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3 years ago

Can you solve for x for this shape?

Mathematics

2 answers:

mr Goodwill [35]3 years ago

8 0

An exterior angle of a triangle is equal to the sum of the two angles opposite to it. So we have:

$\sf 6x+1+20=9x-6$

Now just solve for 'x'. First, simplify:

$\sf 6x+21=9x-6$

Add 6 to both sides:

$\sf 6x+27=9x$

Subtract 6x to both sides:

$\sf 27=3x$

Divide 3 to both sides:

$\boxed{\sf x=9}$

Ilia_Sergeevich [38]3 years ago

5 0

Hi my friend
6x + 1 + 20 = 9x - 6 (exterior angle of triangle)
3x = 27
x = 9
hope it helps☺

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NEED HELP NOW

umka2103 [35]

The area of a trapezoid is the height times the average of the two bases, mathematically:

A=h(b1+b2)/2, in this case h=6in, b1=9in, and b2=7in so

A=6(9+7)/2

A=6*16/2

A=48in^2

7 0

3 years ago

Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre

andrew-mc [135]

Answer:

The area function is

$A=\frac{135}{2}x-\frac{9}{2}x^2$ .

The domain and range of A is $(0,15m)$ and $(0, 253.125 m^2]$ .

Step-by-step explanation:

The given length of fencing is $90 m$ .

Let the length and width of each pen be $x$ and $y$ respectively as shown in the figure.

As there are 3 pens, so, the total area,

$A= 3 xy \;\cdots (i)$

From the figure the total length of fencing is $6x+4y$ .

Here, for a significant area for the animals, $x>0$ as well as $y>0$ as $x$ and $y$ are the sides of ben.

From the given value:

$6x+4y=90\;\cdots (ii)$

$\Rightarrow y=\frac {45}{2}-\frac{3x}{2}$

Now, from equation (i)

$A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)$

$\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)$

This is the required area function in the terms of variable $x$ .

For the domain of area function, from equation (ii)

$x=15-\frac{2y}{3}$

$\Rightarrow x$ [as y>0]

So, the domain of area function is $(0,15m)$ .

For the range of area function:

As $x \rightarrow 0$ or $y\rightarrow 0$ , then $A\rightarrow 0$ [from equation (i)]

$\Rightarrow A>0$

Now, differentiate the area function with respect to $x$ .

$\frac {dA}{dx}=\frac{135}{2}-9x$

Equate $\frac {dA}{dx}$ to zero to get the extremum point.

$\frac {dA}{dx}=0$

$\Rightarrow \frac{135}{2}-9x=0$

$\Rightarrow x=\frac{15}{2}$

Check this point by double differentiation

$\frac {d^2A}{dx^2}=-9$

As, $\frac {d^2A}{dx^2}$ , so, point $x=\frac{15}{2}$ is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

$A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2$

$\Rightarrow A=253.125 m^2$

Hence, the range of area function is $(0, 253.125 m^2]$ .

4 0

3 years ago

Question 6. Which expression is equivalent to this expression? x(2x + 3)

suter [353]

Answer:

The answer is D

You have to distribute the x to the 2x + 3 equation

This will result in 2x^2 + 3x

5 0

2 years ago

Read 2 more answers

How many meters did a fish swim in 8 minutes at a speed of s meters per minute?

ch4aika [34]

Answer:

Distance traveled by the fish = 8s meters

Step-by-step explanation:

Speed of a fish to swim = s meter per minute And formula used for the speed, Speed = s = Distance = s × time We have to find the distance covered by the fish in 8 minutes (t = 8 minutes) Therefore, Distance traveled by the fish = 8s meters

I Hope This Helps You! <3

5 0

2 years ago

Y=-3 - x, how to draw the graph

adell [148]

Answer: See attachment below (graphing)

Step-by-step explanation:

INFORMATION:

The slope-intercept is when y=mx+b

mx=the slope

b=y-intercept

REPHRASE EQUATION:

y=mx+b

y=-3-x

y=(-1)x-3

CONCLUSION:

Slope=-1

Y-intercept=-3

Hope this helps!! :)

Please let me know if you have any questions

6 0

2 years ago

Read 2 more answers