Answer:- AAS postulate
Explanation:-
- AAS postulate tells that if two angles and a non-included side of a triangle to equal to the two angles and a non-included side of another triangle then the two triangles are said to be congruent.
Given:- One angle and one side of a triangle is equal to the one angle and one side of the other triangle.
We see there is one more pair of equal angles as they are vertically opposite angles . [See the attachment]
⇒ there is a triangle where two angles and a non-included side of a triangle to equal to the two angles and a non-included side of another triangle then the two triangles are said to be congruent.
⇒ The triangles are congruent [ by ASA postulate]
Answer:
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8 / 6 3/10
= 8 * 10/63
=80/63
3 4/15 / 80/63
= 49/15 * 63/80
=<u>2.5725</u>
Step-by-step explanation:
x=width of pool
2x=length of pool
the dimensions of the rectangle forming the walkway and the pool are x+4 and 2x+4
the area of this rectangle minus the area of the pool is 196 square feet
(2x+4)(x+4)-(x)(2x)=196
2x^2+4x+8x+16-2x^2=196
combine similar terms
12x+16=196
12x=196-16
12x=180
x=180/12
x=15 feet is the width of the pool
check: 34*19-30*15=196
646-450=196
196=196