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2 years ago

If DF=7x-3 and EG=5x+9, find the value of X

Mathematics

1 answer:

PilotLPTM [1.2K]2 years ago

3 0

Answer:

$x=6$

Step-by-step explanation:

Using the given measurements of the angles and the lengths of the sides, we can determine that this figure must be a rectangle.

Diagonals of a rectangle are always equivalent/congruent.

We can use this information to set up an equation:

$DF=EG\\7x-3=5x+9$

Add 3 to both sides:

$7x-3+3=5x+9+3\\7x=5x+12$

Subtract 5x from both sides:

$7x-5x=5x-5x+12\\2x=12$

Divide both sides by 2

$\frac{2x}{2}=\frac{12}{2}\\x=6$

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Find the sum. Homework: 9.4 arithmetic series

RUDIKE [14]

Answer:

Step-by-step explanation:

a1 = 3(1) - 7 = - 4

a2 = 3(2) - 7 = -1

d = a2 - a1

d = -1 - (-4)

d = -1 + 4

d = 3

a60 = 3(60) - 7

a60 = 180 - 7

a60 = 173

n = 60

Sum = (a1 + a60) * n / 2

Sum = (-4 + 173) * 60/2

Sum = (169)*30

Sum = 5070

==================

Just to check, we'll use the second summation formula

d = 3

n = 60

a1 = -4

Sum = (2*a1 + (n - 1)*d )*n / 2

Sum = (2*(-4) + (60 -1)*3)* 60/2

Sum = (-8 + 59*3) * 30

Sum = (177 - 8)*30

Sum = 169 * 30

Sum = 5070

Same answer.

5 0

3 years ago

There are 37 more cats than dogs in an animal shelter. If there are 78 cats at he shelter, how many dogs are there?

Sloan [31]

There are 41 dogs in the shelter

8 0

4 years ago

Read 2 more answers

Whats the square root of 9

kolezko [41]

There are two solutions to this question, one is positive and the other is negative:
$\sqrt{9} =3\ or\ -3$

7 0

3 years ago

Qt + a = -1 when q = 3 and t = 4

Pachacha [2.7K]

Answer:

$a=-13$

Step-by-step explanation:

We can use substitution to find the value of $a$ :

$qt+a=-1$

$3(4)+a=-1$

$12+a=-1$

$a=-13$

Hope this helps :)

5 0

3 years ago

Lucy and Emily are racing with each other and Lucy is 90

Zina [86]

Using the system of equation created, Emily will catch up Lucy after 30 seconds

Given the Parameters :

Lucy's distance = 2t
Emily's distance = 5t

We can set up an equation to represent the required scenario thus :

Emily's distance = Lucy's distance + 90

5t = 2t + 90

We solve for t

Collect like terms :

5t - 2t = 90

3t = 90

Divide both sides by 3 to isolate t

t = 90/3

t = 30

Therefore, Emily will catch up with Lucy after 30 seconds

Learn more :brainly.com/question/13218948

8 0

2 years ago