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(180/9 * 1) + (180/9 * 3) + (180/9 * 5) = 180º

I understand. Thank you so much!

Thanks, Alan  !!!!!

If  I understand what  you're  asking

Look at the  graph here :  https://www.desmos.com/calculator/mqxce8lgk4

This graph  will  approach  0 as x increases from 3   (but never quite gets there)...so.....the lowest integer value  for  f(x)  = y = 1

And note that when  y = 1,  then x has the real number value  (5)

Note  that  when  x = -4  and y = 4   the equation will be  true

And when x = 4  and y = -4  the equation will also be true

So.....the points  ( -4,4)  and ( 4,-4) will be  on the graph

The  slope is  [ -4-4 ] / [4 - -4 ]  = -8 / 8  =   -1

Algebraically....we can see that

x/4  + y/4  =  0

[4x + 4y] / [xy] = 0     multiply through by xy

4x + 4y  = 0     divide through by 4

x + y =  0   rearrange as

y =  -x

So...this confirms that the slope is -1

Since    XZ/XY  = 1/2     and  ZY/XY  = 1/2......we can see that  Z is  the midpoint  of XY

To find this point  we  have that

x value of Z  =  [ x yalue  of X  +  x value of Y ] / 2

-1  =  [ x value of X +  1 ] / 2   multipy both sides by 2

-2  = x value of X + 1      suvtract 1 from  both sides

-3 = x value of  X

Also

y value of of Z =  [ y value of X  + y value of Y ] / 2

- 7 =  [ y value  of X  +   7]  /  2    multiply both sides by 2

-14 =  y value of X  + 7    subtract 7 from both sides

-21 = y value of X

So  X =  (-3, -21)     and the sum of the its coordinates =   -24

I believe this question was answered by CPhill before: https://web2.0calc.com/questions/suppose-nbsp-nbsp-is-a-polynomial-such-that-nbsp-nbsp-nbsp-and-nbsp-what-is-the-sum-of-the-coefficients-of-nbsp

I hope this helped!

Caffeine :)

If we draw the diagram, we can see that BD is the height of triangle ABC. This gives us: A = 1/2(AC)*(BD).
Plugging in the numbers we get: 150 = 1/2*(25)*(BD).

We can solve this to get BD = 12.

Hope this helped!

Caffeine :)

Here's one way of solving this.....

Note that from a point ourside a circle, two tangents  drawn  to a  circle have the same length

We have two circles

One  has the equation x^2  + (y-8)^2   =  64    [ this is the inscribed circle ]

The  other  has the equation   (x - 10)^2  + y^2  = 100

Solving these two equations for their intersections  we  have  that   (x,y)  = (320/41, 400/41) = point C  in the figure below

We have two points  (10,0)  and (320/41, 400/41)

The slope  of this tangent line  to the inscribed circle   =  (400/41 - 0) / ( 320/41 -10)  = (400/41) / ( -90/41)  =

-400/90 =  -40/9

So.....the equation of this tangent line through these rwo points is

y = (-40/9) ( x - 10)

y =( -40/9)x  + 400/9

Since the  inscribed circle touches the top of the trapezoid, the line will pass through  y= 16

So....to find the x value at this point  we can solve this

16 =  (-40/9)x  + 400/9

16 - 400/9  = (-40/9)

-256/9 =  *(-40/9)

-256/-40  =  6.4

Double this to find the  upper base length  =  12.8   [ your answer is  correct  !!!  ] 

See the following figure  :

Lol i practiced got a 23/25 but scored a 13/25 on the real test. That is because of nerves and i was not focused! #1 thing is nerves and focus! Don't panic like I did!

 - AnExtremelyLongName

We can write the problem like this:

3 mi/1 hr = 6 mi/x hrs

Then we can cross multiply to get 3x = 6. This gives us x = 2 hrs.

2 hours

That's a quicker way, but I think it's better if they understand how to do it.

14 out of 70

14/70  * 100% =  20 %

i think since it is an isosceles trapezoid and that is a right trapezoid it might not be correct

Let's start by making a fraction. 

I'll start by giving a tip for these problems. Whenever you do these problems, the fraction should be written as \(\frac{\text{number}}{\text{total}}\)

Here, we have a known number, 14, which is the number of strikes. Therefore, 14 should be the numerator. If she had 70 attempts, then that means she tried 70 times to bowl. So, 70 would be our denominator, our total. Now we can solve:

\(\frac{14}{70} \implies \frac{14 \div 7}{70 \div 7} \implies \frac{2}{10} \implies 0.2\)

The fraction equals 0.2, but that's not a percentage. To find percentage from a decimal, we multiply by 100, so we get:

\(0.2 \cdot 100 \implies \boxed{20\%}\)

(sorry if i'm not allowed to answer, i'm new.)

xxxxxxxx

Like so

You found 1/6 th of them in 100   ....    to get all 6/6 ths of them you would think 600 people in school.

Thanks.....I have a feeling that there is  some easy algorithm available to derive mods of negative integers, but I do not know what it is......

Oh i guess that makes sense

To be honest im not sure so I hope these help in anyway.

The question mark will be the mean of the three test values, namely (5.8 + 6.2 + 7.9)/3, with the result rounded to one decimal place.

In the first instance try plotting the diameters on the x-axis and the corresponding mean values on the y axis. 

Connect RA  and  SA

Note that since  RA  = SA   (they are both radii)  then triangle RAS  is isosceles

So  angle  SRA = angle TRA=    [ 180  - angle RAS  ]  / 2 =    [ 180 -74 ]  / 2  =   90 - 37  =  53°

And angle RTB = angle RTA

And considering  triangle RAT,   by the exterior angle theorem,  angle    RAB =  angle TRA  +  angle RTA 

Angle RAB = 53  + 23  =  76°

But angle  RAB  is a central angle  equaling the measure of  minor arc BR  =  76°