In triangle abc, ac|| xy, ax=4 xb=10.5,cy=6

15.75

Step-by-step explanation:

Triangle ABC is similar to triangle XBY because all their angles are equal. You can see this using the parallel lines. Since they are similar, the ratios of their corresponding sides are equal.

10.5/10.5+4=x/6+x

10.5/14.5=x/6+x

21/29=x/6+x

Cross-multiplying yields:

21(6+x)=29x

126+21x=29x

8x=126

x=126/8

x=15.75

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.