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gungamer720
19.04.2021 •
Mathematics
Can someone assist me with this?
![\frac{8}{3x - y} = \frac{5}{x + 3y \:}](/tpl/images/2297/7760/5e8b4.png)
Find the ratio of x to y.
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Ответ:
29: 7
Step-by-step explanation:
Cross multiply:
Expand bracket:
Bring x terms to 1 side, y terms to the other:
Simplify:
Divide by 7 on both sides:
Divide both sides by y:
∴ The ratio of x to y is 29:7.
Ответ:
Using the relation between angles and sides of any triangle the answer is:
Third option: WX, XY, YW
Step-by-step explanation:
<X=90° (right angle)
<W=51°
<Y=?
The sum of the interior angles of any triangle is 180°, then:
<W+<X+<Y=180°
Replacing the given values:
51°+90°+<Y=180°
141°+<Y=180°
Solving for <Y: Subtracting 141° both sides of the equation:
141°+<Y-141°=180°-141°
<Y=39°
The order of the angles from smallest to largest is:
<Y=39°, <W=51°, <X=90°
The opposite sides to these angles must be ordered in the same way:
Opposite side to <Y: WX
Opposite side to <W: XY
Opposite side to <X: YW
Then the order of the sides from smallest to largest is:
WX, XY, YW