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Ksivusya [100]
3 years ago
6

Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

Mathematics
2 answers:
Taya2010 [7]3 years ago
4 0

Answer:

Segment DE is half the length of segment AC. -- Substitution property of equality

Step-by-step explanation:

Here is given a proof for proving line joining mid segment is parallel and half the length of third side.

Stepwise proof is given in two columns

We find that for every line there is a justification as

STatement                                        Justification

D and E coordinates found out       MId point formula

DE and BC are measured                Distance formula

DE=1/2 BC                                          Substitution property of equality

This justification was missing in the given proof and with this included proof would be complete

Bond [772]3 years ago
4 0

Answer:

substitution property of equality

Step-by-step explanation:

i took the exam and got it right

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Your parents decide they would like to install a rectangular swimming pool in the backyard. There is a 15-foot by 20-foot rectan
Lilit [14]

Answer:

  • perimeter: 46 ft
  • area: 126 ft²

Step-by-step explanation:

Since the 3 ft edge is on both sides of the pool, each dimension of the pool is 6 ft shorter than the corresponding dimension of the space. The pool will be 15 ft -6 ft = 9 ft in one direction and 20 ft -6 ft = 14 ft in the other direction.

The perimeter of the pool is the sum of its side lengths:

  P = 9 ft + 14 ft + 9 ft + 14 ft = 2(9 ft +14 ft) = 2(23 ft)

  P = 46 ft

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The area of the pool is the product of its length and width:

  A = (14 ft)(9 ft) = 126 ft²

The perimeter and area are 46 ft and 126 ft², respectively.

5 0
3 years ago
In 1950, scientist estimated a certain animal population in a particular geographical area to be 6400 in 2000, the population ha
irina1246 [14]

Answer:

8,100

Step-by-step explanation:

7,200 - 6,400 = 800 increased in 50. Years

What percentage is 800 of 6,400 (%/100 = is/of)

x/100 = 800/6400 (cross multiply)

(800*100)/6400 = 12.50%

(12.50 * 7200)/100 = 900 increased

7,200 + 900 = 8,100

7 0
2 years ago
The size of airmail packages is it continuous or discrete?
valina [46]
The answer is d<span>iscrete.</span>
6 0
2 years ago
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Find the length of st​
lutik1710 [3]
The legth is 3.6 :) it says it to the right
6 0
3 years ago
The two right scalene triangles shown are similar , but not congruent. Which statement about the triangles is not true
garri49 [273]

Answer: <CDB corresponds to <ECD

Step-by-step explanation:

The angles in similar triangles correspond to each other.

For two angles in similar triangles to correspond to each other, then they have to be in the same position in the triangle. (EX: a 90 degree angle corresponds to another 90 degree angle or an angle across from the shortest side corresponds to another angle in the other triangle across from the shortest side)

In this case, <CDB is to the right of the 90 degree angle, so the angle it will correspond to is the angle in the other triangle which is opposite to the 90 degree angle, which is <CED.

<CED is not <ECD, so that answer is wrong.

Tell me if I need to clarify anything - this topic is kind of hard to explain :/

3 0
3 years ago
Read 2 more answers
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