Answer:
15+6+2=23
Step-by-step explanation:
![\sqrt[3]{\frac{9\sqrt{5}}{2\sqrt{3}}\cdot\frac{5\sqrt{2}}{8\sqrt{2}}}\\=\sqrt[3]{\frac{9\sqrt{5}}{2\sqrt{3}}\cdot\frac{5}{8}}\\=\sqrt[3]{\frac{45\sqrt{5}}{16\sqrt{3}}}\\=\sqrt[3]{\frac{45\sqrt{15}}{16}}\\=\sqrt[3]{\frac{3\cdot\sqrt{15^3}}{16}}\\=\frac{\sqrt[3]{3}\cdot\sqrt{15}}{2\cdot\sqrt[3]{2}}\\=\frac{\sqrt[3]{6}\cdot\sqrt{15}}{2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B9%5Csqrt%7B5%7D%7D%7B2%5Csqrt%7B3%7D%7D%5Ccdot%5Cfrac%7B5%5Csqrt%7B2%7D%7D%7B8%5Csqrt%7B2%7D%7D%7D%5C%5C%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B9%5Csqrt%7B5%7D%7D%7B2%5Csqrt%7B3%7D%7D%5Ccdot%5Cfrac%7B5%7D%7B8%7D%7D%5C%5C%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B45%5Csqrt%7B5%7D%7D%7B16%5Csqrt%7B3%7D%7D%7D%5C%5C%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B45%5Csqrt%7B15%7D%7D%7B16%7D%7D%5C%5C%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3%5Ccdot%5Csqrt%7B15%5E3%7D%7D%7B16%7D%7D%5C%5C%3D%5Cfrac%7B%5Csqrt%5B3%5D%7B3%7D%5Ccdot%5Csqrt%7B15%7D%7D%7B2%5Ccdot%5Csqrt%5B3%5D%7B2%7D%7D%5C%5C%3D%5Cfrac%7B%5Csqrt%5B3%5D%7B6%7D%5Ccdot%5Csqrt%7B15%7D%7D%7B2%7D)
we want it in the form of
, so a = 15, b=6, c=2
also this is the minimum possible value, as we cannot simplify it further
<span>1)
11x+5y=20
2x+5y=-25
multiply the second equation by - 1 and add the result with the first equation:
11x + 5y = 20
- 2x - 5y = 25
-------------------
9x = 45
=> x = 45 / 9
=> x = 5
Replace in </span><span>2x+5y=-25
=> 2(5) + 5y = - 25
5y = - 25 - 10
5y = - 35
y = - 35 / 5
y = - 7
2)
3x+7y=-21
3x-7y=63</span>
Add the two equations:
3x + 3x + 0 = - 21 + 63
6x = 42
=> x = 42 / 6
=> x = 7
Replace in <span>3x-7y=63
3(7) - 7y = 63
=> 7y = 21 - 63
=-> 7y = - 42
=> y = - 42 / 6
=> y = - 7</span>
Answer:

Step-by-step explanation:
If AB = AD, then you have that triangle ABD is an isosceles triangle (it has two equal sides). If it is isosceles, then the angles opposite to angles those equal sides must be equal. Then angle ADB =
. and by the property of all internal angles of a triangle have to add to
, we get that:

Answer: The answer is (5(x-1))/3x
Step-by-step explanation:
5x² - 5/ 3x² + 3x
= 5(x+1)(x-1) all over 3x(x+1)
= 5x - 5 over 3x
Hope this info helps
She has 21 out of 21/28 marbles left. So 21 ÷ 28 = .75. To convert a decimal to a percent, multiply by 100. .75*100=75