Mrs. Garcia’s students were asked to find 220% of 75. Each of the students had a different method. Amy: “I multiplied 2.20 by 75 to find my answer.”
Braden: “I created a table with columns for 100%, 100%, 20%, and 220%. Then I filled in the table and added the values.”
Colton: “I created a table with columns for 100%, 10%, 10%, and 220%. Then I filled in
the table and added the values.”
Danielle: “I divided 75 by 5 to find 20%. Then I added 75 twice to what I found to get my final answer.”
If all of the students completed their steps accurately, which student got the answer wrong?

Colton.

Step-by-step explanation:

Amy: 220% is basically which in decimal form, is 2.20.

Braden: 100% + 100% + 20% = 220%, so it is accurate.

Colton: 100%  + 10% + 10% = 120%, not 220%.

Dainielle: 100% of 75 is 75. Dividing the 100% of 75 by 5 makes a 20%. Adding 100% of 75 twice makes 200%. 200% + 20% = 220%, so it is accurate.

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°