As shown in the diagram below, AB is a diameter
of circle O, and chord AC is drawn.
If m∠BAC = 70, then mAC is

The measure of arc AC is 40°

Step-by-step explanation:

In any circle the measure of an inscribed angle is one-half the measure of its subtended arc

In circle O

∵ ∠BAC is an inscribed angle subtended by arc BC

∴ m∠BAC = m arc BC

∵ m∠BAC = 70°

- Substitute it in the the expression above

∴ 70 =   m arc BC

- Multiply both sides by 2

∴ 140 = m arc BC

∴ The measure of arc BC is 140°

∵ AB is a diameter

- The diameter divides the circle into two equal arcs

∴ m of arc ACB = measure of the circle

- The measure of the circle is 360°

∴ m of arc ACB = (360°)

∴ m of arc ACB = 180°

∵ m arc BC + m arc AC = m arc ACB

∴ 140° + m arc AC = 180°

- Subtract 140 from both sides

∴ m arc AC = 40°

The measure of arc AC is 40°

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

ok then what happened.