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Rus_ich [418]
3 years ago
14

Vertical Angles

Mathematics
1 answer:
Mice21 [21]3 years ago
4 0

Answer:

1. m<2 = 115 °

2. m<5 = 83 °

3. m<8 = 45 °

4. m<4 = 137 °

Step-by-step explanation:

1. Determination of m<2

m<1 = 115 °

m<2 =?

m<2 = m<1 (vertically opposite angles are equal)

m<2 = m<1

m<2 = 115 °

2. Determination of m<5

m<6 = 83 °

m<5 =?

m<5 = m<6 (vertically opposite angles are equal)

m<5 = m<6

m<5 = 83 °

3. Determination of m<8

m<9 = 45 °

m<8 =?

m<8 = m<9 (vertically opposite angles are equal)

m<8 = m<9

m<8 = 45 °

4. Determination of m<4

m<3 = 137 °

m<4 =?

m<4 = m<3 (vertically opposite angles are equal)

m<4 = m<3

m<4 = 137 °

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viktelen [127]

Answer:

3x^{2} -3x+8-\frac{9}{x+1}

Step-by-step explanation:

Since we're dividing the polynomial by (x+1), we'll be using -1 to start the division.

Before setting the division up, let's list the coefficients of x from descending powers and the constant.

The coefficient of x^{3} is 3

Since we don't see an x^{2}, the coefficient will be 0.

The coefficient of x is 5.

Lastly, the constant, which is the term without the x is -1.

Refer to the attached picture before continuing.

After referring to the picture, we now have the coefficients for the quotient.

The coefficient of x^{2} is 3.

The coefficient of x is -3.

The constant is 8.

Lastly, since the last number is not zero, it's the remainder just like regular division. This can be tricky to remember, but -9 is not the actual remainder.

The remainder is actually \frac{-9}{x+1}.

Now putting all the pieces together, we get:

3x^{2} -3x+8-\frac{9}{x+1}

3 0
2 years ago
Which two ratios form a proportion?
s2008m [1.1K]

Answer:

02:3 and 12:18

Step-by-step explanation:

A proportion is formed when the larger ratio can be simplified to equal the smaller ratio:

#1

02:3 and 4:12

Reducing the larger ratio: 4:12=1:3

Hence, not a proportion.

#2

02:3 and 6:12

Reducing the larger ratio: 6:12=1:2

Hence, not a proportion.

#3

02:3 and 12:18

Reducing the larger ratio: 12:18=2:3

Hence, they form a proportion.

#4

02:3 and 12:18

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Hence, not a proportion.

4 0
3 years ago
Four expressions are shown bellow
Irina18 [472]

Answer:

A

2(4x + 2)

and

D

8x + 4

Step-by-step explanation:

Because if you simplify the equation theb you get 8x+4 therefore D is equivalent to it. A is also equal to D which make it equivalent to the equation as well.

3 0
3 years ago
Read 2 more answers
Pls solve with step by step solution, thx .
Gnoma [55]

Answer:

Step-by-step explanation:

(-4,0) (0,3)

(3-0)/(0+4)= 3/4

y - 0 = 3/4(x + 4)

y = 3/4x + 3

4 0
3 years ago
A circle has a diameter of 25cm. How far from the centre of this circle is a chord 16cm long? Draw a picture before you start.
yan [13]

Answer:

The cord is 9.6 cm away from the centre of the circle.

Step-by-step explanation:

<u>See The Image First</u>

The image below shows a picture of everything that’s given, labeled, and drawn in the circle.

<u>Description of the Picture:</u>

You can use the Pythagorean to find the what the distance (the length <em>b</em>) the cord is from the center. You can use the radius as the hypotenuse. The radius is half of the diameter, and the diameter is 25. So the radius is 12.5, which means that 12.5 is the hypotenuse of the triangle (also known as side <em>c</em>). The whole length of the cord is 16cm long, and we can use half of the cord, which is 8cm, for the triangle. So we know two sides already: the hypotenuse (the radius) and the length <em>a</em> of the triangle (half of the length of the cord).

<u>To Solve (variables </u><em><u>a</u></em><u>, </u><em><u>b</u></em><u>, and</u><em><u> c</u></em><u>, are in italics so you don’t get confused):</u>

⇒ Use the formula of the Pythagorean Theorem (a^{2}+b^{2}=c^{2}), where <em>b </em>is the length of the distance from the cord to the centre of the circle (what we need to find out), <em>a </em>is the length of the side of the triangle (half of the cord size – 8cm), and <em>c </em>is the hypotenuse (the radius – 12.5cm). So plug the given values of <em>b</em> and <em>c</em> into the formula:

a^{2}+8^{2}=12.5^{2}

⇒ Solve for <em>a </em>by simplify:

a^{2}+64=156.25

⇒ Subtract 64 from both sides:

a^{2}=92.25

⇒ Find the square root of both sides to get<em> a</em> by itself:

\sqrt{a^{2}}=\sqrt{92.25}

⇒ Simplify to get:

a=\sqrt{92.25}  which convert’s to a=9.60468635...  round the answer to the nearest tenth is a=9.6

<u />

<u>Answer:</u> The cord is 9.6 cm away from the centre of the circle.

I hope you understand and that this helps with your question! :)

8 0
2 years ago
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