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ruslelena [56]
3 years ago
13

I cant find the value of x

Mathematics
1 answer:
Aloiza [94]3 years ago
6 0

Answer:

8+6x=30+4x+2 The answer is 12

Step-by-step explanation:

Reason - The sum of opposite interior of a triangle is equal to opposite exterior angle .

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I need to find the area of my shape
k0ka [10]

Answer:

Formula for area of triangle:

A = bh x 1/2

Formula for area of parallelogram:

A = bh

Now find the area of the figure above which is a triangle:

3(base) x 8(height) x 1/2 = <em>12</em>

Let's find the area of the parallelogram;

6(height) x 9(base) = <em>54</em>

Add the two areas together:

12 + 54 = 66 cm2

6 0
2 years ago
Find the measurements (the length L and the width W) of an inscribed rectangle under the line with the 1st quadrant of the x &am
Leni [432]

The question is incomplete. Here is the complete question.

Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = -\frac{3}{4}x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.

Answer: L = 1; W = 9/4; A = 2.25;

Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:

A = x.y

A = x(-\frac{3}{4}.x + 3)

A = -\frac{3}{4}.x^{2}  + 3x

To maximize, we have to differentiate the equation:

\frac{dA}{dx} = \frac{d}{dx}(-\frac{3}{4}.x^{2}  + 3x)

\frac{dA}{dx} = -3x + 3

The critical point is:

\frac{dA}{dx} = 0

-3x + 3 = 0

x = 1

Substituing:

y = -\frac{3}{4}x + 3

y = -\frac{3}{4}.1 + 3

y = 9/4

So, the measurements are x = L = 1 and y = W = 9/4

The maximum area is:

A = 1 . 9/4

A = 9/4

A = 2.25

6 0
3 years ago
Fifteen more than a number is written as...?
frozen [14]

Answer:

x + 15

Step-by-step explanation:

Since I don't know what this number is, I'm going to use the variable x to substitute for the value of the unknown number.

So it would just be x + 15 because addition is the operation of adding and the key words are usually more. Since one of the numbers is unknown, we can't get an answer like "100" because x is undefined.

Say x=100, then the number would be written as 115 in it's simplest form but you could also write it as 100+15. So I'm just using substitution.

3 0
3 years ago
Read 2 more answers
Hi everyone! I have a question!
Tju [1.3M]

Answer:

7π

Step-by-step explanation:

SO first find the area of the whole circle

which has a radius of 3

a=πr^2

So 3^2=9

9π

Now the two circles which are the same in area due to having the same radius

so if you plug in the 1 for radius the answer would just be π or 1π

now multiply that by 2 becuase there are 2 identical circles

π*2=2π

Now subtract

9π-2π=7π

3 0
3 years ago
Read 2 more answers
An 18-foot ladder touches a building 14 feet up the wall. What is the angle measure, to the nearest degree, of the ladder to the
kondor19780726 [428]
Trigonometry can be used to find angles and sides of simple triangles. If an 18-foot ladder touches a building 14 feet up the wall then the angle can be deduced by trigonometry. In this case, the ladder defines the hypotenuse (H) of the triangle and the wall defines the opposite (O) side of the triangle. Therefore we can use the equation theta=sin^-1(O/H) . This yields an angle of 51 degrees. 
5 0
3 years ago
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