Question

MEDAL AND FAN



1. The slope of line m is -1/12 . The slope of a line perpendicular to line m is __________

2. Find the measure of AB.

Answer 1

thats for number 2

Answer 2

hint:
If two lines are perpendicular, the product of the two slopes equals -1.
For example,
L1: y = 2x +3
L2: y = -(1/2)x -2
Then L1 is perpendicular to L2 because the product of slopes 2 and -(1/2)
= (2)*(-1/2) = -1

Answer 3

my choices are
Option A: –12
Option B: -1/12
Option C: 1/12
Option D: 12

Answer 4

Hints for question 2,
triangles XMN and XAB are similar, and the ratio of similitude is 2, i.e. all dimensions of XAB are twice the corresponding dimensions of XMN.
Similarly, triangle XMN and XZY are similar, with ratio of similitude equal to 3.

Answer 5

so is it a?

Answer 6

It's not a because you forgot to switch the sign.

Answer 7

so its d then?

Answer 8

Yes

Answer 9

thank you! and for number 2? I still need help with that one

Answer 10

is it 30?

Answer 11

Do you have a given theorem or formula? I don't remember it.

Answer 12

umm idk let me ask @mathmate

Answer 13

Because they look like trapezoids. \[\frac{ 5x+45 }{ 2 }=8x+8\]

Answer 14

Solve for x, can you do it? Once you get x, you can get the lengths of MN and AB.

Answer 15

Yes, use @dtan5457's equation, or
since by similar triangles, AB=2*MN, so
2(5x)=8x+8
the value of x comes to the same thing.
For your information, your suggested answer for AB is correct.