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umka21 [38]
2 years ago
13

in rectangle ABCD, BD and AC are diagonals and intersect at E. If BD = 84 units and AE = 6y, what is the value of y

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
3 0

Answer:

y = 7

Step-by-step explanation:

The diagonals of a rectangle are congruent and bisect each other, then

AC = BD , that is

AE + EC = BD [ AE = EC = 6y ]

6y + 6y = 84

12y = 84 ( divide both sides by 12 )

y = 7

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Multi step equation 12 threw 14 pls
slega [8]

The computation of the equation shows that the answers will be:

12. 340 units

13. 2(270) + (2 × x) = 690

14. x = 5

<h3>How to compute the equations?</h3>

12. The first equation that's given will be:

(13.50 × x) - (3.65 × x) = 3349

13.50x - 3.65x = 3349

9.85x = 3349

x = 3349/9.85

x = 340

The number to break even is 340 units

13. The equation that can be used to find the perimeter will be:

2(270) + (2 × x) = 690

540 + 2x = 690

2x = 690 - 540

2x = 150

x = 150/2 = 75

14. x + x + 2 + 8 = 20

2x + 10 = 20

2x = 20 - 10

2x = 10

x = 10/2

x = 5

Learn more about equations on:

brainly.com/question/2972832

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4 0
1 year ago
Read 2 more answers
Which of the following equations is written in standard form?
Harlamova29_29 [7]
Standard Form is ax + by = c, where a, b, and c are not fractions and a is not negative.

So, you can go through each of your options to see which ones work with those rules. 

A. 2.5x + 3y = 12   No, this is not in Standard Form. 2.5 can be rewritten as 2<span>\frac{1}{2}, menaing A is a fraction, which you can't have.

B. -10x - 3y = 1   No, this is not in Standard Form. A is -10, but A can't be negative.

C. 2x + 3y = 12   Yes, this is in Standard Form. It follows all of the rules.

D. 5x + 5y = 10   Yes, this is in Standard Form. It follows all of the rules.

So, C and D are both written in Standard Form.


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6 0
3 years ago
Who is correct? Thanks for the help
Aleksandr-060686 [28]
I believe Hector is correct

Explanation: for every 1 hour the income is $10, therefore working 32 hours will give you $320 as Hector stated, while working 18 hours will not give you $160 as Hannah stated, it will give you $180
4 0
2 years ago
Try to fill in the missing numbers
GrogVix [38]

9514 1404 393

Answer:

  [[274][895][136]]

Step-by-step explanation:

Starting with the middle row, we need a product of two single-digit numbers that is between 53-1 = 52 and 53-9 = 44. Possible products are 5×9=45 and 6×8=48. This means the number in the middle position in the left column must be 8 or 5.

The middle number in the left column cannot be 5, because we must be able to get -5 by subtracting that number from a sum that is at least 3 = 1+2. So, the middle number in the left column is 8, the other two numbers in that column are 1 and 2, and the other two numbers in the middle row are 5 and 9.

There is no product of single-digit numbers that is 30-1 = 29, so the upper left number must be 2, and the bottom left number must be 1. The other two numbers on the top row must be 4 and 7, so that row's equation is 2+4×7=30.

The only remaining digits are 3 and 6. In order to have -3 on the bottom row, the equation there must be 1×3-6 = -3. Then the middle digit must be divisible by 3, so must be 9.

Our solution is ...

row 1: 2 + 7 × 4 = 30

row 2: 8 + 9 × 5 = 53

row 3: 1 × 3 - 6 = -3

And that makes the column equations be ...

col 1: 2 - 8 + 1 = -5

col 2: 7 + 9 / 3 = 10

col 3: 4 × 5 - 6 = 14

6 0
3 years ago
Someone please help me on this!
Alexxx [7]

Answer & Step-by-step explanation:

This can be proven with the SAS theorem (side-angle-side)

With a perpendicular bisector, the line it bisects is cut directly in half. This creates two equal sides:

GJ=IJ

and it creates two 90° angles:

∠GJH=∠IJH

And because of the reflexive property of congruence:

JH=JH

Side-Angle-Side.

:Done

6 0
3 years ago
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