Mr. Toler has a piece of wood that is 8 1/4 feet in length he wants to cut it into pieces that are 3/4 foot in length. How many three over4 foot pieces of wood can Mr. Tolle make? Plz give a step-by-step explanation I have been stuck on this question for a while

11 pieces, each 3/4 foot in length.

Step-by-step explanation:

The best approach is to convert everything into fractions and then divide the total length by the segment length.

Total = 8 1/4 feet

Segment = (3/4) foot

==

(units are all feet)

Total:   8 1/4 = 32/4 + 1/4 = 33/4

Segment:   3/4

Now both measures have the same denominator.

Divide:

(33/4)/(3/4)

(33/4)*(4/3)

11 pieces, each 3/4 foot in length.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.