All categories

2 years ago

BD is tangent to circle O at C, m(arc AEC) = 280, and m(arc ACE) = 140. Find m (The figure is not drawn to scale.)

Mathematics

1 answer:

Zepler [3.9K]2 years ago

8 0

Answer:

The correct answer is second option 60°

Step-by-step explanation:

From the figure we can write,

measure of arc AEC = measure of arc AE + measure of CE

measure of arc ACE = measure of AC + measure of CE

measure of arc AEC + measure of arc ACE = 280 + 140 = 420°

measure of arc AE + measure of CE + measure of AC + measure of CE = 420

measure of arc AE + measure of CE + measure of AC = 360°

measure of CE = 420 - 360 = 60°

The correct answer is second option 60°

You might be interested in

Find the exact sum or difference. 7/15+9/15

zavuch27 [327]

The sum of those two fractions is 1 1/15 but the difference between them is 2/15 while subtracting 9/15 from 7/15 is -2/15.

6 0

2 years ago

Write the equation of a line that includes the point (1,5) and has a slope of 3

Andreyy89

Answer:

The standard form would be -3x + y = 8

Step-by-step explanation:

To find this, start with point-slope form and then solve for the constant.

y - y1 = m(x - x1)

y - 5 = 3(x - 1)

y - 5 = 3x - 3

-3x + y - 5 = 3

-3x + y = 8

8 0

2 years ago

Find the least common multiple of x2 - 4x – 5 and x2 – 3x – 10.

castortr0y [4]

LCM is 3 (x + 1)(x - 5)(x + 2)

Step-by-step explanation:

Given polynomials are:

x2 - 4x – 5 and x2 – 3x – 10.

Factorizing x^2-4x-5

$x^2-4x-5\\= x^2-5x+x-5\\=x(x-5)+1(x-5)\\=(x+1)(x-5)$

Factorizing x^2 – 3x – 10

$x^2 -3x -10\\=x^2-5x+2x-10\\=x(x-5)+2(x-5)\\=(x+2)(x-5)$

Looking at the fators of both polynomials we can see:

The LCM will be the combination of all factors of polynomials. The factor that occurs in both factorization will be written only once

Hence,

LCM is 3 (x + 1)(x - 5)(x + 2)

Keywords: Polynomials, LCM

Learn more about LCM at:

#LearnwithBrainly

4 0

2 years ago

Landon Made a rug for the hallway Each Unit square is 1 square feet. What is the Area Of the Rug? ( Hint: use a paper to draw it

AleksandrR [38]

Answer:Area in square yards: There are 3 feet in a yard, so there are a total of 9 square feet in a square yard (3 x 3). To calculate the number of square yards in our example room, which you might want to do when ordering carpet, divide the total square footage of the floor by 9 (120 square feet / 9 = 13.33 square yards).

Step-by-step explanation:

7 0

2 years ago

When constructing triangles, what tool do we use to measure the length of a side?

densk [106]

Answer:

<h2>Using the protractor</h2>

Step-by-step explanation:

<h2>Hope this helps!!</h2>

3 0

2 years ago