PLEASE HELP ILL AWARD BRAINLIESTUse a two-column proof to prove the Triangle Proportionality Theorem:

image attached

Answers

Answer 1

Answer:

Answer:

A line ED parallel to one side of the triangle {CB} has intersected the other two sides of the triangle [AB and AC] making the sides proportional.

Step-by-step explanation:

The Triangle Proportionality Theorem states that:

If a line parallel to one side of a triangle intersects the other two sides then it divides those sides proportionally. The segments joining midpoints of the two sides of the triangle will be parallel to the third side and half the length.

This means if a line divides two sides of a triangle proportionally, then it is parallel to the third side.

In this case;

AD/AB =AE/AC is true because;

A line ED parallel to one side of the triangle {CB} has intersected the other two sides of the triangle [AB and AC] making the sides proportional.

The segments{AD,AB,AE,EC] joining the midpoints {D & E} of the two sides {AB & AC} of the triangle will be parallel to the third side BC and half the length.

Related Questions

A parallelogram has a base of 16 inches and a height of 11.7 inches. What is the area of the parallelogram?
The table below shows data from a survey about the amount of time students spend doing homework each week. The students were either in college or in high school:High Low Q1 Q3 IQR Median Mean σ College 20 6 8 18 10 14 13.3 5.2 High School 20 3 5.5 16 10.5 11 11 5.4 Which of the choices below best describes how to measure the spread of this data? A. Both spreads are best described with the IQR. B. Both spreads are best described with the standard deviation. C. The college spread is best described by the IQR. The high school spread is best described by the standard deviation. D. The college spread is best described by the standard deviation. The high school spread is best described by the IQR.
The home that you want to purchase requires that you pay 2.5 points towards a $175,210 loan. Determine the cost of the home after the points have been applied.
What is the slope of the line
A bag contains 8 red, 4 blue, and 4 yellow marbles. What is the probability of randomly choosing 2 blue marbles without replacement? Write the answer as a decimal. Round to the nearest hundredth if needed. And What is the probability of getting heads, tails, and heads, in that order when flipping a coin? are these events dependent or independent? A. 1/8 dependent B. 1/8 independent C. 1/6 dependent D. 1/6 independent. Please help me i really need it thank you so much for whoever helps me.

A worker can do a job in 5 hours, and his student can do the same job in 8 hours. What part of the work is left to finish after two hours of their working together?

Answers

Answer:

7/20

Step-by-step explanation:

Answer: 13/20

Think: How much can each of them do In 1 Hour (1/5 and 1/8) Then add those two together. Then multiply the sum by two. Finally Simplify the answer of 26/40 into 13/20

-5r + 2r = -3 aLGREBRA

Answers

Answer:

r = 1

Step-by-step explanation:

We can combine like terms, getting -3r = -3.

Then we can divide both sides by -3, and get r = 1.

Answer:

r = 1

Step-by-step explanation:

First, we'll simplify

-5r + 2r = -3

-3r = -3

Then, we divide

-3 divided by - 3 is equal to 1

Therefore, r = 1

Hope this helps!

A box contains 4 oranges, 9 apples, and 3 pears. Liliana selects a piece of fruit from the box at random.What is the probability that she selects an orange or a pear?

A.1 over 20

B.3 over 64

C.7 over 16

D.9 over 16

Answers

oranges+apples+pears = 4+9+3=16

oranges = 4/16
pears = 3/16
4/16 + 3/16 = 7/16

Answer:

7/16

Step-by-step explanation:

k12

Y=x-3 and 2x-4y=8 can you help me please

Answers

$\left\{\begin{array}{ccc}y=x-3\n2x-4y=8\end{array}\right\n\nsubtitute\ y=x-3\ to\ the\ second\ equation:\n\n2x-4(x-3)=8\n2x-4(x)-4(-3)=8\n2x-4x+12=8\n-2x+12=8\ \ \ \ |subtract\ 12\ from\ both\ sides\n-2x=-4\ \ \ \ |divide\ both\ sides\ by\ (-2)\n\boxed{x=2}\n\nput\ value\ of \x-2\ to\ the\ equation\ y=x-3:\ny=2-3=-1\n\nAnswer:\boxed{x=2\ and\ y=-1}$

$y=x-3\n2x-4y=8\n\n2x-4(x-3)=8\n2x-4x+12=8\n-2x=-4\nx=2\n\ny=2-3\ny=-1$

What is 2.2 as an improper fraction

Answers

2.2 as an improper fraction is 11/5

The main tank has a radius of 60 feet. What is the volume of the quarter-sphered sized tank? Round your answer to the nearest whole number. You must explain your answer using words, and you must show all work and calculations to receive credit.