subject
Mathematics, 09.09.2021 03:10 dominikbatt

The sum of two numbers is 62, and their difference is 12. What are the numbers? Show work

ansver
Answers: 3
ansver
Answer from: Quest

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°

Another question on Mathematics

question
Mathematics, 21.06.2019 15:30
Consider the system: y = 3x + 5 y = ax + b what values for a and b make the system inconsistent? what values for a and b make the system consistent and dependent? explain
Answers: 1
question
Mathematics, 21.06.2019 17:30
Asphere has a diameter of 10 in. what is the volume of the sphere?
Answers: 1
question
Mathematics, 21.06.2019 20:30
What’s 8y+48 and factor each expression completely
Answers: 2
question
Mathematics, 21.06.2019 21:30
Joe has a rectangular chicken coop. the length of the coop is 4 feet less than twice the width. the area of the chicken coop is 510 square feet. what is the length of the chicken coup?
Answers: 3
You know the right answer?
The sum of two numbers is 62, and their difference is 12. What are the numbers? Show work...
Questions
question
Chemistry, 09.01.2021 04:30
question
Mathematics, 09.01.2021 04:30
question
English, 09.01.2021 04:30