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Andreyy89
2 years ago
7

In the triangles, XY = MP and YZ = PN. Triangles Y X Z and P M N are shown. The length of side X Z is 23 inches. The length of s

ide M N is 19 inches. Sides X Y and M P are congruent. Sides Y Z and P N are congruent. If mAngleP = 85°, which is a possible measure for AngleY? mAngleY = 80° mAngleY = 85° mAngleY = 100° mAngleY = 180°

Mathematics
2 answers:
ziro4ka [17]2 years ago
5 0

Answer:

m\angle Y = 85\°

Step-by-step explanation:

In Triangles YXZ and PMN

XY \cong MP\\YZ \cong PN

Since the third side of  triangle subtended by two congruent sides will always be congruent, the two triangles are congruent by SSS congruence theorem.

Therefore:\triangle XYZ \cong \triangle MPN\\

If the measure of angle P = 85°

Since P and Y are in the same positions(as seen in the diagram) in the two triangles respectively, the measure of angle Y is also 85 degrees.

yaroslaw [1]2 years ago
5 0

Answer:

I believe the correct answer would be m<Y= 100° which would be letter C.

Step-by-step explanation:

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<u>The given options are:</u>

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(C)the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.

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(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Step-by-step explanation:

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360^\circ =$Total Angle

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\dfrac{m\angle ZYX}{360^\circ} \cdot \pi r^2\\\text{Area of XYZ}=\dfrac{\text{Cental Angle of XYZ}}{\text{Total Angle}} X \text{Area of the Circle}

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