10. aghi is an isosceles triangle with gihi. if gh is three more than x, hi is 17 less than four
times x, and gi is 45 less than six times x, find x and the measure of each side.

x = 14  , G H = 17 units , HI = 39 units , GI  = 39 units

Step-by-step explanation:

Here, the given triangle GHI is an isosceles triangle with GI = HI .

G H   =  3 more than x  = 3 + x

HI =   17 less than four   times x  =   4 x - 17

GI  =  45 less than six times x  = 6 x  - 45

Now, given HI = GI

⇒ 4 x - 17 = 6 x  - 45

or, -1 7 + 45  = 6 x - 4 x

or, 2 x  = 28

or, x  = 28/2  = 14

⇒ x = 14

Hence the measure of G H = 3  +  x = 3 + 14 = 17 units

HI = 4 x - 17 = 4(14) - 17 = 39 units

GI = 6 x -45 = 6(14) - 45 = 39 units

(x+7)÷5

Step-by-step explanation:

since the number is unknown, it becomes X. Because we first add 7 then divide by 5, the expression will be a bracketed (X+7), followed by the division by 5. This makes sense because of the BODMAS rule to which, in coherence with the BODMAS rule, we first solve the expression in the brackets then move on outside them.