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Helga [31]
3 years ago
7

•In a rhombus one angles is 3x+6 and the other one is 8x+7..

Mathematics
1 answer:
gtnhenbr [62]3 years ago
5 0
In a rhombus, opposite angels are equal.

So we have :

8x + 7 = 3x + 6 \\ 5x =  - 1 \\ x =  \frac { - 1}{5}
Hope it helps !
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Can you solve the equation 2/3(4x - 5)= 8 by using the division property of equality? explain.
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i have two points, (3,5) and (2,18) i need to find the exponential equation using these points. how do i do this?
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Answer:  y = (5832/25)*(5/18)^x

==========================================================

Explanation:

Any general exponential function is of the form

y = a*b^x

Plug in (x,y) = (3,5) and we get

y = a*b^x

5 = a*b^3

If you plug in (x,y) = (2,18), then we'll get this other equation

18 = a*b^2

-------------------

So we have this system of equations

\begin{cases}5 = ab^3\\18 = ab^2\end{cases}

From here, we divide the two equations straight down. The left hand sides divide to 5/18. The right hand sides divide to (ab^3)/(ab^2) which simplifies to b. The 'a' terms cancel and we subtract the exponents for the b terms.

Overall, we end up with b = 5/18

---------------------

Use that value of b to find 'a'

18 = a*b^2

18 = a*(5/18)^2

18 = a*(25/324)

18*(324/25) = a

a = 5832/25

You could use the other equation as well to find 'a'

----------------------

Therefore, the equation in y = a*b^x form is y = (5832/25)*(5/18)^x

To verify this, plugging in x = 3 should lead to y = 5. Similarly, plugging in x = 2 should lead to y = 18.

5 0
3 years ago
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