangles the scaling factor between corresponding pairs of sides is the same for all sides.
e.g. the same scaling factor that converts 7.2 to 12, converts then also x to x+4.
7.2 × f = 12
f = 12/7.2 = 12/ 72/10 = 120/72 = 10/6 = 5/3
x × 5/3 = x + 4
5x = 3x + 12
2x = 12
x = 6
A to Y = x = 6
W to A = x + 4 = 6 + 4 = 10
Answer:
The correct answer is D
Step-by-step explanation:
Hope this help
Answer:
91
Step-by-step explanation:
85=last 4 tests
(85+x)/2=88
85+x=176
x=91