Answer:
x = 17, MN = 11
Step-by-step explanation:
Given 2 secants from an external point to a circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant.
(5)
7(7 + x) = 8(8 + 13) = 8 × 21 = 168 ( divide both sides by 7 )
7 + x = 24 ( subtract 7 from both sides )
x = 17
(6)
9(9 + 2x - 7) = 10(10 + 8)
9(2x + 2) = 10 × 18 = 180 ( divide both sides by 9 )
2x + 2 = 20 ( subtract 2 from both sides )
2x = 18 ( divide both sides by 2 )
x = 9
Then
MN = 2x - 7 = 2(9) - 7 = 18 - 7 = 11
3x + 5 > 11
3x + (5 - 5) > 11 - 5
3x > 6
3x / 3 > 6 / 3
x > 2
x - 3 < 1
x (-3 + 3) < 1 + 3
x < 4
When subtracting / adding values to both sides, the inequality does not change.
When multiplying / dividing by a positive value, the inequality also doesn't change, but when multiplying , dividing with a negative value, the inequality must be flipped.
Answer:
this is a negative association
Step-by-step explanation:
The surface area of cone B is 10 km², and Cone B is the image of cone A after dilation by a scale factor of 1/2
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Cone B is the image of cone A after dilation by a scale factor of 1/2, hence:
Surface area of cone B = 40 km² * (1/2)² = 10 km²
The surface area of cone B is 10 km², and Cone B is the image of cone A after dilation by a scale factor of 1/2
Find out more on equation at: brainly.com/question/2972832
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