An alligator is 9 inches long at birth and grows 10 inches per year. Write an equation that represents the length y (in feet) of an alligator that is x years old. How long will the alligator be after 4 years?

y=10x+9

after 4 years the gator will be 49 in long

Step-by-step explanation:

y = 5/6x + 3/4.

At 4 years old,  the length y = 49/12 feet = 4 feet 1 inch.

Step-by-step explanation:

9 inches = 3/4 feet.

10 inches =  5/6 feet

So our equations is

y = 5/6x + 3/4.

When it is 4 years old:

y  = 5/6(4) + 3/4

= 20/6 + 3/4

= 49/12 feet

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.