3 years ago

A student describe the triangle within a semi circle what is a measure of XYZ

Mathematics

2 answers:

Zina [86]3 years ago

7 0

90 is the measure of XYZ

frutty [35]3 years ago

6 0

Any triangle inscribed in a semi circle is a RIGHT Triangle.

(I don't see any photo) . In this case if xy is the diameter then Angle Y =90°

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What two numbers multiply to get 25 and add to -10

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$x;\ y-the\ numbers\\\\ \left\{\begin{array}{ccc}xy=25\\x+y=-10&\to x=-10-y\end{array}\right\\\\subtitute:\\(-10-y)y=25\\(-10)(y)-y(y)=25\\-10y-y^2=25\\-y^2-10y-25=0\ \ \ \ |change\ the\ signs\\y^2+10y+25=0\\y^2+5y+5y+25=0\\y(y+5)+5(y+5)=0\\(y+5)(y+5)=0\\(y+5)^2=0\iff y+5=0\to \boxed{y=-5}\\\\subtitute\ the\ value\ of\ y\ to\ the\ equation\ x=-10-y\\x=-10-(-5)\\x=-10+5\\\boxed{x=-5}\\\\Answer:\boxed{-5\ and\ -5}$