Answer:
? = 9.2
Step-by-step explanation:
The angle between a tangent and radius at the point of contact is 90°
Then the triangle shown is right with legs ? , 6.9 and hypotenuse = (6.9 + 4.2) = 11.5
Using Pythagoras' identity in the right triangle
?² + 6.9² = 11.5²
?² + 47.61 = 132.25 ( subtract 47.61 from both sides )
?² = 84.64 ( take the square root of both sides )
? =
= 9.2
We can use the Pythagorean <span>theorem ( </span>

) , where a and b are the length of each of the two legs, and c is the length of the hypotenuse


the length is 5cm
Answer:
Step-by-step explanation:
We want a line parallel to 3x − 4y = 7. Any such line will have an equation of the same form but a different constant.
If the new line is to pass through the point (-4, -2), replace x with -4 and y with -2. We obtain:
3(-4) − 4(-2) = -12 + 8 = -4. Thus, the desired new equation is 3x − 4y = -4.
This could also be written as 3x − 4y + 4 = 0. We could also solve this for y, obtaining:
3x + 4 = 4y, or y = (3/4)x + 1.
Answer:
no
Step-by-step explanation:
The second package costs $2 for each pair of socks. If the first package cost that much, it would be 8×$2 = $16 for 8 pairs of socks. That is not the same as $12 for 8 pairs.
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Another way to look at it is the first package costs twice as much as the second, but has more than twice as many pairs of socks. That means the rates are not equivalent.