Question

Find the measure of the indicated line segment

Answer 1

@vocaloid i need help

Answer 2

17: for two line segments intersecting inside a circle, the line segment lengths follow this pattern (see attached)



applying this to your problem, 14(2x+2) = 12(2x+5)
solve for x

**important** you cannot stop here, because it's asking for the value of UW not just x. UW is made up of 2x + 5, plus 12, so calculate 2x + 5 + 12 using the x-value you calculated.

Answer 3

18: for a line segment inside a circle, and a tangent outside the circle, intersecting, the lengths follow this pattern (see attached)



applying this to your problem: (x-3)(x-3 + 16) = (x+3)^2
solve for x

it's asking for NM, which is equal to x + 3, so calculate x + 3 based on the x-value you solved for.

Answer 4

i dont know how to do this it is all confusing

Answer 5

for 17, do you see the pattern in the image?

when two segments intersect each other, each segment gets split into two parts. (let's call them the left and right part). left part * right part = left part * right part

now, for your problem, TV gets split into two parts (14 on the left, 2x + 2 on the right) so left part * right part = 14*(2x+2)

same logic with WU, it gets split into 2x + 5 and 12, so left part * right part = (2x+5)(12)

now we set left part * right part = left part * right part

which becomes 14*(2x+2) = (2x+5)(12)

solve for x. however, like I said, it's asking for the length of UW which is 2x + 5 + 12, so you'll need to calculate 2x + 5 + 12 based on the x-value you found.

Answer 6

so you add 2x 5 and 12 together and tht will be my answer?

Answer 7

you need to solve 14*(2x+2) = (2x+5)(12) for x first

then plug it into 2x + 5 + 12

Answer 8

ok and when i find my x value i multiply it to 2 and add it all up and then i will get my answer?

Answer 9

yes

Answer 10

ok

Answer 11

is the answer to 17. 33?

Answer 12

yeah I got something a bit different, what did you get for x?

Answer 13

8

Answer 14

is tht not correct

Answer 15

actually nvm you're correct, x = 8 and the final solution is 2(8) + 5 + 12 = 33

Answer 16

ok

Answer 17

how you do 18?

Answer 18

scroll up to the beginning

Answer 19

so you multiply (x-3) to (x-3+16) and and you add (x+3) and then you square it?

Answer 20

notice the equal sign

(x-3)(x-3 + 16) = (x+3)^2

which means you need to solve this equation for x. multiply (x-3)(x - 3 + 16) w/ the distributive property, set it equal to (x+3)^2, expand (x+3)^2, solve for x

Answer 21

so my question is do you combine like terms or wht? im confused

Answer 22

review FOIL when you get a chance

(x-3)(x-3 + 16) = (x+3)^2

(x-3)(x+13) = (x+3)^2

using FOIL

x^2 + 13x - 3x - 39 = x^2 + 3x + 3x + 9

x^2 + 10x - 39 = x^2 + 6x + 9

subtracting x^2 from both sides

10x - 39 = 6x + 9

subtracting 6x from both sides

4x - 39 = 9

adding 39 to both sides

4x = 48

dividing both sides by 4

x = 12

so NM = x + 3 = 15

Answer 23

so you substitute 12 for x+3?

Answer 24

yes

Answer 25

so the answer would be 15

Answer 26

yes