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lakkis [162]
1 year ago
7

13. Check all the true statements.

Mathematics
1 answer:
romanna [79]1 year ago
3 0

Based on the triangle midsegment theorem, the true statements are:

DE║AC

2DE = AC

<h3>What is the Triangle Midsegment Theorem?</h3>

If a line segment joins two sides of triangle and divides them at their midpoint, the divided segments will be congruent, and thus, the line segment joining the two sides is a midsegment of the triangle. According to the triangle midsegment theorem, the midsegment will be parallel to the third side that is not divided and also would be 1/2 its length. That is, the third side is twice the midsegment of that triangle.

In the image given, considering triangle ABC, we can make the following conclusions based on the triangle midsegment theorem:

D and E are midpoints of sides AB and BC respectively because they are divided by segment DE equally.

The midsegment is DE.

DE would be parallel to the third side, line segment AC.

Length of AC would be twice the length of DE

In conclusion, the true statements based on the triangle midsegment theorem are:

DE║AC

2DE = AC

Learn more about the triangle midsegment theorem on:

brainly.com/question/12234706

#SPJ1

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What is 67/7 as mixed number
monitta

Answer:

9 4/7

Step-by-step explanation:

First, we need to make as many 7s as possible. If we do 67/7, we will get 9...... so our whole number is 9. If we do 7 x 9, we get 63 and if we subtract 63 from 67, we are left with 4. All in all, we will get 9 4/7!

6 0
3 years ago
What is the difference between the exact simple interest and the ordinary simple interest on a 200-day loan of 5,000 at 12%
77julia77 [94]

Answer:

  4.56

Step-by-step explanation:

"Ordinary" interest will be more than "exact" interest because the number of days in a year is a smaller value. The difference will be ...

  Io = Prt = 5000(0.12)(200/360) = 333.33

  Ie = Prt = 5000(0.12)(200/365) = 328.77

The difference is ...

  333.33 -328.77 = 4.56 . . . the difference in interest values

_____

<em>Additional comment</em>

The question asks for the difference between exact and ordinary interest, so the result is technically negative:

  328.77 -333.33 = -4.56

6 0
3 years ago
Does the table represent a linear relationship (3,15) (9,45) (21,105) why or why not?
Tasya [4]
Sysydystistisitw58w58w693636e59e5969e69
7 0
2 years ago
8/9÷3= 7/8 1/5 8/27 2/3​
natima [27]
8/9 divided by 3 = 8/27

have a wonderful day! the steps are down below! :)

4 0
3 years ago
Find the value of x in the diagram below. x =
padilas [110]

Answer:

x = 79°

Step-by-step explanation:

The arrows on the line segments indicate that the lines are <u>parallel</u>.

As the parallel line segments are the <u>same length</u>, the other pair of opposite line segments are also parallel and the same length.  Therefore, we can apply the Alternate Interior Angles Theorem.

<u>Alternate Interior Angles Theorem</u>

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.

Therefore, the missing angle in the triangle including angle x is 28°.

Interior angles of a triangle sum to 180°

⇒ 73° + 28° + x = 180°

⇒ x = 180° - 73° - 28°

⇒ x = 79°

7 0
1 year ago
Read 2 more answers
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