Answer:
The actual area of the town is 14 miles.
Step-by-step explanation:
Since you know that the scale is 1 inch:4 miles and that the map shows a town with an area of 3.5 inches, you can expressed this as follows:
Scale: 1 inch:4 miles
map area: 3.5 inches
If the actual area is x, you can say that:
3.5:x=1:4
This would be:
Now, you can solve for x:
x=(3.5*4)/1
x=14
According to this, the answer is that the actual area of the town is 14 miles.
(10+2x)(8+2x) = 120
4x^2 + 36x + 80 = 120
x^2 + 9x + 20 = 30
x^2 + 9x - 10 = 0
(x+10)(x-1) = 0
x = 1 inch dimension
Answer:
SSS, SAS, ASA, AAS, HL
Step-by-step explanation:
1. SSS (side side side) says if 3 sides of one triangle are congruent to 3 sides of another triangle, then the 2 triangles are congruent.
2. SAS (side angle side) says if 2 sides and the included angle of a triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent.
3. ASA (angle side angle) says if 2 angles and the included side of a triangle are congruent to 2 angles and the included side of another triangle, then the 2 triangles are congruent.
4. AAS (angle angle side) says if 2 angles and the none included side of one triangle are congruent to the corresponding parts of another triangle, then the 2 triangles are congruent.
5 HL (hypotenuse leg) says if 2 right triangles that have a congruent hypotenuse and a corresponding congruent leg, then the 2 triangles are congruent.
Because it is a rectangle, the sides are equal, and they share the same hypotenuse.
Answer:
-3
Step-by-step explanation:
First take (-3+2) and simplify that which will turn into (-1). Then take (-5+7) which will turn into (2). Then plug that back into the equation and you get (-1)-(2). And you get -3.
