Help please :) ........................................

patriot [66]

Answer:

The required result is proved with the help of angle bisector theorem.

Step-by-step explanation:

Given △ABD and △CBD, AE and CE are the angle bisectors. we have to prove that $\frac{AD}{AB}=\frac{DC}{CB}$

Angle bisector theorem states that an angle bisector of an angle of a Δ divides the opposite side in two segments that are proportional to the other two sides of triangle.

In ΔADB, AE is the angle bisector

∴ the ratio of the length of side DE to length BE is equal to the ratio of the line segment AD to the line segment AB.

$\frac{DE}{EB}=\frac{AD}{AB}$ → (1)

In ΔDCB, CE is the angle bisector

∴ the ratio of the length of side DE to length BE is equal to the ratio of the line segment CD to the line segment CB.

$\frac{DE}{EB}=\frac{CD}{CB}$ → (2)

From equation (1) and (2), we get

$\frac{AD}{AB}=\frac{CD}{CB}$

Hence Proved.

5 0

3 years ago

The product of two numbers is 1296. If one number is16 times the other, find the number.

Crazy boy [7]

Answer:

81

Step-by-step explanation:

divide 1296 by 16 to get the answer

product means ___ x ____ = product

since 16 is one of the numbers and 1296 is the product, it looks like this 16x___=1296

7 0

2 years ago

Read 2 more answers

Theresa has 26$ in her wallet the bills are each worth either 5$ or 1$ if there are 14 bills total, how many dose she have of ea

Mekhanik [1.2K]

Answer:

Three $5's and eleven $1's

Step-by-step explanation:

8 0

3 years ago

LOOK AT THE PHOTO PLEASE

Alex Ar [27]

Answer:

The answer to the question provided is 11.

Step-by-step explanation:

$\: \: \: \: \: 5x + 9 = 6x - 2 \\ \frac{ - 5x \: = - 5x }{9 = 1x - 2} \\ \frac{ + 2 \: \: \: \: = + 2}{ \frac{11}{1} = \frac{1x}{1} } \\ 11 = x$

[I apologize if the answer to the question provided is inaccurate]

4 0

3 years ago

Today joelle walked at a rate of 3 miles per hour and she ran 15 minutes at a rate of 6 miles per hour.How many total miles did

svetoff [14.1K]

I added a screenshot with the complete question

Answer:
Total miles = 2.5 miles

Explanation:
1- While walking:
We are given that Joelle walked 20 minutes at a rate of 3 miles per hour.
This means that she walked $\frac{20}{60} = \frac{1}{3}$ of an hour at a rate of 3 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time
Substitute with the givens to get the distance she covered while walking:
Distance = 3 * $\frac{1}{3}$ = 1 mile

2- While running:
We are given that Joelle ran 15 minutes at a rate of 6 miles per hour
This means that she ran $\frac{15}{60} = \frac{1}{4}$ of an hour at a rate of 6 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time
Substitute with the givens to get the distance she covered while running:
Distance = 6 * $\frac{1}{4}$ = 1.5 miles

3- getting the total mileage:
Total distance she covered = distance while walking + distance while running
Total distance she covered = 1 + 1.5
Total distance she covered = 2.5 miles

Hope this helps :)

4 0

3 years ago