Which of the following values is closest to the standard deviation for the set

The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. S

Stels [109]

Applying the angles of intersecting secants theorem, the measure of angle ACB is: 16°.

<h3>What is the Angles of Intersecting Secants Theorem?</h3>

The angles of intersecting secants theorem states that the angle formed by two lines (secants or a tangent and a secant) that intersect outside a circle equals half the difference of the measure of the intercepted arcs.

Find m(XA) based on the inscribed angle theorem:

m(XA) = 2(m∠CBA)

Substitute

m(XA) = 2(42)

m(XA) = 84°

Based on the angles of intersecting secants theorem, we would have:

m∠ACB = 1/2[m(AB) - m(XA)]

Substitute

m∠ACB = 1/2[100 - 84]

m∠ACB = 16°

Therefore, applying the angles of intersecting secants theorem, the measure of angle ACB is: 16°.

Learn more about the angles of intersecting secants theorem on:

brainly.com/question/1626547

5 0

2 years ago

Read 2 more answers

At a particular music store, CDs are on sale at $12.00 for the first one purchased and $9.00 for each additional disc purchased.

kondor19780726 [428]

Maria bought 9 CDs. Hope I helped :)

8 0

3 years ago

Read 2 more answers

A figure lies on a coordinate plane with point B located at (2,-5). The figure is rotated 90 degrees counter-clockwise around a

Rufina [12.5K]

<h3>Answer: (12,3)</h3>

======================================================

Explanation:

R is located at (3,4). Move it 3 units to the left and 4 units down to have it move to (0,0). Call this point A. Apply the same translation rule to point B so that (2,-5) moves to (-1,-9). Let's call this point C

Now you'll use the rule $(x,y) \to (-y,x)$ which rotates any point around the origin 90 degrees counterclockwise. So we're rotating C around A.

Point C has the coordinates (-1,-9). When you use the rotation rule $(x,y) \to (-y,x)$ we get $(-1,-9) \to (-(-9), -1) = (9, -1)$ . We'll call this point D

Finally, undo the translation rule done at the start of the problem. So we'll go 3 units to the right and 4 units up to have point D move to point E = (12,3) which is exactly where point B' is located.

Check out the diagram below.