12x + 12 + 15 + 3x + 18 = 180
15x + 45 = 180
15x = 180 - 45
15x = 135
x = 135/15
x = 9
m < A = 12x + 12 = 12(9) + 12 = 108 + 12 = 120....A is 120
m < C = 3x + 18 = 3(9) + 18 = 27 + 18 = 45....C is 45
1. (The base on top is 15 ft.
To find the base on the bottom you have to first find the length of the right side of the triangle. 7 - 4 = 3. Then, square both sides of the triangle and add them together. 15^2 + 3^2 = 234
Next take 234 and find its square root = 15.3. The bases of the trapezoid are 15 and 15.3)
2. (Both bases and the height.)
3. (2l + 2w does not belong, all of the equations are formulas for area but that one is perimeter)
A) 180-125 =55
B) both bottom angles are 55 and the triangle's angles should add up to 180, so 55 + 55 + x = 180. X = 70
C) CAE and CBD are equal so the bottom angle (that was calculated in A) will be the base acute angle —>55
Answer: (0,1)
Step-by-step explanation:
If
and
are two point son a coordinate plane and (x,y) dividing it in a ratio of m: n.
Then , the coordinates of (x,y) is given by :-


Given : On a coordinate plane, a line is drawn from point A to point B. Point A is at (2, - 3) and point B is at (- 4, 9).
Then , the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2 :


Hence, the x- and y- coordinates of point E = (0,1)
Given:
The product of a particular number is 65.
Second value is given by the sum of 8 and the original number.
To find:
The unknown number.
Solution:
Let x be the unknown number.
Then, second number = x+8
The product of a particular number is 65.



Splitting the middle term, we get



Using zero product property, we get
and 
and 
So, the unknown number is either 5 or -13.
Therefore, the correct option is B.