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Effectus [21]
3 years ago
10

Given △ABC, AD and BE are medians, AD ∩BE=G. Prove: GD/AG = DE/AB

Mathematics
1 answer:
saw5 [17]3 years ago
3 0

Answer:

See explanantion

Step-by-step explanation:

Since AD and BE are medians, then points D and E are midpoints of the sides BC and AC, respectively. Thus, segment DE is triangle's midline. By the Triangle midline theorem, DE is parallel to the side AB. Thus,

  • \angle ABE\cong \angle BED;
  • \angle BAD\cong \angle EDA

as alternate interior angles.

Moreover, \angle BGA\cong \angle EGD as vertical angles.

This gives us that triangles ABG and DEG are similar by AAA postulate.

Hence,

\dfrac{AB}{ED}=\dfrac{AG}{GD}

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1.Graph f(x) = -1.5x +6<br> 2.Graph f(x) = -1/2x-5
nalin [4]

Ans(1):

Given equation is f(x)=-1.5x+6

we can plug any number like x=0 and x=2 to find the f(x) also called y-value

plug x=0

f(x)=-1.5x+6 =-1.5*0+6 =0+6 =6

Hence first point is (0,6)

plug x=2

f(x)=-1.5x+6 =-1.5*2+6 =-3+6 =3

Hence first point is (2,3)

now we can graph both points then join them to get final graph of f(x)=-1.5x+6

---------------------

Ans(2):

We can repeat exactly same process for f(x) = -1/2x-5.

So the final graph will look like attached picture:


5 0
3 years ago
Suppose you received a score of 95 out of 100 on exam 1 . The mean was 79 and the standard deviation was 8 . If your score on ex
Schach [20]

Answer:

You did the same on both exams.

Step-by-step explanation:

To compare both the scores, we need to compute the z scores of both the exams and then compare the values. The formula for z-score is:

<u>Z = (X - μ)/σ</u>

Where X = score obtained

           μ = mean score

           σ = standard deviation

For Exam 1:

Z = (95 - 79)/8

  = 16/8

<u>Z = 2</u>

For Exam 2:

Z = (90 - 60)/15

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<u>Z = 2</u>

<u>The z-scores for both the tests are same hence the third option is correct i.e. </u><u>you did the same on both exams.</u>

8 0
3 years ago
How many coconuts were in the original pile
leonid [27]
25 coconuts were in the originalpile the first sailor gave one of them to the monkeys and took 1/3 of the 24th equals eight which left 16 the second sailor gave one to the monkey and took 1/3 of 15 then all three sailors took two more each
4 0
3 years ago
Alicia purchased a $1,000 bond with a maturity of 20 years. since she bought it, the rate of interest paid by other, slimier bon
Allisa [31]
The answer would be A) less than 1,000 Dollars
7 0
3 years ago
A student took a 20 question test. 16 of the questions were correct. What percent of the questions did the student get correct?
elena-14-01-66 [18.8K]

Answer:

80%

Step-by-step explanation:

16/20 = 0.80

80%

5 0
3 years ago
Read 2 more answers
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