Mathematics, 26.01.2022 14:00 billy1123

Hey guys! I have a problem that I can't solve. Help please! 14 points! There are 2 screenshots: 1 as for the triangle, and 1 for the rules.

Hey guys! I have a problem that I can't solve. Help please! 14 points! There are 2 screenshots: 1 a

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Answer from: briansalazar17

ASA/AAS

Skills needed: Triangle Geometry

Step-by-step explanation:

1) When looking at Triangles, there are 5 ways to determine Congruence.

---> SSS - When all 3 sides of one triangle are congruent to the other. (The tick marks are used to signify the congruent sides - The sides with 1 tick are congruent to each other, the sides with 2 ticks are congruent to each other, and so on).

---> AAA - When all 3 angles of one triangle are congruent to the other. Again, tick marks are used to signify the congruent angles.

---> SAS - When 2 sides of a triangle are congruent, and the angle in between those two sides of the first triangle is congruent to the second triangle.

---> ASA - When two angles and the side in-between the two angles of one triangle are congruent to the other triangle.

---> AAS - When two angles and one of the two sides not in-between the two angles of the first triangle are congruent to the other triangle.

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As mentioned before, ticks are almost always used to display congruence of sides and angles.

The congruence sign is $\cong$

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2) In this problem, $\angle XBO \cong \angle RCA$ , meaning the angle denoted by XBO (B is the vertex, and X and O are the endpoints) is congruent to the angle denoted by RCA (C is the vertex, R and A are the endpoints)

---> Also, $\angle XOB \cong\angle RAC$ (Angle XOB is congruent to Angle RAC)

2 angles from the first triangle ( $\triangle BOX$ ) are found to be congruent in the 2nd triangle ( $\triangleCAR$ $\triangle CAR$ )

---------> ALSO:

- $\overline{BO} \cong \overline{CA}$ ---> One side from $\triangle BOX$ is congruent to $\overline{CA}$ , which is from the other triangle.

NOTE: This side is also in-between THE TWO ANGLES STATED BEFORE. This means that we have:

ASA ---> Since this has the side in-between the two angles.

ASA is the answer!

$\triangle BOX \cong \triangle CAR \text{ by } \textbf{ASA}$

Answer from: Quest

answer: (x)+4-5=-3

step-by-step explanation:

Answer from: Quest

i believe the answer is the polygon, heptagon.

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