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2 years ago

The perimeter of the triangle below is 10x - 3 Show how to solve

Mathematics

1 answer:

bezimeni [28]2 years ago

4 0

10x - 3 = x + 2 + 2x - 1
10x - 3 = 3x + 1
-3x on both sides
7x - 3 = 1
-1 on both sides
7x - 4

(Check 7x - 4 by adding them all up to equal 10x - 3)
x + 2 + 2x - 1 + 7x - 4 = 10x - 3
combine liked terms
10x - 3 = 10x - 3

Answer:
D) 7x - 4

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6x + 3y + z = 21<br> y = 7x + 8z - 29<br> -6y - 8z = 6

kicyunya [14]

Answer:

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Step-by-step explanation:

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2 years ago

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The sum of the measures of two adjacent angles is 72 degrees. The ratio of the smaller angle to the

Goryan [66]

Answer:

The larger angle is 54°

Step-by-step explanation:

Given

Let the angles be: θ and α where

θ > α

Sum = 72

α : θ = 1 : 3

Required

Determine the larger angle

First, we get the proportion of the larger angle (from the ratio)

The sum of the ratio is 1 + 3 = 4

So, the proportion of the larger angle is ¾.

Its value is then calculated as:.

θ = Proportion * Sum

θ = ¾ * 72°

θ = 3 * 18°

θ = 54°

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2 years ago

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2 years ago

A mixture of acid and water is 35% acid if the mixture contains a total of 40 liters how many liters of pure acid are in the mix

melamori03 [73]

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7 0

2 years ago

Use the model below to estimate the average annual growth rate of a certain country's population for 1950, 1988, and 2010, where

Morgarella [4.7K]

Answer:

The average annual growth rate of a certain country's population for 1950, 1988, and 2010 are 2.398, 0.9985 and 0.2236 respectively.

Step-by-step explanation:

The given equation is

$Y=-0.0000084x^3+0.00211x^2-0.205x+8.423$

Where Y is the annual growth rate of a certain country's population and x is the number of years after 1900.

Difference between 1950 and 1900 is 50.

Put x=50 in the given equation.

$Y=-0.0000084(50)^3+0.00211(50)^2-0.205(50)+8.423$

$Y=2.398$

Therefore the estimated average annual growth rate of the country's population for 1950 is 2.398.

Difference between 1988 and 1900 is 88.

Put x=88 in the given equation.

$Y=-0.0000084(88)^3+0.00211(88)^2-0.205(88)+8.423$

$Y=0.9984752\approx 0.9985$

Therefore the estimated average annual growth rate of the country's population for 1988 is 0.9985.

Difference between 2010 and 1900 is 110.

Put x=110 in the given equation.

$Y=-0.0000084(110)^3+0.00211(110)^2-0.205(110)+8.423$

$Y=0.2236$

Therefore the estimated average annual growth rate of the country's population for 2010 is 0.2236.

8 0

2 years ago