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3 years ago

What is the value of A?

Mathematics

1 answer:

Artemon [7]3 years ago

6 0

Answer:

101

Step-by-step explanation:

The theorem to use this is the intercepted arc theorem, which tells us that if we take 2 points on the circumference of a circle and create an angle in the opposite side of the circumference, that angle is HALF that of the ARC intercepted.

If we look at 100 degree angle, we see the ARC intercepted is 99 degree and a degrees. According to theorem, we can say:

99 + a = 2(100)

99 + a = 200

a = 200 - 99

a = 101

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The solution for a system of two linear equations is (0, 0). Which equation below could be one of the equations in the system? A

earnstyle [38]

Answer:

y = -3x

Step-by-step explanation:

For the equation to be a part of a system, the point (0,0) must be a part of the line. Since y = -3x is proportional meaning b = 0, its y-intercept is (0,0). This means it must cross through and include (0,0). This is a part of the system.

4 0

3 years ago

Solve the system: 10x-9y=8 21y+15x=0.5

artcher [175]

Answer:

x = 1/2 y = -1/3

Step-by-step explanation:

Split it into 2 equations:

10x-9y=8

and

21y+15x=0.5

10x - 9y = 8

Step 1: Divide both sides by 10:

x = (8+9y)/(10)

Substitute x = (8+9y)/(10) into 21y+15x=0.5 :

21y + (3(8+9))/(2) = 0.5

Solve for y

y= -1/3

Substitute y= -1/3 into x = (8+9y)/(10)

x = 1/2

3 0

2 years ago

What is the slope of the line that passes through the points (-9, -8)((−15,−16)? Write your answer in simplest form.

alexandr402 [8]

Answer:

Therefore the slope of the line that passes through the points (-9, -8),(−15,−16) is

$Slope=\dfrac{4}{3}$

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( -9 ,-8)

point B( x₂ , y₂ )≡ (-15 ,-16)

To Find:

Slope = ?

Solution:

Slope of Line Segment AB is given as

$Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Substituting the values we get

$Slope(AB)=\dfrac{-16-(-8)}{-15-(-9)}\\\\Slope(AB)=\dfrac{-16+8}{-15+9}\\\\Slope(AB)=\dfrac{-8}{-6}=\dfrac{4}{3}$

Therefore the slope of the line that passes through the points (-9, -8),(−15,−16) is

$Slope(AB)=\dfrac{4}{3}$

4 0

3 years ago

Find the volume of a cone with a base radius of 6 yd and a height of 12 yd

anygoal [31]

Answer:

452.38934 yd^3

Step-by-step explanation:

5 0

2 years ago

Find the value of x in the diagram below.

dsp73

Answer:

x = 31

Step-by-step explanation:

The 2 sides are congruent, meaning the 2 angles are equal so:

47 = x + 16

subtract 16 from both sides

31 = x

5 0

2 years ago