Solve the following problems. i really need 80 points! a. 2 ft. 5 in. + 9 in. 3 ft. 2 in. b. 4 yd. 8 in + 6 yd. 6 in. c. 29 yd. 2 ft. 11 in. + 55 yd. 1 ft. 10 in. + 13 yd. 1 ft. 3 in. d. 4,839 sq. yd. 8 sq. ft. 139 sq. in. + 7 sq. ft. 124 sq. in.

a   10 yd   2ft  7 in

b 10 yd  1 ft  2 in

c  99 yd

d.  4840 sq  yd  7 sq ft  119 sq in  

Step-by-step explanation:

a.      2 ft. 5 in. +

9 yd. 3 ft. 2 in.

9 yd   5ft   7 in

but 3 ft = 1yd

9 yd   5ft   7 in

+1yd   - 3ft

10 yd   2ft  7 in

b. 4 yd. 8 in

+ 6 yd. 6 in.

10 yd   14 in

but 12 in = 1ft

10 yd       14 in

     + 1ft   - 12 in

10 yd  1 ft  2 in

c. 29 yd. 2 ft. 11 in.

  55 yd. 1 ft. 10 in.

+ 13 yd. 1 ft. 3 in.  

97 yd   4 ft   24 in

12 in = 1ft

24 in = 2ft

97 yd   4 ft   24 in

           +2ft    - 24 in

97 yd   6ft

3 ft = 1yd

6f = 2yd

97 yd   6ft

+2yd   - 6ft

99 yd

d. 4,839 sq. yd. 8 sq. ft. 139 sq. in.

                      + 7 sq. ft. 124 sq. in.

  4839  sq yd  15 sq ft   263 sq in

12*12 = 144 sq in = 1 sq ft

 4839  sq yd  15 sq ft   263 sq in

                       + 1 sq ft  - 144 sq in

4839  sq yd  16 sq ft  119 sq in

3ft * 3 ft = 9 sq ft = 1 sq yd

4839  sq yd  16 sq ft  119 sq in

      +1 sq yd  - 9 sq ft

4840 sq  yd  7 sq ft  119 sq in              

We need to solve given additions of measurements.

We use following conversion to simplify the answer.

1 yard = 3 foot

1 foot = 12 inches

1 square yard = 9 square foot

1 square foot = 144 square inches

Now,

1). 2 ft. 5 in. + 9 yd. 3 ft. 2 in.

           2 ft. 5 in.

+  9 yd. 3 ft. 2 in.  

= 9 yd.  5 ft. 7 in.

Using Conversion scale, 5 ft = 1 yd 2 ft

9 yd 5 ft 7 in = 10 yd   2ft  7 in

2).  4 yd. 8 in + 6 yd. 6 in.

  4 yd. 8 in

+ 6 yd. 6 in.  

= 10 yd. 14 in.

Using Conversion scale, 14 in = 1 ft 2 in

10 yd 14 in  = 10 yd 1 ft 2 in

3). 29 yd. 2 ft. 11 in. + 55 yd. 1 ft. 10 in. + 13 yd. 1 ft. 3 in.

  29 yd. 2 ft. 11 in.

+ 55 yd. 1 ft. 10 in.

+ 13 yd. 1 ft.   3 in.

= 97 yd. 4 ft.  24 in.

Using Conversion scale, 24 in = 2 ft  

97 yd 4 ft  24 in = 97 yd 6 ft

Again  Using Conversion scale, 6 ft = 2 yd

97 yd 6 ft = 99 yd

4). 4,839 sq. yd. 8 sq. ft. 139 sq. in. + 7 sq. ft. 124 sq. in.

  4,839 sq. yd.     8 sq. ft.    139 sq. in.

+                             7 sq. ft.   124 sq. in.

=  4839  sq yd.     15 sq ft.    263 sq in.

Using Conversion Scale, 263 sq in = 1 sq ft 119 sq in

4839  sq yd  15 sq ft   263 sq in = 4839 sq yd 16 sq ft 119 sq in

Again  Using Conversion scale, 16 sq ft =  1 sq yd 7 sq ft

4839 sq yd 16 sq ft 119 sq in = 4840 sq yd 7 sq ft 119 sq in

Given that ABC is a triangle and is reflected over the y - axis, reflected over the x - axis and rotated 180°

We need to determine the coordinates of the point A'

Reflection over the y - axis:

The coordinates of the point A is (-2,1)

The transformation rule to reflect across the y - axis is

Substituting the point (-2,1) in the rule, we get;

Thus, the coordinates of the point A after reflection over the y - axis is (2,1)

Reflection over the x - axis:

The transformation rule to reflect across the x - axis is

Substituting the point (2,1) in the rule, we get;

Thus, the coordinates of the point A after reflection over the x - axis is (2,-1)

Rotation about 180°:

The transformation rule to rotate about 180° is

Substituting the point (2,-1) in the rule, we get;

Thus, the coordinates of the point A after the rotation about 180° is (-2,1)

Therefore, the coordinates of the point A' is (-2,1)

Hence, Option B is the correct answer.