In the diagram of a circle shown below, m AC = 89° and m BC = 153°. Determine m∠ACB.

The measure of the angle ACB is 59°.

Step-by-step explanation:

Let be the location of the center of circle and is the radius of the figure, the triangles ACD and BCD are isosceles triangles, since . And the measure of the angle C associated with each triangle are, respectively:

Triangle ACD

Triangle BCD

Lastly, the measure of the angle ACB is:

The measure of the angle ACB is 59°.

15

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)

0.02

step-by-step explanation:

time of 9 192 631 770 periods of the radiation corresponding to the transition between the 2 hyperfine levels of the ground state of the caesium 133 atom at 0 k (but other seconds are sometimes used in astronomy)