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3 years ago

Find the value of a.B.find the value of the marked angles

Mathematics

1 answer:

Bond [772]3 years ago

8 0

Answer:

a. 18 b. 119°, 118°

Step-by-step explanation:

a. Given angles are vertical, so they are equal.

6a+11 = 2a+83

6a-2a = 83-11

4a = 72

a = 72/4

a = 18

b. Substituting the value of a in the given angles,

6a+11 = 6*18+11 = 108+11 = 119°

2a+83 = 2*18+83 = 36+83 = 118°

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IgorLugansk [536]

Answer:

We are 95% confident that the time to completion for the same color method is between 4.617 less to 9.383 less than the different color method.

Step-by-step explanation:

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.

The 95% confidence for the difference in the completion time of treatment is and d is,

CI = (-4.617, -9.383)

The parameter of the study is defined as:

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Consider the 95% confidence interval, (-4.617, -9.383). The confidence interval consists of all negative values.

This implies that the difference between the completion time of treatment s and d is less than 0, i.e. the completion time of treatment s is less than that for treatment d.

Thus, the complete statement is:

"We are 95% confident that the time to completion for the same color method is between 4.617 less to 9.383 less than the different color method."

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3 years ago

What is the equation of the circle in general form

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Answer:

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Step-by-step explanation:

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2 years ago

Divide 800ml into ratio 3:7

Black_prince [1.1K]

Simply take the numerator (3) and denominator (7) and add them together.

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2 years ago

Determine the point of intersection of right bisectors in a triangle ∆ with vertices A (-3, 5), B (1, 1) and (−7, −3). Find the

iris [78.8K]

Answer:

Point of intersection (-11/3 , 1/3)

All distances from the vertices are $\frac{10\sqrt{2} }{3}$

Step-by-step explanation:

The vertices of the triangle is A(-3,5) , B (1,1) and C (-7,-3)

We need to find the perpendicular bisector of the triangle first

let's take one side connecting A and B

mid point of A and B = (-1,3)

Slope of the line joining A and B = -1

slope of perpendicular to line joining A and B = 1

equation of line passing through (-1,3) with slope 1

y - 3 = 1(x-(-1))

y -3 = x+1

x-y = -4 ............(1)

similarly

mid point joining B and C = (-3,-1)

slope perpendicular to line joining B and C = -2

Equation of perpendicular bisector of line joining B and C =

y +1 = -2(x +3 )

y+1 = -2x -6

2x+y = -7 ..........(2)

On solving 1 and 2

x= -11/3 , y= 1/3

Distances

From A = $\frac{10\sqrt{2} }{3}$

From B = $\frac{10\sqrt{2} }{3}$

From C = $\frac{10\sqrt{2} }{3}$

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2 years ago