9 1/2 yards x 19 1/4 yards

(9 1/2) * (19 1/4) = 1463/8 = 182 7/8

Step-by-step explanation:

Conversion a mixed number 9 1/2

to a improper fraction: 9 1/2 = 9 1/2

= 9 · 2 + 1/2

= 18 + 1/2

= 19/2

To find a new numerator:

a) Multiply the whole number 9 by the denominator 2. Whole number 9 equally 9 * 2/2

= 18/2

b) Add the answer from previous step 18 to the numerator 1. New numerator is 18 + 1 = 19

c) Write a previous answer (new numerator 19) over the denominator 2.

Nine and one half is nineteen halves

Conversion a mixed number 19 1/4

to a improper fraction: 19 1/4 = 19 1/4

= 19 · 4 + 1/4

= 76 + 1/4

= 77/4

To find new numerator:

a) Multiply the whole number 19 by the denominator 4. Whole number 19 equally 19 * 4/4

= 76/4

b) Add the answer from previous step 76 to the numerator 1. New numerator is 76 + 1 = 77

c) Write a previous answer (new numerator 77) over the denominator 4.

Nineteen and one quarter is seventy-seven quarters

Multiple: 19/2

* 77/4

= 19 · 77/2.4

= 1463/8

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

answer: asdfghjkl,mnbv

step-by-step explanation: