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alina1380 [7]
3 years ago
14

∠ACE is formed by two secants intersecting outside of a circle. If minor arc BD = 25°, minor arc AB = 115°, and minor arc DE = 1

15°, what is the measure of ∠ACE?

Mathematics
2 answers:
Jlenok [28]3 years ago
8 0
Answer is 40 degrees 
VikaD [51]3 years ago
6 0

Answer:

m∠ACE=40\°

Step-by-step explanation:

we know that

The measurement of<u> the external angle</u> is the semi-difference of the arcs which comprises

In this problem

m∠ACE represent a external angle

so

m∠ACE=\frac{1}{2}(minor\ arc\ AE- minor\ arc\ BD)

Find the minor arc AE

minor\ arc\ AE=360\°-minor\ arc\ AB-minor\ arc\ BD-minor\ arc\ ED

substitute the values

minor\ arc\ AE=360\°-115\°-25\°-115\°=105\°

m∠ACE=\frac{1}{2}(105\°-25\°)

m∠ACE=40\°

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Answer:

3(n+7)-6=2n+10+n

Step-by-step explanation:

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2 years ago
Which of the following represents a valid first step to solving this system of equations using the substitution method?
Phoenix [80]

Answer:

2(2y - 1) - y = 7

Step-by-step explanation:

I guess the 2 equations are

2x - y = 7

x = 2y - 1

substitution message that you use one equation to express one variable by the other, and then you use that in the other equation to get one equation for one variable. then you solve for that, and use that result in the first equation to since for the second variable.

the equations are already defined that way, that the second equation directly defines x as an excision of y.

so, this needs to be used then in the first equation.

and that makes

2(2y - 1) - y = 7

the correct first step.

7 0
1 year ago
Twelve cans of peaches are placed into each box. Write a function rule for the number of boxes needed for c cans. How many boxes
Mars2501 [29]

C = # of cans

b = # of boxes                          

C  |  B    

12 |  1

24 | 2

36 | 3


12b = C

12b/12 = 1440/12

b = 120 boxes

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6 0
2 years ago
Roulette is a casino game that involves spinning a ball on a wheel that is marked with numbered squares that are red, black, or
EleoNora [17]

Answer:

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Step-by-step explanation:

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2 years ago
I need help please this is confusing
kap26 [50]

Step-by-step explanation:

slope formula when it's perpendicular : m1 × m = -1

Now Differentiate the quadratic function given.

d/dx ( x^2 - x + 1 ) at an x value of -1 from the point "(-1 , 3 )"

= 2x - 1 .... plug in the x value

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Use this equation...

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y1 = value found by subbing -1 into the original function

x1 = the x value often given.

y - 3 = 1/3 (x + 1)

= 1/3x + 1/3 + 3

y = 1/3x + 10/3.

not sure about this one - it probably intersects at the x & y intercepts of the equation of the normal line.

y = 0 + 10/3 = 10/3

1/3x = 0 - 10/3

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so the point .... (-10 , 10/3)

7 0
2 years ago
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