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Alexeev081 [22]
2 years ago
5

JL is a diameter of circle K. if tangents to circle K are construvted through points L and J, what relationship would exist betw

een the two tangents? explian

Mathematics
1 answer:
Allisa [31]2 years ago
7 0
Check the picture below.

notice, the left-hand-side of the picture is the tangents segment theorem, both tangents are the same length and the point of tangency, in red, is always a right-angle, however note that they're touching a radius segment, not a diameter one, and the radii lines are slanted some.

notice the right-hand-side of the picture, the points of tangency at J and L are right-angles, and the two tangents at those points, will simply be parallel, and never touch each other.

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How many gallons of a 20% salt solution must be mixed with 4 gallons of a 30% salt solution to make a 25% salt solution?
densk [106]
Since 25% is smack in the middle between 20% and 30%, it will take equal volumes of ech to make a 25% solution.

Since 4 gallons of 30% solution was used, so 4 gallons of 20% solution will be needed.
6 0
1 year ago
1.A sign-making store made a banner from a photograph. The photograph was 8 x 10 inches, and the banner was 12 x 15 feet. What s
jok3333 [9.3K]

1. 12 feet = 144 inches

15 feet = 180 inches

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180 inches / 10 inches = 18

The scale factor was 18.

2. Volume = Length x Width X height:

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6 0
2 years ago
contractor wishes to build 9 houses, each different in design. In how many ways can he place these houses on a street if 6 lots
Tju [1.3M]

The houses can be placed in 362,880 ways.

<u>Step-by-step explanation:</u>

The 9 houses are each in different design.

The each lot can place any of the 9 houses.

  • The 1st lot can place anyone house of all the 9 houses.
  • The 2nd lot can place one of remaining 8 houses.
  • The 3rd lot can place one of remaining 7 houses.

Similarly, the process gets repeated until the last house is placed on a lot.

<u>From the above steps, it can be determined that :</u>

The number of ways to place the 9 houses in 9 lots = 9!

⇒ 9×8×7×6×5×4×3×2×1

⇒ 362880 ways.

Therefore, the houses can be placed in 362880 ways.

5 0
2 years ago
Suppose a marketing company computed a 94% confidence interval for the true proportion of customers who click on ads on their sm
Ksivusya [100]

Answer:

d. There is a 98% chance that the true proportion of customers who click on ads on their smartphones is between 0.56 and 0.62.

Step-by-step explanation:

Confidence interval:

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Interpretation: We are x% sure(or there is a x% probability/chance) that the population mean is between a and b.

In this question:

I suppose(due to the options) there was a small typing mistake, and we have a 98% confidence interval between 0.56 and 0.62.

Interpreation: We are 98% sure, or there is a 98% chance, that the true population proportion of customers who click on ads on their smartphones is between 0.56 and 0.62. Option d.

3 0
2 years ago
VWhich is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?
Luba_88 [7]
This is what I got for the factors: (2x-7) and (3x^3-2x+5). 
6 0
1 year ago
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