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strojnjashka [21]
2 years ago
14

Find 2 consecutive integers that the sum is 149?

Mathematics
1 answer:
disa [49]2 years ago
7 0
Write an equation. To do this, make one integer equal to x, and the other equal to x+1. Set these equal to 149. Your equation should read x+(x+1)=149. Solve. To do this, add the two x's together. Your equation is now 2x+1=149. Get your x's alone. First, subtract 1 from both sides. Now the equation is 148=2x. Divide both sides by 2 to get x alone. You now have x=74. Plug this value back into the original equation to find your value for the other integer, and you have the two integers as 74 and 75. Hope this helps!
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Please provide an answer
Igoryamba

Answer:

Step-by-step explanation:

The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).

Use the opposite angles in an inscribed quadrialteral theorem,

<A + <C = 180

Substitute,

14x - 7 + 8z = 180

Simplify,

22z - 7 = 180

Inverse operations,

22z = 187

z = \frac{187}{22}

Simplify,

z = \frac{17}{2}

Now substitute the value of (z) into the expression given for the measure of angle (<B)

<B = 10z

<B = 10(\frac{17}{2})

Simplify,

<B = 85

Use the opposite angles in an inscribed quadrilateral theorem to find the measure of (<D)

<B + <D = 180

Substitute,

85 + <D = 180

Inverse operations,

<D = 95

8 0
2 years ago
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3 years ago
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Hello everyone, I have this question. Please help me.
kobusy [5.1K]

Answer:

7 reservoirs

Step-by-step explanation:

1 yards = 3 feet => 3.5 yards = 10.5 feet

To determine how many numbers of reservoirs to reserve 90000, we first need to determine the capacity of each reservoirs (how much liquid one reservoir can contain) - which is equal to the volume.

The formula to calculate the volume of a circular cylinder is:

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<em />

The base of this cylinder is a circle with radius equal to 4 feet. (\pi = 3.14)

=> The are of the base is = \pi *radius^{2} = 3.14 x 4^2 = 50.24 feet square

=> The volume of cylinder = Area of base x Height

=> The volume of one cylinder = 50.24 x 10.5 = 527.52 Cubic foot

We have: 1 cubic foot = 28.317 liters

=> 1 liter = 1/28.317 cubic foot

=> 90000 liters equal to: 90000/28.317 = 3,178.303 cubic foot

The number of reservoirs needed to contain 90000 liters of liquid is:

3,178.303/527.52 = 6.025

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5 0
3 years ago
X+3/2 + (x-1) = 4/5 ​
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Answer:

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Step-by-step explanation:

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Answer:

attached below

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Attached below is a detailed solution to your problem above

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