In the diagram shown, ∠1=∠4 and∠2=∠3 The sum of the measures of the four angles is 140 The measure of ∠3 is 8 less than the measure of ∠4 What is the combined measure of angles 2, 3, and 4? A. 101° B. 107° C. 109° D. 117°

10cm

step-by-step explanation:

ik

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.

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

-9

step-by-step explanation: