Similar shapes are figures which have the same form or shapes but not necessarily are congruent shapes. These shapes could have different side lengths. Given that triangle ABC is equal triangle XYZ, then side AB would correspond to side XY, side BC would correspond to side YZ and side AC would correspond to side XZ. Therefore, the correct answer would be option 3. The correct proportion would be AB / XY = AC / XZ. From the choices, given it is the only option where the side lengths corresponds to each other (side AB to side XY and side AC to side XZ).
Factor by grouping is (3x+5)(x+5) .
Answer:

Step-by-step explanation:
we have : lines 2 x + 4 y = 0 and 2 x + y = 10
Let ,
2 x + 4 y = 0............. (1)
2 x + y = 10...............(2)
solve these equations for x and y
Now subtract (2) from (1) ,we get
3y=-10
⇒y = 
Put the value of y in (1) , we get
2x+4(
) = 0
⇒2x= 
⇒x=
∴ Point of intersection is
.
Hence,the x-coordinate of that point is
.
Answer:
A = 153.94 sq mi
Step-by-step explanation:
In this scenario, we would be starting from the center point and searching the area of a square since the distance in every direction would the same 7 mi. This 7-mile distance would be our radius in this scenario. We now need to use the formula for the Area of a circle to calculate the search area. This formula is the following
A = 
A = 
A = 
A = 153.94 sq mi
A total of 153.94 square miles must be searched.
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