Hector enters a competition to guess how many stuffed animals are in a box. Hector’s guess is 35 stuffed animals. The actual number of stuffed animals is 28. What is the percent error of Hector’s guess?

20%

Step-by-step explanation:Based on the given conditions, formulate:( 35 - 28 ) divided by 35

Calculate the sum or difference: 7/ 35

Cross out the common factor: 1/5

Multiply a number to both the numerator and the denominator: 1/5 x 20/20

Write as a single fraction: 20/5x20

Calculate the product or quotient:20/100

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°