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A straight angle means the angle is \(180^\circ\)

Therefore, we can set up the equations to add up to \(180^\circ\)

\(8x-41^\circ+9x+17^\circ=180^\circ\) 

Combining like terms, we get \(17x-24^\circ=180^\circ\). We can add \(24^\circ\) to each side to get \(17x=204^\circ\). Therefore, \(x=12^\circ\)

Plugging this back into the \(m\angle{CBD} \) equation, we get \(9x+17^\circ=9(12^\circ)+17^\circ=\boxed{125^\circ}\)

\(104\% \cdot x = 598\), where \(x\) will be our answer. We can express \(104\%\) as a fraction out of \(100 \). This is equal to \(\frac{104}{100} = \frac{26}{25}\). Therefore, \(\frac{26}{25} \cdot x = 598\). We multiply each side by \(25\) to get rid of the fraction on the left hand side. Therefore, \(26 \cdot x = 598 \cdot 25\). Now, we will divide each side by \(26\), so we can isolate \(x\). 

\(x = \frac{598 \cdot 25}{26}\)

Now it's simple arithmetic. This yields the answer of \(\boxed{575}\)

If 0 text messages are sent, the total cost, is:

35+0.08(0)=35.

If 10 text messages are sent, the total cost, is:

35+0.08(10)=35+0.8=35.80

If 40 text messages are sent, the total cost, is:

35+0.08(40)=35+3.2=38.20

If 70 text messages are sent, the total cost, is:

35+0.08(70)=35+5.6=40.60.

Yeah...what graph?

104% is aso 104/100. We can form an equation.

\(\frac{104}{100}x=598\\ 104x=59800\\ x=575\)

Therefore x=575.

tysmmm

If the answers seem to be correct, maybe check the way you formatted your answer? A lot of times, people format the answer incorrectly, and the website reads it in a different way.

I found an excellent answer from CPhill:

https://web2.0calc.com/questions/find-constants-a-and-b-such-that-for-all-x-such-that

Hope this helped!

Caffeine :)

Hope this helped!

Caffeine :)

Thank you so much EP!

Everyone makes mistakes sometimes and it's OK. We all learn from it :)

However, I found the link to your question (asked by someone else) with a pretty good explaination:

https://web2.0calc.com/questions/find-a-polynomial-f-x-of-degree-5-such-that-both

Hope this helped!

Caffeine :)

i also need to show the work for marks 

https://web2.0calc.com/questions/analytic-geometry-and-reflections-please-explain#r1

We have drawn two lines  5x-2y=10, 3x+4y=12 on the graph.

We got two three points which forms triangle A, B,  C.

A is at y= 0 on line 5x-2y=10,

= > 5x=10

=> x = 2

=> A(2,0)

Now,  B is on line  3x+4y=12 , at y=0 ,

=> x = 4

=>B (4,0)

Then, C is at point of intersection of both lines 3x+4y=12 and 5x-2y=10.

That is,  Using Elimination method,

2*(5x-2y)=2*10

=>10x-4y=20

=>(3x+4y)= 12

+

= >13x=32

=>x=32/13

Substituting in any line out of two,  we get y = 15/13 .

C(32/13,15/13)

Hence,  Area of triangle is 15/13 sq. units.

(By the way this is someone else's answer, not mine. I do not take credit for the detailed explanation.)

Hope this helped!

Caffeine :)

Those are ALL equations of lines and thus have infinte solutions .....   or did you mean those as SETS of equations?

The first set is the same equation....infinite solutions

  the second set is two different lines ...parallel lines   no solutions

For volume, the formula is length*width*height, for example, in (c), we have the length, 3, multiplied by the width, 6, multiplied by 2 (which is the height). This gives us 36 cm^3 as our answer.

For surface area, you find the area of each side, then add the areas up. In (c), we have two sides with 6*3 as the area, two sides with 6*2 as the area, abd 2 sides with 3*2 as our area. This gives us (6*3)+(6*3)+(6*2)+(6*2)+(3*2)+(3*2) = 72 cm^3 as the surface area.

You can do this with the rest of the rectangular prisms.

Hope this helped!

Caffeine :)

I believe I found your question here:

https://web2.0calc.com/questions/if-f-x-is-a-polynomial-of-degree-7-and-g-x-is-a-polynomial

Thank you so much! Your explanation really helped!

Side p =  24 cm.

Side q ≈  13.266 cm.            q = sqrt(24² - 20²)

Side r =  20 cm.

Write the trigonometric ratios, in simplified form, for angle R and angle Q.

sin R  = r / p

cos R  = q / p

tan R  = r / q

sin Q  = 

cos Q  = 

tan Q  = 

You can do the last three.

This question has been answered!!!

https://web2.0calc.com/questions/can-someone-help-me-soon

the answers where all incorrect even when I worked through them myself I couldn't find the mistake

See answer #2 by heureka to a very similar question here:  https://web2.0calc.com/questions/pls-help-on-part-b

P.S. I can give you the values of w, x, y and z if that helps in any way.

John   400 miles  / 80 m/hr = ....... hr

Dad    400 miles / 50 m/hr  = ........ hr       you can take it from here !    

Let us furst square both sides. This will give us a^2(n+1)=b^2(n-1). From here, we can subtract a^2 from both sides: na^2+a^2=nb^2-b^2 turns into na^2=nb^2-b^2-a^2.

Now, we can subtract nb^2 from both sides and get na^2-nb^2=-b^2-a^2.Now, factor out the n and divide both sides by a^2-b^2. Therefore, n in terms of b and a is: \(\frac{-b^2-a^2}{a^2-b^2}\)

okay, thanks