∆ABC i divided into three maller triangle and one quadrilateral. Area of ∆AFE i 4, Area of ∆AFC i 9, area of ∆DFC i 7. Find the area of quadrilateral BEFD

Answers

Answer 1

The area of quadrilateral BEFD, by using Heron’s Formula, is 16.

To calculate the area of quadrilateral BEFD, we first need to calculate the area of the entire triangle ΔABC. This can be done by using Heron’s Formula, which states that the area of a triangle is equal to the square root of the semi-perimeter multiplied by the product of the sides of the triangle, minus the sum of the squares of the sides.

In this case, the semi-perimeter is (a + b + c)/2, where a, b, and c are the sides of the triangle. The sides of triangle ΔABC are 9, 10 and 11, respectively. Applying Heron’s Formula, we have:

Area of ΔABC = √(9 + 10 + 11)/2 * (9 * 10 * 11) - (9^2 + 10^2 + 11^2)

= √27 * 990 – 1230

= √990

= 31.6

Now, since we know the areas of the three triangles within ΔABC (4, 9, and 7), we can subtract the sum of those three from the total area of ΔABC to calculate the area of quadrilateral BEFD.

Area of BEFD = 31.6 – (4 + 9 + 7)

= 31.6 – 20

= 11.6

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Related Questions

‼️ PLEASEEE HELPP ‼️

Answers

Answer:

x=18

Step-by-step explanation:

When a triangle has a midline the midline (in this case "3x-43") is 1/2 of the base of the triangle (in this case "4+x") so you can then say

4+x = 2(3x-43)

Solve that out to find that x = 18

fractionsss
15/7 = 2 1/7 right?

Answers

Answer:

Yepp!!

Step-by-step explanation:

[tex]\frac{15}{7}[/tex] = 2[tex]\frac{1}{7}[/tex]

40 POINTS!
3. Suppose a point at (2,3) is translated to (7,-1). What rule describes this translation?
O A. (x, y) + (x + 5, y - 4)
O B.(z,y) → (2 – 5,y + 4)
O c.(x, y) = (x + 9,y - 2)
O D. (x, y) → (2 – 9,y + 2)

Answers

From (2,3) translate 5 to the right and 4 down to get (7,-1)

Lucy spent a total of $6.60 on 5 apples and a package of grapes. If the package of grapes cost $2.35, how much did each apple cost? Do not put a $ in your answer.

Each apple costs $

Answers

3 plus tax

Step-by-step explanation:

I don't understand this? help me! Linear functions 9th-grade math

Answers

Answer:B i think

Step-by-step explanation:

Solve the equation y – 5x = –7 for y.
A. y = 5x – 7
B. y = –5x – 7
C. y = 5x + 7
D. y = –5x + 7

Answers

Answer:

the answer is B

Step-by-step explanation:

Answer: A. y = 5x -7

Step-by-step explanation:

Y - 5x = -7

+ 5x + 5x

Y = 5x - 7

**you can’t subtract -5x to -5x because it’s already a negative. It should be a positive 5x so you can move it to the other side.

1. Points A and B are to be mapped onto a number line according to two equations. The solution to the equation 2 24 3 A   is the coordinate of point A. The solution to the equation 20 0.2 B   is the coordinate of point B.


(a) Solve the first equation to find the coordinate of point A. Show your work. (


b) Solve the second equation to find the coordinate of point B. Show your work.


(c) Determine the distance between points A and B. Explain.

PLZ HELP!! ASAP

Answers

Answer:

A.    2.11.5 B. 31

Step-by-step explanation:

2.11.5                          B.31

Answer: A) 2/3 * 24/1 = 2/1 * 8/1 = 16/1 = 16

 B) 20 = -B/0.2  

 20 * 0.2 = 4

 C) The distance between the two points is 20, if the point for a is 16, and the distance for b is 4, you would have to add those two together and get 20.

Step-by-step explanation:

Leah puts together gift bags of toys to sell at the flee market. She places exactly 6 toys in each bag. She only sells full bags of toys Leah has 280 toy cars. She can fill 46 toy cars Part B Leah has enough toy trucks to fill 25 gift bags. How many toy cars and toy trucks were put in gift bags to sell at the flee market

Answers

Answer:

320 toy cars and 25 toy trucks

Step-by-step explanation:

1. The Clock
[tex] \sqrt{81} [/tex]

Answers

Answer 9


Explanation I think

If the sum of the interior angles of a polygon is 29160, how many sides does it have?

Answers

Answer:

fhuguyguy

Step-by-step explanation:


Select all ordered pairs that satisfy the function y =
= 8x + 3
A.
(0,3)
B.
(-1, 43)
C.
(0, -45)
D.
(5, 43)

Answers

Answer:

A. (0,3)

Step-by-step explanation:


1. Three different scout troops have 12, 24, and 18 members. These troops must march together in a parade in
the same number of columns. What is the greatest possible number of scouts in each column?
9 scouts
b. 6 scouts
c. 8 scouts
d. 4 scouts

Answers

Answer:

Step-by-step explanation:

12 = 2^2*3

24 = 2^3*3

18 = 2*3^2

Greatest common factor = 6

The answer is b. These troops must March together in a parade in 6 scouts.

∆ has the coordinates (3, 1), (5, 2), (4, 3). ∆´´´ has coordinates (-1, 2), (1, 3) and (0, 4). Which choice describes the translation of ∆ to ∆´´? A +4 units in the direction of x and -1 units in the direction of y B -4 units in the direction of x and +1 units in the direction of y C +4 units in the direction of x and +1 units in the direction of y D -4 units in the direction of x and -1 units in the direction of y

Answers

Answer:

B -4 units in the direction of x and +1 units in the direction of y

Step-by-step explanation:

Given

[tex]A = (3, 1), (5, 2), (4, 3)[/tex]

[tex]A^{-1}= (-1, 2), (1, 3) (0, 4)[/tex]

Required

Determine the translation from A to A-1

Take (3,1) from A and (-1,2) fro A-1 as points of reference,

For translation to occur, we make use of:

[tex](3 + x,1+y) = (-1,2)[/tex]

By comparison:

[tex]3 + x = -1[/tex] and [tex]1 + y = 2[/tex]

Solve for x and y

[tex]3 + x = -1[/tex]

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

[tex]x = -4[/tex]

[tex]1 + y = 2[/tex]

[tex]y = 2 - 1[/tex]

[tex]y=1[/tex]

(B) is correct.

HELP QUICK. By combining three equations, it can be shown that a2+b2=c2. One of the equations is c=e+f. Which of the following could be the other two equations?

Answers

Answer:

bc=eb and ca=fa

please tell me if this is actually the right answer

Step-by-step explanation:

bc=eb and ac=fa is wrong

bc=eb and ca=fa is right

cb=eb and ac=fa is wrong

ba=eb and ab=fa is wrong

NEED HELP AND RIGHT ANSWER DONT RUSH! REWARD BRAINLIEST

Answers

Answer:

1.) x = 49 or x = -49

2.) x = -1/2 or x = -5

4. y=(x+7)(x-7) so the last one I think idfk I just factored it
5. Y = (2x+1) (x-5)

Which expression is equivalent 10x+10
A.2x+5x+4x+5+5
B.2x+8x+1+3+6
C.5x+5x+2+4+4+1
D.2x+9x+5+5
(7th grade) Combing like terms.

Answers

i believe the answer is c !

Answer:

the answer to that question is letter A.2x+5x+4x+5+5

repost, algebra help needed please

Answers

Answer:

y- intercept = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given

f(x) = [tex]\frac{1}{2}[/tex] [tex](6)^{x}[/tex]

To find the y- intercept let x = 0 , then

f(0) = [tex]\frac{1}{2}[/tex] [tex](6)^{0}[/tex] [ [tex]6^{0}[/tex] = 1 ]

      = [tex]\frac{1}{2}[/tex] × 1 = [tex]\frac{1}{2}[/tex] ← y- intercept

Which phrase describes the algebraic expression 5+w
A: the product of 5 and w
B: the quotſent of 5 and w
C: w more than 5
D: 5 less than w

Answers

Answer:

The answer probably is A

Find x and y. please help​

Answers

Answer:

[tex] x = 4 \sqrt{2} [/tex]

[tex] y = 4 \sqrt{6} [/tex]

Step-by-step explanation:

[tex] \sin 45 \degree = \frac{x}{8} \\ \\ x = 8 \sin 45 \degree \\ \\ x = 8 \times \frac{1}{ \sqrt{2} } \\ \\ x = \frac{8 \sqrt{2} }{2} \\ \\ x = 4 \sqrt{2} \\ \\ \\ \tan 30 \degree = \frac{x}{y} \\ \\ \frac{1}{ \sqrt{3} } = \frac{4 \sqrt{2} }{y} \\ \\ y = 4 \sqrt{6} [/tex]

What’s 20 times 69?????

Answers

Answer:

1,380

Step-by-step explanation:

Answer:

20x69 = 1,380

Which set of ordered pairs (x, y) could represent a linear function?
A = {(3,5), (5,1), (7, -2), (9,-6)}
B = {(2,-5), (5,1), (6,3), (7,6)}
C = {(-4,3), (-2,0), (0, -4), (2, –7)}
D = {(-3,7), (-1,5), (1,3), (3, 1)}

Answers

Answer = C

because all are not in set pairs only no. C is pair of set

como simplificar 9/3​

Answers

the answer is 3, because 9 divided by 3 is 3. :)

maths homework please help me

Answers

Answer:

sorry i dont know that im grade 6

Answer:

Which I marked they are wrong I think because they all came out of that lines

Please help, will mark brainliest, do not do for points or I will report, explanation please or no brainliest
Multiply.
2y - 1
2y + 1
4y^2 + 1

Answers

Answer:

to multiply-----

(2y-1)(2y+1)

2y(2y+1)-1(2y+1)

4y^2+2y-2y-1

=4y^2-1

k + 11 = -3k- 25 + 2k

Answers

Answer:

k = -18

Step-by-step explanation:

K+11=-k-25
K+k+11=-25
K+k=-25-11
2k=-36
Divide both sides by 2
The answer is k=-18

can someone help me on this and plz explain

Answers

The answer is c, the -2 stand for the y intercept which is the point on the y vertical line, it then decreases by 3 units because of the -3 slope.

At Jefferson Middle School, eighty-two students were asked which sports they plan to participate in for the coming year. Twenty students plan to participate in track and cross country; six students in cross country and basketball; and eight students in track and basketball. Twelve students plan to participate in all three sports. A total of thirty students plan to participate in basketball, and a total of forty students plan to participate in cross country. Ten students don't plan to participate in any of the three sports.

How many students plan to just participate in track?

Answers

Answer:

20

Step-by-step explanation:

2x3(5-4)/6.2
Algebra

Answers

6/6.2 OR 0.627

Step-by-step explanation:

[tex] \frac{2 \times 3(5 - 4)}{6.2} [/tex]

6(1)/6.2 = 6/6.2 OR 0.627

What expression is equivalent to 1/3 x -1/5

Answers

1/15 (5x-3) is your answer
1/15 is the correct answer

3. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!

Write a rule for the linear function shown in the graph.


A. y = 5/3x + 1

B. y = 3x - 1

C. y = 2/5x + 1

D. y = -5/2x - 1

Answers

Answer:

D. y= -5/2x - 1

Step-by-step explanation:

Hope this helps. Sorry if it doesn't

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