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gtnhenbr [62]
3 years ago
10

Given that B, D and F are midpoints, find the length of segment DA.

Mathematics
2 answers:
TiliK225 [7]3 years ago
6 0

Answer:

The length of segment DA is 15 units

Step-by-step explanation:

  • <em>The segment which joining a vertex of  a triangle and the midpoint of the opposite side to this vertex is called a median </em>
  • <em>The point of intersection of the median of a triangle divides each median into two parts the ratio between them is 1: 2 from the base, which means </em><em>the length of the median is 3 times the part from the base</em><em>  </em>

Let us use this rule to solve the question

In Δ AEC

∵ D is the midpoint of EC

∴ AD is a median

∵ B is the midpoint of AC

∴ EB is a median

∵ F is the midpoint of AE

∴ CF is a median

→ The three medians intersected at a point inside the triangle,

   let us called it M

∵ AD ∩ EB ∩ CF at M

∴ M is the point of intersection of the medians of Δ AEC

→ By using the rule above

∴ AD = 3 MD

∵ MD = 5

∴ AD = 3(5)

∴ AD = 15 units

statuscvo [17]3 years ago
6 0

Answer:

the answer is 15!! i jus took the test!!!!!!

Step-by-step explanation:

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Answer: 10 - 2√21

Step-by-step explanation: I simplified your question by using an online calculator. :)

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3 years ago
Judy is pulling on a trunk with a 12-N force. Ike pulls at right angles to Judy. With how much force must Ike pull to make the r
Ratling [72]
To understand the problem, let's first draw a free body diagram of the forces exerted by Judy and Ike on the truck. (Refer to the left side of the attachment).

To solve for the resultant, we just use the tip-to-tail method. This is illustrated on the right side of the attachment.

We can see that the tip-to-tail method forms a right triangle thus we can just apply the Pythagorean theorem in solving for Ike's force.

20^{2} = 12^{2} + F^{2}
400 = 144 + F^{2}
256 = F^{2}
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ANSWER: Ike must pull the truck with a force of 16.0 N.

8 0
3 years ago
Brandon uses the steps below to solve the equation 15 x + 6 = 14 x + 5 using algebra tiles.
iris [78.8K]
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7 0
4 years ago
Read 2 more answers
Answer This Mathematics (Hard Mode)<br>522 X 854 = ____​
iren2701 [21]

Answer:

445788

Step-by-step explanation:

OMG too difficult man!!

Thanks to my calculator to solve this hard question

5 0
2 years ago
Read 2 more answers
Jonathan’s class has 30 boys. Of the students in his class, 60% are girls. How many girls are in Jonathan’s class?
raketka [301]

Answer:

45 girls

Step-by-step explanation:

  • Remark
  • There are only 2 choices for gender. So if the class is 60% girls, the there must be 100 - 60 = 40% for the boys.
  • But we are told that the boys are 30 in number.
  • Let x = the total number of students.

Solution

  • 40/100 * x = 30              Change the % to a decimal
  • 0.4 x = 30                       Divide both sides by 0.4
  • 0.4 x / 0.4 = 30 / 0.4      Do the division
  • x = 30/0.4
  • x = 75 students in total

Formula

Total of Boys and Girls = Number of boys + number of girls.

Givens

  • Total = 75
  • Number of boys = 30

Solution II

  • 75 = x + 30                 Subtract 30 from each side
  • 75 - 30 = x +30 - 30
  • 45 = x
  • There are 45 girls in the class.
5 0
4 years ago
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