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2 years ago

Angles related to a circle. Solve for x.

Mathematics

1 answer:

natka813 [3]2 years ago

7 0

The value of x from the given circle is 12

<h3>Circle theorem</h3>

Angle at the vertex of the circle is half the angle at its intercepted arc.

From the given circle;

The measure of <DEF = 80/2 = 4x -8

Equate both angles

4x - 8 = 80/2

Add 8 to both sides

4x - 8 + 8 = 40 + 8

4x = 48

x =12

Hence the value of x from the given circle is 12

Learn more on circle theorem here: brainly.com/question/26594685

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1. Parallelogram WXYZ is shown on the coordinate plane ect... Added photo plz help!!

aliya0001 [1]

Answer:

Step-by-step explanation:

12.718 units

Step-by-step explanation:

The coordinates of the vertices of parallelogram WXYZ are given to be W(0,-1), X(4,0), Y(3,-2) and Z(-1,-3).

So, the perimeter of the parallelogram will be 2(WX + XY) {Since opposite sides of parallelogram are same in length}

Now, length of WX = units, To find the units click this link :

https://tex.z-dn.net/?f=%5Csqrt%7B(-1)%5E%7B2%7D%20%2B%204%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B17%7D%20%3D%204.123

And, length of XY = units, To find the units click this link :

https://tex.z-dn.net/?f=%5Csqrt%7B(4-3)%5E%7B2%7D%20%2B%20(0-(-2))%5E%7B2%7D%7D%20%3D%20%5Csqrt%7B5%7D%20%3D%202.236

Therefore, the perimeter of the parallelogram WXYZ = 2(4.123 + 2.236) = 12.718 units. (Answer)

5 0

2 years ago

Solve the following quadratic equation for all values of x in simplest form. 20+ 2x= 28

n200080 [17]

Answer:

x = 4

Step-by-step explanation:

To solve, we need to isolate x.

Start by moving the 20 to the other side by subtracting it from both sides.

2x = 8

Since x is being multiplied by 2, we need to divide both sides by 2 to move it to the other side.

x = 4

6 0

3 years ago

12, 17, 22, ... Find the 36th term.

pychu [463]

Answer:

187

Step-by-step explanation:

a=12,d=17-12=5

nth term =a+(n-1)d

36th term=12+(36-1)5

=12+(35×5)

12+175

36th term=187

8 0

2 years ago

Find the value of a square + b square when a+b = 8 and ab = 10

Ne4ueva [31]

As we know,

$\boxed{ \boxed{(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab}}$

now, let's plug the given values to find a² + b²

$(8) {}^{2} = {a}^{2} + {b}^{2} + (2 \times 10)$

$64 = {a}^{2} + {b}^{2} + 20$

${a}^{2} + {b}^{2} = 64 - 20$

$a {}^{2} + b {}^{2} = 44$

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3 years ago

Evaluate the integral:

tatyana61 [14]

Answer: girllll ion know

Step-by-step explanation:

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4 years ago