Answer:
18x+12
Step-by-step explanation:
5x+14+13x-2
combine Like terms:
5x+13x
14-2
18x+12
From the given options, x^2 - 6x + 9 = (x - 3)^2 is a perfect square.
Answer:
181 mi^2
Step-by-step explanation:
Dimensions of large rectangle, on the left, are 6 mi by 8 m; area is 48 m^2;
Dimensions of small rectangle, in the middle of the diagram, are 4 mi by 5 mi, or 20 mi^2; area is 20 mi^2.
Dimensions of circle: r = 12 mi; area of quarter circle is (1/4)(3.14)(12 mi)^2, or 113 mi^2.
Total area is 113 mi^2 + 20 mi^2 + 48 mi^2, or 181 mi^2
Let's use a for number of days when he shot 50 shots and b for number of days when he shot 100 shots.
We have:
a + b = 20
We also know that he shot total of 1250 shots:
50a + 100 b = 1250
We have two equations. We can solve them for a and b. Let's rearange first equation for a:
a= 20 - b
We insert this into second equation:
50 * (20 - b ) + 100b = 1250
1000 - 50b + 100b = 1250
50b = 250
b = 5
a = 20 - 5
a = 15
Mark shot 100 shots on 5 days.
The statement 1:"If parallel lines have a transversal, then corresponding angles are congruent" is theorem, because it has been proved. It is a logical consequence of axioms.<span>
The statement 2:"</span>A line has an infinite number of points extending in opposite directions." is postulate or also referred as axiom, because <span>is taken to be true without proof. Is it a true statement that can not be proven. </span>
