1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Based on the graph, what is the cyclist's speed in miles per
Aleksandr [31]
The answer is a) 16mph
8 0
3 years ago
If 5k = -25, then 5k - 1 = -25 - 1<br> Segment proof
Pavlova-9 [17]
Yeah cuz u could +1 to each side of the second equation to get rid of both the -1’s and that is equivalent to the first equation :)
6 0
3 years ago
Solve (4x^4-7-6x^2) (2x^2 4x^4 8)
kotykmax [81]
Your answer can only be simplified to
256x^10 - 384^8 - 448^6 
5 0
3 years ago
POSSIBLE POINTS: 5.88
Bess [88]

The function of the length z in meters of the side parallel to the wall is A(z) = z/2(210 - z)

<h3>How to write a function of the length z in meters of the side parallel to the wall?</h3>

The given parameters are:

Perimeter = 210 meters

Let the length parallel to the wall be represented as z and the width be x

So, the perimeter of the fence is

P = 2x + z

This gives

210 = 2x + z

Make x the subject

x = 1/2(210 - z)

The area of the wall is calculated as

A = xz

So, we have

A = 1/2(210 - z) * z

This gives

A = z/2(210 - z)

Rewrite as

A(z) = z/2(210 - z)

Hence, the function of the length z in meters of the side parallel to the wall is A(z) = z/2(210 - z)

Read more about functions at

brainly.com/question/1415456

#SPJ1

5 0
1 year ago
Given: Triangle ABC, mmBC=24 cm, line segment AL- &lt; bisector
Furkat [3]

The value of line AL is 21. 51cm

<h3>How to determine the length</h3>

To find line AL,

Using

Sin α = opposite/ hypotenuse to find line AB

Sin 90 = x/ 24

1 = x/24

Cross multiply

x = 24cm

Now, let's find line AC

Sin angle B = line AC/24

Note that to find angle B

angle A + angle B + angle C = 180

But angle B = 2 Angle A

x + 2x + 90 = 180

3x + 90 = 180

3x = 180-90

x = 30°

Angle B = 2 × 30 = 60°

Sin 60 = x/ 24

0. 8660 = x/24

Cross multiply

x = 24 × 0. 8660

x = 20. 78cm

We have the angle of A  in the given triangle to be divide into two by the bisector, angle A = 15°

To find line AL, we use

Cos = adjacent/ line AL

Cos 15 = 20. 78/ line AL

Line AL = 20. 78/ cos 15

Line AL = 20. 78 / 0. 9659

Line AL = 21. 51 cm

Thus, the value of line AL is 21. 51cm

Learn more about trigonometry ratio here:

brainly.com/question/24349828

#SPJ1

6 0
1 year ago
Other questions:
  • Between what pair of numbers is the product of 289 and 7
    5·1 answer
  • Billy Bob got his first job earning minimum wage. If he earns $108.75 after working 15 hours, how much money will he earn after
    9·2 answers
  • Write 2.95 as the quotient of two integers
    8·2 answers
  • Eduardo has $24 saved. if he saves $8 each week, how much will he have in 5 weeks?
    10·1 answer
  • Tommy has 5 jars of marbles . Each jar is 2 /3 with marbles.
    7·1 answer
  • The graph represents a function with the form f(x) = asin(bx + c).
    8·2 answers
  • 6 x what =50 help ASAP
    11·1 answer
  • If triangle abc, a=3, b=5 and c=7. Find the measure of angle b
    12·2 answers
  • PLEASE HELP I ONLY HAVE 12 MINUTES!! The pendulum of the grandfather clock shown below swings at a maximum angle of 25 degrees.
    9·2 answers
  • According to the line plot, what is the total weight gained by the dogs that gained 1/8 f a pound or 3/4 of a pound?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!