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2 years ago

The lengths of the sides of triangle XYZ are written in terms of the variable m, where m ≥ 6.

Mathematics

2 answers:

ankoles [38]2 years ago

8 0

Answer:

$m\angle Y$

Step-by-step explanation:

In triangle XYZ, the lengths of sides are

$XY=m+8;$
$YZ=2m+3;$
$XZ=m-3.$

If $m\ge 6,$ then

$m+8\ge 14;$
$2m+3\ge 15;$
$m-3\ge 3$

and

$m-3\le m+8\le 2m+3$

The greatest angle is opposite to the greatest side, the smallest angle is opposite to the smallest side, so

the greatest side is $YZ=2m+3$ - the greatest angle is $\angle X;$
the smallest side is $XZ=m-3$ - the smallest angle is $\angle Y.$

Thus,

$m\angle Y$

goblinko [34]2 years ago

6 0

Answer:

Step-by-step explanation:

mAngleY < mAngleZ < mAngleX

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Help pls ty in advance

svetoff [14.1K]

$\bold{\huge{\underline{ Solution\: 2 }}}$

The name of the circle is IJKL
The name of central Angle
$\sf{\underline{= {\angle} IHJ }}$
The name of the secant = KL

${\bigstar}$ Circle :- It is a round figures, which has no end points.

${\bigstar}$ Central angle :- It the angle ,which lie in the middle of the circle.

Here, H is the mid point of the circle .So, Angle IHJ is the central angle.

${\bigstar}$ Secant :- A line drawn in circle in such a way that it intersect the circle from two distinct points. Then, It is called secant .

Here, KL is the line which acts as a secant because it intersect the circle from point K and point L.

$\bold{\huge{\underline{ Solution\: 3 }}}$

Semicircle = FGH and FIH
Minor Arc :- FG or GH
Major Arc :- FHG or GFH

${\bigstar}$ Semicircle :- Semicircle is nothing but the half of the circle.

Here, In second diagram 

FGH and FIH are acting as two semicircles which simulatineously forming one circle.

${\bigstar}$ Minor Arc :- Minor Arc is nothing but the smaller arc of the circle and it is always smaller than the half of the circle that is semicircle.

Here, 

FG or GH are the minor arc of the given circle.

${\bigstar}$ Major Arc :- Major Arc is nothing but the largest arc of the circle and it is always larger than the half of the circle that is semicircle.

Here, 