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aev [14]
3 years ago
5

If the measure of arc AD = (6x -80)° and <G = (x + 2)°, what is the measure of <G?​

Mathematics
2 answers:
ch4aika [34]3 years ago
8 0

Answer:

The measure of <G =  23°

Step-by-step explanation:

From the figure we can write,

The measure of <G is half the  the measure of arc AD

<u>To find the value of x</u>

We have  AD = (6x - 80)° and <G = (x + 2)°

6x - 80 = 2(x + 2)

6x - 80 = 2x + 4

6x - 2x = 4 + 80

4x = 84

x = 84/4 = 21

<u>To find the measure of <g</u>

m<G = x + 2

 = 21 + 2 = 23°

Therefore the measure of <G =  23°

Readme [11.4K]3 years ago
3 0

Answer: \angle G=23\°

Step-by-step explanation:

Remember that an inscribed angle is defined as an angle formed by two chords and whose vertex lies on the circle.

By definition, the measure of an inscribed angle is:

Inscribed\ Angle=\frac{Intercepted\ Arc}{2}

You know that:

Intercepted\ Arc=AD = (6x -80)\\\\Inscribed\ Angle=\angle G=(x + 2)

Then, you need to substitute values and solve for "x":

(x+2)=\frac{(6x -80)}{2}\\\\2(x+2)=6x-80\\\\2x+4=6x-80\\\\4+80=6x-2x\\\\84=4x\\\\x=\frac{84}{4}\\\\x=21

Substituting the value of "x" into \angle G=(x + 2)\° you get:

 \angle G=(21 + 2)\°=23\°

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zysi [14]

Completing the square gives

\dfrac14x^2+bx+10=\dfrac14(x^2+4bx+40)=\dfrac14(x^2+4bx+4b^2+40-4b^2)

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At the point on the graph along the axis of symmetry, the squared term vanishes, so that when x=6, we have x+2b=0. So

6+2b=0\implies 2b=-6\implies\boxed{b=-3}

5 0
3 years ago
As notas de dois alunos X e Y estão representadas no quadro abaixo. Por meio da variância, qual deles apresentou ser o mais regu
Reil [10]

Answer:

Aluno X

Step-by-step explanation:

A nota média para os alunos X e Y são, respectivamente:

X_m=\frac{5+3+5+7}{4}=5 \\Y_m=\frac{4+9+4+3}{4}=5

A variância é definida pela seguinte expressão:

V=\frac{\sum(X_i-X_m)^2}{n-1}

Onde n é o numero de termos, neste caso, n = 4.

As variâncias para cada aluno são:

V_x=\frac{(5-5)^2+(3-5)^2+(5-5)^2+(7-5)^2}{4-1} \\V_x= 2.7\\V_y=\frac{(4-5)^2+(9-5)^2+(4-5)^2+(3-5)^2}{4-1} \\V_y= 7.3

O aluno X apresentou uma variância menor do que o aluno Y em suas notas e, portanto, apresentou ser o mais regular.

6 0
3 years ago
The length of each side of an equilateral triangle is increased by 5 inches, so the perimeter is now 60 inches. Write and solve
AfilCa [17]

Answer:

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Step-by-step explanation:

Let Original length of side of equilateral triangle = x

If it is increased by 5 inches, the length will become = x+5

Since in equilateral triangle all the ides have same length so,

New Length of side 1 = x+5

New of side 2 = x+5

New Length of side 3 = x+5

Perimeter of triangle = 60 inches

We need to find the value of x

The formula used is: Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3

Putting values in formula and finding x

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So, the original length of each side of the equilateral triangle = x =15 inches

6 0
3 years ago
- (t + 3) - 10 = -6.5
USPshnik [31]

Answer:  =  − 6 . 5

Step-by-step explanation:

7 0
3 years ago
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OLga [1]

I think b because i used a calculator

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