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Fantom [35]
3 years ago
5

which of the following best describe the blue line in the image below A. The line constructed through point P that is parallel t

o line AB B. The line constructed through point P that is perpendicular to line AB C. The line constructed through point P that intersects line AB at two different points

Mathematics
1 answer:
lesya692 [45]3 years ago
8 0

Answer:

Option B.

Step-by-step explanation:

Option A. "The line constructed through point P that is parallel to line B."

     Since parallel lines never intersect each other, a line intersecting line AB at point P will not be parallel.

Therefore, Option (A) is incorrect.

Option (B). "The line constructed through point P that is perpendicular to line AB."

    Since the angle between line AB and a line constructed through point P has been given as 90°, line through point P will be perpendicular to AB.

Therefore, Option (B) is the answer.

Option C. "The line constructed through point P that intersects line AB at two different points."

    Since, two perpendicular lines intersect each other at only one point, the line constructed from point P will not intersect line AB at two different points.

Therefore, Option C is not correct.

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6.1.7 (Video Solution) An article in Human Factors (June 1989) presented data on visual accommodation (a function of eye movemen
horsena [70]

Answer:

- the sample mean is 44

- the sample standard deviation is 12.35

Step-by-step explanation:

given information:

data, x_{i} = 36.45, 67.90, 38.77, 42.18, 26.72, 50.77, 39.0, 50.23

the number of data, n = 8

the sample mean, xbar

xbar = ∑x_{i}/n

       = (36.45+67.90+38.77+42.18+26.72+50.77+39.0+50.23)/8

       = 352.08/8

       = 44

standard deviation, s

s = \sqrt{sum(x_{i} - xbar)^{2}/n-1}

  = \sqrt{(36.45-44)^{2}+(36.45-44)^{2}.........(39.00-44)^{2}+(50.23-44)^{2}/(8-1 )}

 = \sqrt{\frac{1067.12}{7} }

 = 12.35

7 0
3 years ago
What is the measure of angle 1?
svp [43]

Answer:

88°

Step-by-step explanation:

Since we have 2 parallel lines, first we use the Corresponding Angles Postulate.

Since angle 2 is corresponding to the 92° angle,

angle 2 = 92°

Now we know that angle 1 and angle 2 are supplementary.

This means:

angle 1 + angle 2 = 180°

<em>(substitute known values)</em>

angle 1 + 92 = 180

<em>(subtract 92 on both sides)</em>

<h2>angle 1 = 88°</h2><h2></h2>

Hope this helps, please say thanks if it does!

3 0
3 years ago
The number of customers waiting for gift-wrap service at a department store is an rv X with possible values 0, 1, 2, 3, 4 and co
julia-pushkina [17]

Answer:

P[X=3,Y=3] = 0.0416

Step-by-step explanation:

Solution:

- X is the RV denoting the no. of customers in line.

- Y is the sum of Customers C.

- Where no. of Customers C's to be summed is equal to the X value.

- Since both events are independent we have:

                         P[X=3,Y=3] = P[X=3]*P[Y=3/X=3]

              P[X=3].P[Y=3/X=3] = P[X=3]*P[C1+C2+C3=3/X=3]

        P[X=3]*P[C1+C2+C3=3/X=3] = P[X=3]*P[C1=1,C2=1,C3=1]        

              P[X=3]*P[C1=1,C2=1,C3=1]  = P[X=3]*(P[C=1]^3)

- Thus, we have:

                        P[X=3,Y=3] = P[X=3]*(P[C=1]^3) = 0.25*(0.55)^3

                        P[X=3,Y=3] = 0.0416

6 0
3 years ago
Which transformations take f(x)=3x+1 to g(x)=−3x-5 ?
lbvjy [14]
<span>reflection over the x-axis and a translation 4 units down Refelcting f(x) over the x axis gives -f(x)=-3x-1 Subtracting a constant from -f(x) moves the graph of -f(x) that many units down. -f(x)-4=-3x-5=g(x) This shows that g(x) is obtained by reflecting f(x) over the x-axis and then translating 4 units down.</span>
8 0
3 years ago
Audrey has $111 to spend on a tennis racket and lessons. The racket costs $55 and the lessons cost $14 per hour. Define a variab
Mnenie [13.5K]

Answer:

Audrey can afford 4 hours of lesson.

Step-by-step explanation:

Given that:

Amount Audrey has to spend = $111

Cost of racket = $55

Cost per lesson = $14

Let,

y be the total cost

x be the number of hours

According to given statement;

y = 14x + 55

111 = 14x + 55

111 - 55 = 14x

14x = 56

Dividing both sides by 14

\frac{14x}{14}=\frac{56}{14}\\x=4

Hence,

Audrey can afford 4 hours of lesson.

7 0
3 years ago
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