All categories

1 year ago

Lines CD and DE are tangent to circle A, as shown below:

Mathematics

1 answer:

Paraphin [41]1 year ago

6 0

Using the outside angle theorem, the measure of angle CDE is: 70°.

<h3>How to Apply the Angle of Intersecting Tangents Theorem?</h3>

According to the angle of intersecting tangents theorem, we would have the following equation using the diagram given:

Angle CDE = ½(measure of arc CBE - measure of arc CE)

Given the following:

Measure of arc CE = 110°
Measure of arc CBE = 360 - 110 = 250°

Plug in the values into the equation

Angle CDE = ½(250 - 110)

Angle CDE = 70°

Learn more about the angle of intersecting tangents theorem on:

brainly.com/question/11356657

#SPJ1

You might be interested in

Find the explicit formula for the general nth term of the arithmetic sequence described below. Simplify your answer.

Alexandra [31]

$\boxed{a_{n}=-3+8(n-1)}$

<h2>Explanation:</h2>

The explicit formula for the general nth term of the arithmetic sequence is given by:

$a_{n}=a_{1}+d(n-1) \\ \\ \\ Where: \\ \\ a_{n}:nth \ term \\ \\ n:Number \ of \ terms \\ \\ a_{1}:First \ term \\ \\ d:common \ difference$

Here we know that:

$a_{1}=-3 \\ \\ a_{10}=69$

So, our goal is to find the common difference substituting into the formula:

$a_{10}=a_{1}+d(10-1) \\ \\ 69=-3+d(9) \\ \\ Solving \ for \ d: \\ \\ 9d=69+3 \\ \\ 9d=72 \\ \\ d=8$

Finally, we can write the explicit formula as:

$\boxed{a_{n}=-3+8(n-1)}$

<h2>Learn more:</h2>

Geometric series: brainly.com/question/1509142

#LearnWithBrainly

8 0

3 years ago

Which equation shows the distributive property?

Pie

Answer:

The second equation which is a(b+c) = ab + ac.

Step-by-step explanation:

Remember that when you think of the word distribute, you want to see a variable or a number behind the parentheses. The fourth equation would not work despite there being distributive in which it will give you abc. The second equation is a great example of what a distributive property problem may do.

4 0

2 years ago

Worth 10 points, please help.:):):)

beks73 [17]

< is the answer because the bigger number the sum is going to be bigger than the average

8 0

2 years ago

Read 2 more answers

10x10x10x10x10 as an exponent?<br><br> Help ASAP!!!

soldier1979 [14.2K]

Answer:

10^5

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

What is the average rate of change from x = 0 to x = 4?

hammer [34]

1) find the corresponding y values for when x = 0 and when x = 4,
when x = 0, y = 4
when x = 4, y = 4

the coordinates are (0,4) and (4,4)

2) to calculate the average rate of change, find the slope of the two points:

(0,4) (4,4)

(change in y) 4 - 4 = 0
(change in x) 4 - 0 = 4

0/4 = 0

the average rate of change is 0!

3 0

2 years ago