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Alik [6]
2 years ago
8

14. The diagonals of square ABCD intersect at E. If AE = 2, find the perimeter of ABCD.

Mathematics
1 answer:
lutik1710 [3]2 years ago
8 0

Answer:

B, 8\sqrt{2}

Step-by-step explanation:

Diagonals of a square are congruent so AC= 4

using pythagorean theorem we can then do x^{2} +x^{2}=4^{2}

2x^{2} = 16\\x^{2} =8\\x=\sqrt{8} \\x=2\sqrt{2}

Then for perimeter we times the 2\sqrt{2} by 4 and get

8\sqrt{2}

Hope this helps and please mark brainliest!!

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IT WUU Tate for school on a
Blizzard [7]

Answer:

Number of students = 441 Students

Step-by-step explanation:

Given:

Percent of women = 40%

Percent of women = 35.5%

Total number of people = 1,800

Find:

Number of students

Computation:

Percent of student = 100% - 35.5% - 40%

Percent of student = 24.5%

Number of students = 1,800 x Percent of student

Number of students = 1,800 x 24.5%

Number of students = 441 Students

3 0
2 years ago
Which of the following graphs represents the function f(x) = x2 + x − 6?
Darya [45]

The answer is: D


Step-by-step explanation:

Direction: Opens Up

Vertex: ( −1/2, −25/4)

Focus: (−1/2, −6)

Axis of Symmetry: x = -12

Directrix:    y = -132                        


3 0
3 years ago
Read 2 more answers
A student must leave for campus in 10 mins or he will be late for class. Unfortunately he is snowed in. He can shovel the drivew
Leno4ka [110]
Since if he gets the driveway done in 20 minutes he gets 1/20th of the driveway done in 1 minute (if x=20 then x/20=1 by dividing both sides by 20) and if his brother gets 1/12th of the driveway done in one minute, then if t represents the time it takes to shovel the driveway, t/20+t/12=1 driveway shoveled as 1/20+1/12=amount they can do in 1 minute, so t/20+t/12 is how much they can do in t minutes. Multiplying both sides by 20*12=240, we get 12t+20t=32t=240. Dividing both sides by 32, we get 240/32=7.5 minutes to shovel the driveway.
7 0
3 years ago
A 3” x 5” photo is enlarged so that the length of the new photo is 7 inches. Find the width of the new photo.. a. 4.20 inches. c
Andrej [43]
As far as the old dimensions of the photo are concerned,
Width of the photo = 3"
Length of the photo = 5"
New length of the photo = 7 inches
Let us assume the new width of the photo = x inches
Then
3/5 = x/7
5x = 7 * 3
5x = 21
x = 21/5
   = 4.20 inches
So the correct option among all the options that are given in the question is the first option. I hope that the answer has come to your help.
3 0
2 years ago
Write an equation of a line containing (2, -3) and perpendicular to 3x+4y=14 answer
Sergio039 [100]

Answer:

Step-by-step explanation:

From the condition of perpendicularity, if two lines must be perpendicular to each other, the product of their gradient rather the slope must be equaled to ( -1 ).

Equation of a line ; y = mx+ c, where m1 is the gradient of the line and c us the point of intersection if the line on the y- axis.therefore, the equation

3x + 4y = 14, when re arranged, now becomes, 4y = -3x + 14, divide through by 4, gives, y = -3x/4 + 14.

Therefore, m1, = -3/4 and m2, = 4/3 going by the condition. Since the line passes through the coordinate of (2,3), where x = 2, and y = -3, then, substitute for x and y in y = mx+ c, minding the m2, to find C, therefore,

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Multiply through by 3 to make it a linear equation,

-9 = 8 + 3c; -9 - 8 = 3c, -17= 3c

c = -17/3.Now substitute for c in the equation ,y = mx+ c, the equation now becomes, y = 4x/3 - 17/3. Therefore the new equation is

3y = -4x - 17.

7 0
3 years ago
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