Blanking on how medians in a triangle work

Blanking On How Medians In A Triangle Work

Answers

Answer 1

A median cuts a leg of a triangle in half. So for instance, PF being a median means that DP and PE are congruent and have the same length. Consequently, each component triangle (that is, ∆DPC, ∆EPC, ∆EQC, etc) all have the same area.

If A is the area of ∆PCE, then the area of ∆PFE is 3A.

Take PF = 24 to be the base of ∆PFE, and take PC to be the base of ∆PCE. The area of any triangle is equal to 1/2 times the base times the height. But ∆PFE and ∆PCE share the same height (you can see this by dropping an altitude from the vertex E down to the line containing PF), so PC is 1/3 the length of PF, so FC must be 2/3 the length of PF.

So FC has length 2/3 × 24 = 16.


Related Questions

STOP RIGHT THERE. Please help me.

Answers

Answer:

the answer is B

Step-by-step explanation:

Well we can get rid of A and D because we're not adding money, we're subtracting (thats what a sale is)

So we're left with B and C.

To find what 17% of 3 is, we multiply 3 x 0.17, which totals to 0.51. It can't be C because you find 51% of 3 which is not what we're looking for, so it is B.

PLS help 20 min
Which of the following correctly uses absolute value to show the distance between -80 and 15? (5 points) a |-80 - 15| = |-95| = -95 units b |-80 + 15| = |-65| = 65 units c |-80 - 15| = |-95| = 95 units d |-80 + 15| = |-65| = -65 units

Answers

Answer:

It's B, |-80+15|= 65

Step-by-step explanation:

HELLLLLPPPPPPP MEEEEEEE PLZZZZZZZZZZZ

Answers

pretty sure the third one

In a basketball game Jamarcus made 15 out of 25 shots and tyrell made 32 out of 50 shots who’s the better shooter

Answers

Answer:

Jamarcus is the better shooter

Step-by-step explanation:

Jamarcus is better because he needs 10 more shots to reach 25 while tyrell needs 18 More shots to make 50

Answer:

Tyrell

Step-by-step explanation

Well this is simple you take Jamarcus shots made and divide it into the total shots which is 15/25=0.6 or 60%. So Jamarcus made 60% of the shots attempted. Tyrell made 32 out of 50 shots so that will be 32/50=0.64 or 64%. Since 64%>60% Tyrell is the better shooter

The equation p=6s  represents the perimeter p of a regular hexagon with sides length 2cm
What is the perimeter of a regular hexagon with side length 2cm

Answers

Answer:

p= 12cm

Step-by-step explanation:

These are the weekly wages paid to staff in a hotel.

£245
£140
£525
£163
£195
£174
£140

What is the median wage?

Answers

If I’m not mistaken 174 is your median

a + bx: a = 15,b= -4, and x = -3

Answers

answer: 27

explanation:
plug in the numbers for their corresponding letter...
15 + (-4)(-3)
then use PEMDAS...
15 + (12)
= 27

what is the length of segment BC?

Answers

you got an equation or a pic?

We need more explaining

how much should dave charge for donuts?

Answers

Answer:

1 million bucks UvU

Step-by-step explanation:

Naw I'm just playin $7.49 if it's a good quality donut.

If it not a good quality donut then prolly $4.50

What is the total amounted sap the tees produced that day

Answers

Answer:

5 gallons

Step-by-step explanation:

i have done this lesson before

can you find the value x in the f figure​

Answers

Answer:

[tex]x =[/tex] [tex]16\frac{2}{11}[/tex]

Step-by-step explanation:

According to the image, those are verticle angles, so I came up with this equation that can help me solve this problem:

5x+12+6x-10=180

11x+2=180

11x=178

x=[tex]16\frac{2}{11}[/tex]

About how many more jazz records were sold in April than in February?

Answers

Answer: DO you have a chart or something that i can actually help you with

Step-by-step explanation:

Helppppp pleaseeeeeeeeeeeeee

Answers

I’m sorry but I can’t see it it s flipped over
1.. No
2...Yes
3...No
4...Yes

Graphs can only provide a limited view of the data.

a. True
b. False

Answers

Answer:

Graphs can only provide a limited view of the data.

b. False

Step-by-step explanation:

On the contrary, graphs present better views of the presented data.  Mathematically, graphs are methods of visually illustrating data relationships.  The main purpose of using a graph is to present complicated data that show trends or relationships between variables.  It has been an important tool for presenting data in a visual and easy-to-understand format, without using too much description.

please help. im pretty stumped

Answers

Answer:

-

you write the answer here

Step-by-step explanation:

and explain here

PLEASE ANSWER ASASP
-5y + 4 = -11
what is y?

Answers

Answer:

3

Step-by-step explanation:

-5y + 4 = -11   Get rid of the numbers to get y alone.

-5y +4 minus 4 = -11 minus 4    Here you are removing the 4 from the left

-5y = -15       Now you will have to get rid of the -5

-5y/(-5) = -15/(-5)    

y = 3

Answer:

y = 3

Step-by-step explanation:

-5y + 4 = -11

       -4     -4

-5y = -15

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

-5       -5

  y = 3

An item on sale costs  85% of the original price. The original price was  $75.​

Answers

Answer:

$63.75

Step-by-step explanation: I think

75 multiplied by 0.85 the answer is 63.75

Solve for x.
-1+4x5= 3

Answers

Answer:

[tex]x = 0.2 \: or \: \frac{1}{5} [/tex]

Step-by-step explanation:

[tex] - 1 + 4x.5 = 3[/tex]

[tex] = > 20x - 1 = 3[/tex]

[tex] = > 20x = 3 + 1 = 4[/tex]

[tex] = > x = \frac{4}{20} = \frac{1}{5} = 0.2[/tex]

Need done ASAP 25 points!!!!!!!!

Answers

Answer:

Step-by-step explanation:

A

The answer should be A. I hope this helps so sorry if it’s incorrect

help please tell me if its a b c or d​

Answers

Answer:

C

Step-by-step explanation:

just did it

4/x = 2/7 please help ASAP!!

Answers

Answer:

use cross multiplication to solve

4*7 = 2*x (multiply)

28 = 2x (divide both sides by 2 to isolate x )

x = 14 (your answer)

Step-by-step explanation:

I hope this helped :)

Answer:

Step-by-step explanation:

Or,2×x=7×4

Or,2x=28

Or,x=14

Write an equation of the line that passes through the given points. ​(-1,7) and (3,-5)

Answers

Answer:

y=-3x+4

Step-by-step explanation:

First, let's find the slope (m)

(-1,7), and (3,-5)

the formula is: (y2-y1)/(x2-x1)

we can label the points.

x1=-1

y1=7

x2=3

y2=-5

substitute into the equation

m=(-5-7)/(3--1)

m=(-12)/4

m=-3

Now let's use the equation for point-slope form, which is y-y1=m(x-x1)

using the labeled points from above:

y-7=-3(x+1)

do distributive prop

y-7=-3x-3

add 7 to both sides

y=-3x+4

8. Dylan has 35 coins in his pocket. All of them are either pennies or quarters, and
they total $4.43. How many of each coin does he have?

Answers

He has 17 quarters and 18 pennies.
Because 17*0.25=4.25 and 18*0.01=0.18.
4.25+0.18=4.43 also 17+18=35

HELLLLLLPPPPPPPP plz need rest

Answers

Answer:

x = 5

Step-by-step explanation:

The opposite sides of a parallelogram must be parallel to each other, and this is shown by the equivalent opposite interior angles on each side of the bisector.

Since the opposite sides of a parallelogram are parallel, they must be of equal length (this is one of the fundamental properties of a parallelogram).

Therefore, we can set (18x - 5) and (16x + 5) equal to each other in an equation and solve for x.

18x - 5 = 16x + 5

Subtract 16x from both sides.

2x - 5 = 5

Add 5 to both sides.

2x = 10

Divide both sides by 2.

x = 5

The value of 5 for x must make ABCD a parallelogram.

How can I tell that a graph is a function or not?

Answers

Answer:

You can use the vertical line test, which means anywhere you put it on the graph it should only pass through the line once.

Step-by-step explanation:

This insures that the graph does not have two of the same x values. However if it has two points that have the same x values that means it will not be a function.

State University has no honors English course but instead places all freshman scoring at least 60 on a proficiency exam (mean=50, standard deviation=10) into an advanced composition course. If the scores are normally distributed and there are 2,500 entering freshman, how many will be put into the advanced course?

Answers

Answer:

that put into the advanced course is 396.75

Step-by-step explanation:

The computation of that put into the advanced course is shown below:

P(X>60)

= P((X - mean) ÷ s > (60 - 50) ÷ 10)

= P (Z > 1)

= 0.1587

It could be checked by the standard normal table

Now that put into the advance course is

= 2,500 × 0.1587

= 396.75

Hence, that put into the advanced course is 396.75

Tanner's employer pays 60% of his medical insurance. If the insurance costs $40
per week. How much Tanner and his employer pay for the entire year?

Answers

Answer:

Tanner's employer pays $1251.43 a year and tanner pays $834.29

Step-by-step explanation:

Please help me with this question

Answers

Answer:

The answer would be C

Step-by-step explanation:

The reason it is C, is because, if you add 13 to 3, you would get 16. Then, by dividing that by 2, you would get the desired answer of 8.

Answer:

c

Step-by-step explanation:

I just know because I worked it out on paper

If each of the numbers in the following data set were multiplied by 17, what
would be the median of the data set?
28, 58, 20, 14, 18, 71, 36
A. 986
B. 1207
C. 476
D. 612

Answers

Answer:

B

Step-by-step explanation:

helppppp please I'm stuck​

Answers

the correct answer would be 2 because that’s what it leads to. i did it for a few days but i didn’t have any of them to go to the

Answer:

10/5= 2

I hope this helps:

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