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melisa1 [442]
2 years ago
12

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°

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Step-by-step explanation:

3 divided by 6  is .5

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3 years ago
Which of these situations does not have quantities that combine to make 0.
Lostsunrise [7]

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B. Hikroko earns $20 working concessions at the football game. she earns $20 as as babysitter

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4 0
2 years ago
Brent sells an avarage of 52 pot holders each week. about how many pot holders does he sell in 58 weeks.
Inessa [10]

The amount of pot holders Brent sold for 58 weeks is 3016

<h3>How to find the amount of pot holders Brent sold?</h3>

He sells 52 pot holders each week.

This means for every week, he sold 52 pot holders. Therefore, the amount of pot holders he sold for 58 weeks can be solved as follows:

1 week = 52 pot holders

58 weeks  = ?

cross multiply

number of pot sold for 58 weeks = 58 × 52

number of pot sold for 58 weeks = 3016

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6 0
1 year ago
Write an equation in point-slope form for the line that satisfies the given set slope of 4/5, passes through (10,-30
hodyreva [135]

Answer:

y + 30 = 4/5(x - 10)

Step-by-step explanation:

Given the slope, 4/5, and point (10, -30):

We can plug these values into the point-slope form:

y - y1 = m(x - x1)

Let (x1, y1) = (10, -30)

and m = 4/5

y - (-30) = 4/5(x - 10)

y + 30 = 4/5(x - 10)

Therefore, the point-slope form is y + 30 = 4/5(x - 10)  

7 0
3 years ago
Which pair of statements describes the end behavior of the graph of the function f(x) = x3 + 2x2 − 5x − 6?
notka56 [123]

A function assigns the values. The correct option is D.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.


The complete question is:

Which pair of statements describe the end behavior of the graph of the function f(x) = x³ + 2x² − 5x − 6?

A.) As x approaches negative infinity, f(x) approaches infinity. As x approaches infinity, f(x) approaches infinity.

B.) As x approaches negative infinity, f(x) approaches infinity. As x approaches infinity, f(x) approaches negative infinity.

C.) As x approaches negative infinity, f(x) approaches negative infinity. As x approaches infinity, f(x) approaches negative infinity.

D.) As x approaches negative infinity, f(x) approaches negative infinity. As x approaches infinity, f(x) approaches infinity.

If we draw the graph of the given function f(x) = x³ + 2x² − 5x − 6, then it can be observed that as x approaches -∞, f(x) approaches -∞. As x approaches ∞, f(x) approaches infinity.

Hence, the correct option is D.

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3 0
2 years ago
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