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Lesechka [4]
3 years ago
13

Let AB // ED , AB = 10 units, AC = 12 units, and DE = 5 units. What is the length of AD?​

Mathematics
1 answer:
zheka24 [161]3 years ago
4 0

Answer:

length of CD = 18 units.

Step-by-step explanation:

In ΔABC and ΔCED,

AB║DE and AD is a transversal line,

m∠ABC = m∠CED [Alternate interior angles]

m∠ACB = m∠DCE [Vertically opposite angles]

ΔABC ~ ΔCED [By AA property of similarity]

Therefore, by the property of similar triangles, corresponding sides will be proportional.

\frac{AB}{DE}= \frac{AC}{DC}

\frac{10}{5}=\frac{12}{CD}

CD = 6

Since, AD = AC + CD

AD = 12 + 6

     = 18 units

Therefore, length of CD = 18 units.

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4 0
3 years ago
A person leaves her camp at 7:00 a.m. to hike back to her car. The distance from the car in kilometers y after x hours of hiking
FromTheMoon [43]

Answer:

The x axis in the function represents, the number of hours after 7:00 A.M. , the person reaches her car. The person reaches the car at 1:00 P.M.

Step-by-step explanation:

The x axis denotes the no. of hours and and the y axis denotes the distance from the car.

X Intercept is a point where the line intersects the X axis, we can easily notice the fact that at that point, y=0 ie. The person has reached his/her respective car.

The line intersects x at 6.

Therefore, a total of 6 hours are taken from the beginning of the hike.

Thus, the person reaches the car at 1:00 P.M.

6 0
3 years ago
Tanya and tim clean the house in 3 hours their 3 children at the same 6 hours
zheka24 [161]

It will take them exactly 4hours 48 minutes.

<h3>what is rate?</h3>

Rate is a measure of a given quantity against a known or standard quantity.

Analysis:

If Tanya and Tim cleaned the house in 3 hours. Then either of them would clean the house in 2 x 3 = 6 hours.

If their 3 children cleaned the house in 6 hours, then each child would clean the house in = 3 x 6 = 18 hours

Total time for cleaning the house = 18 hours + 6 hours = 24 hours

If the five people were to do it at once then time taken to clean the house = 24/5 = 4.8 hours = 4 hours 48 minutes

In conclusion, the time for 5 people to clean the house is 4 hours 48 minutes

Learn more about rate: brainly.com/question/24304697

#SPJ1

6 0
2 years ago
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