Bertha plans to trim three collars on her daughters dresses. She needs 1/4 yard of lace for one collar, 1/6 yard of lace for the second collar, and 5/12 yard of lace for the third collar. Each strip below represents1 yard of lace. Which strip is shaded to represent the total amount of lace Bertha needs to trim the three collars?

30005

yes ok                                            

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

i recommend you do what your heart desires. if you're attracted to the same gender, then you're attracted to the same gender. you can't determine what your heart wants.

option (a)

step-by-step explanation:

step 1:   take 2 number whose product equal to 25..

and sum of those two number are -10

step: 2 for example here if we take 5,5 are the number,,

5*5=25

and

5+5=10

but we need -10

so if we take   -5,-5

so -5*-5=25

and -5+(-5)=-10

s0

come the equation

replace -10x by these number

like -5x -5x+25

take common

x(x-5)-5(x-5)=0

(x-5)(x-5)=0