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GuDViN [60]
3 years ago
15

How do I solve for n: 21k-3n+9p> 3p+12

Mathematics
1 answer:
Travka [436]3 years ago
5 0
21k-3n+9p\ \textgreater \ 3p+12\\21k+6p+12\ \textgreater \ 3n\\n\ \textless \ 7k+2p+4

n<7k+2p+4
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Find the values of the variables and the measures of the angles
Alekssandra [29.7K]

The angles of the triangle are 39°, 51°, and 90°.

Step-by-step explanation:

Step 1:

The sum of all the angles in any triangle is equal to 180°.

We have two of the three angles in terms of x while the third angle is not given directly. Since it is a right-angled triangle, one of the angles equals 90°.

So the angles of the triangle are 3x, 4x-1, and 90.

Step 2:

Now, we substitute all the angles to a sum of 180 to determine the value of x.

3x + 4x - 1 + 90 = 180.

7x = 91, x = \frac{91}{7} = 13.

So x = 13°. The angles are

3x = 3 (13) = 39, 4x-1 = 4(13) - 1 = 51.

The angles of the triangle are 39°, 51°, and 90°.

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3 years ago
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The length of a rectangle is 1ft less than 3 times the width. There is 310 ft squared.Find the dimension of the rectangle.
lozanna [386]

Answer:310

Step-by-step explanation:

l=-1+3w

l=3w-1

l*w=310

(3w-1)*w=310

3w^2-w-310=0

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w= 10 1/3

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3 years ago
$7 is what percent of $10?
malfutka [58]
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Hiya please leave formulas x
Mekhanik [1.2K]

Answer:

angle c = 107°

angle b = 107°

angle a = 73°

Step-by-step explanation:

Given:

Two line XY and WZ intersect each other and make four angle [a, b, c, d]

Given that Angle d = 73°

Find:

angle a

angle b

angle c

Computation:

We know that angle c and angle d situated on same line XY

So,

angle c + angle d = 180°

angle c + 73° = 180°

angle c = 107°

We know that angle b and angle d situated on same line WZ

So,

angle b + angle d = 180°

angle b + 73° = 180°

angle b = 107°

angle a and angle d are vertical opposite angle

So,

angle a = angle d

angle a = 73°

5 0
2 years ago
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