∆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

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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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?

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

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.

can someone help me on this and plz explain

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

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

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?

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 $

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15/7 = 2 1/7 right?

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

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

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

maths homework please help me

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

Find x and y. please help​

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

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

1. The Clock
[tex] \sqrt{81} [/tex]
​

What’s 20 times 69?????

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)}

∆ 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

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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)

2x3(5-4)/6.2
Algebra

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

como simplificar 9/3​

‼️ PLEASEEE HELPP ‼️

NEED HELP AND RIGHT ANSWER DONT RUSH! REWARD BRAINLIEST

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