Question 12 of 25 Identify an equation that models the situation and find its solution. A tomato plant was 6 inches tall when it was planted in June. When the first tomatoes were ripe, the plant was 44 inches tall. How many inches did the plant grow? A. z – 6 = 44 z = 50 in. B. 6 + z = 44 z = 39 in. C. 6 + z = 44 z = 38 in. D. z – 6 = 44 z = 49 in. Previous Next 12 / 25 11 of 25 Answered View Summary

C.

Step-by-step explanation:

The plant has initial length of

Let the height it grew after the  be

So total height it grows would be

The total height of the plant is

So we get

The equation that models the situation is

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.