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zheka24 [161]
3 years ago
9

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:

<u>INFORMATION:</u>

The slope-intercept is when y=mx+b

mx=the slope

b=y-intercept

<u />

<u>REPHRASE EQUATION:</u>

y=mx+b

y=-3-x

y=(-1)x-3

<u>CONCLUSION:</u>

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
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