Answer:
43°
Step-by-step explanation:
The sum of all internal/interior angles of a triangle is always equal to 180°
Because of this, if the missing angle is x we can write the equation:
82°+55°+x=180° since the interior angles are given
Add like terms:
⇒ 137°+x=180°
Subtract 137:
⇒ x=43°
Answer:
Step-by-step explanation:
Dimensions of the rectangular park = 4 inches by 6 inches
Since scale factor =
= 

Length of the original park = 120 miles
Similarly, width of the park = 180 miles
Area of the park = Length × Width
= 120 × 180
= 21600 square miles
Therefore, area of the original park is 21600 square miles.
Formula for the ratio of area of the park on map and original park is,


Scale factor = 
= 
Scale factor to reproduce the map so that it fits in the brochure will be 1 inch for every 60 miles.
Suppose we have a generic equation of the form:
1) The first thing you must do to complete squares is to group similar terms of the form:
2) The second step is to complete the squares.
3) The third step is factor the quadratic equation
4) The fourth step is to identify the center and the radius
Answer:
the first step in finding the center of the circle by completing the square is:
C group like terms
Answer:
$1300
Step-by-step explanation:
52/5 = 10.4
$125 * 10.4 = $1300
or another way
125/5 = $25/week
$25 week * 52 weeks = $1300
Answer:
a + b + c + d + e = 180.
Step-by-step explanation:
We can prove that a = angle CBA (vertically opposite angles are equal).
Now, since lines DE and CA are parallel, then it follows that c = angle ACE (alternate angles are equal). Similarly, b = angle CAD.
But notice that what we've just done is found the angles of the triangle CBA.
So the sum of the angles (a + b + c + d + e) is the sum of the angles of a triangle.
We then conclude that a + b + c + d + e = 180 degrees.