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KiRa [710]
3 years ago
12

Find the value of x and y in the given parallelogram

Mathematics
1 answer:
frez [133]3 years ago
6 0

Answer:

Step-by-step explanation:

9y-4 = 50

9y = 54

y= 6

9y-4+7x+xy = 180

9(6)-4+7x+6x= 180

54-4+13x = 180

13x+50 = 180

13x = 130

x = 10

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astra-53 [7]
8/9 divided by 2/3 is 4/3
4 0
3 years ago
Which equation represents a population of 370 animals that decreases at an annual rate of 11% ?
kati45 [8]

The equation represents a population of 370 animals that decreases at an annual rate of 11% is p=370(0.89)^{t}.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly decreases and the value of the exponential function is always positive. It denotes with exponent y = a^x

where a is a constant and a>1.

Given that,

A population of 370 animals that decreases at an annual rate of 11%

a = 370, r = 11%

p = a(1-r)^{t}

 =  370(1-0.11)^{t}

p  =  370(0.89)^{t}

Hence, The equation represents a population of 370 animals that decreases at an annual rate of 11% is p=370(0.89)^{t}.

To learn more about exponential function from the given link:

brainly.com/question/24429075

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7 0
2 years ago
The GCF of the numbers in the expression (32 + 16)
katrin [286]
If you break it down you will find it

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3 0
3 years ago
Read 2 more answers
Please help me out.....................
larisa86 [58]

Answer:

y = 10

Step-by-step explanation:

The opposite sides of a parallelogram are congruent, hence

x + 10 = 110 - 4x ( add 4x to both sides )

5x + 10 = 110 ( subtract 10 from both sides )

5x = 100 ( divide both sides by 5 )

x = 20

Using the other pair of congruent sides, then

3y - 10 = 2x - 20 = (2 × 20) - 20 = 40 - 20 = 20, thus

3y - 10 = 20 ( add 10 to both sides )

3y = 30 ( divide both sides by 3 )

y = 10

4 0
3 years ago
Factored form of 2x^2+x-3 must show work
frozen [14]

Answer:

(2x+3)(x - 1)

Step-by-step explanation:

Since there is no common number to factor by we must approach this problem differently:

Step 1:

Multiply leading coefficient (2) by the constant term (-3)

2 x -3 = -6

Step two:

Find two numbers that multiply to -6 but add to the middle coefficient (1).

You should find these numbers to be 3 and -2

Step 3:

Replace 1x in the equation with your found numbers

2x^2 - 2x + 3x - 3

Step 4:

Take out the greatest common factor from the first two numbers, and the last two numbers.

For 2x^2 - 2x the greatest common factor would be 2x

For 3x - 3 the greatest common factor would be 3.

Step 5:

Factor out the found common factors

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The values inside the bracket should be the same.

Step 6:

Factor out (x-1)

(x - 1)(2x + 3)

Therefore the factored form is (2x + 3)(x - 1)

4 0
3 years ago
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