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NeTakaya
3 years ago
10

The circumference of the circle with center O is divided into 12 equal arcs, marked the letters A through L as seen below. What

is the number of degrees in the sum of the angles x and y?
Mathematics
1 answer:
qwelly [4]3 years ago
5 0
A. 75  B. 80  C. 90  D. 120  E. 150
For this problem, it is useful to know that the measure of an inscribed angle is half the measure of its corresponding central angle. Since each unit arc is <span> of the circle's circumference, each unit central angle measures</span><span>.</span>
Hope that makes sense and helps. (:
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Match each quadratic equation with its solution set.
Marianna [84]

Answer:

( 8 , - 8)  => x² - 55 = 9

( 4 , - 4)  =>  2x² - 32 = 0

(5 , - 5) => 4x² - 100 = 0

(11 , - 11) => x² - 140 = -19

( 3, - 3) =>  2x² - 18 = 0

Step-by-step explanation:

1)

2x^2  - 32 = 0\\\\2(x^2 - 16 ) = 0 \\\\x^2 - 16 = 0 \\\\x^2 = 16 \\\\x = \sqrt {16 }  = \pm 4

x = ( 4 , - 4)

2)

4x^2 - 100 = 0 \\\\4(x^2 - 25 ) = 0\\\\x^2 - 25 = 0 \\\\x^2 = 25 \\\\x= \sqrt{25} = \pm 5

x = ( 5 , - 5 )

3)

x^2 - 55 = 9 \\\\x^2 = 9 +55\\\\x^2 = 64\\\\x = \sqrt{64} = \pm 8

x= ( 8 , - 8)

4)

x^2 - 140 = - 19\\\\x^2 = -19 + 140 \\\\x^2 = 121 \\\\x= \sqrt{121} = \pm 11

x = ( 11  , -11)

5)

2x^2 - 18 = 0\\\\2(x^2 - 9) = 0\\\\x^2- 9 = 0 \\\\x^2 = 9 \\\\x = \sqrt9 = \pm 3

x = ( 3 , - 3)

8 0
3 years ago
Read 2 more answers
Which equation shows how to determine the volume of the dollhouse?
777dan777 [17]

Answer:

first choice

Step-by-step explanation:

The volume of a rectangular prism is L*H*B.

So the volume of the rectangular prism pictured here is 24*10*8

The volume of a triangle prism is 1/2 *H*L*B.

So the volume of the triangle prism pictured here is 1/2 *6*24*8

The volume of the whole figure is the sum of the volume of the rectangular prism and volume of the triangular prism which is in this case:

24*10*8 + 1/2 *6*24*8.

Answer is the first choice.

(It wouldn't be third because 10 has nothing to with the triangular prism part)

7 0
3 years ago
Which expression is equivalent to 3 (6m) + m
Elina [12.6K]

Answer:

Step-by-step explanation:

this expression is equal to

18m+m=19 m

7 0
3 years ago
Write the equation of the line in fully simplified slope-intercept form
olya-2409 [2.1K]
Y=3/5x+5

hope this helps!!
7 0
3 years ago
If each 4 in. on the scale drawing below equals 5 feet, what is the actual area of the shape in square units?
tino4ka555 [31]

Answer:

200

i just know its 200 no explanation

6 0
2 years ago
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