Answer:
Step-by-step explanation:
20) Angles 1 and 2 are supplementary angles( sum of angle 1 and angle 2 is 180 degrees)
21) Angles 1 and 2 are supplementary angles( sum of angle 1 and angle 2 is 180 degrees)
22) Angle TUW + Angle WUV =Angle TUV
Therefore
(7x-9) + (5x - 11) = (9x+1)
7x-9 + 5x - 11 = 9x+1
7x +5x-9x =1 + 11 + 9
3x = 21
x = 21/3= 7
23) GEF - 13 = 5DEG
and DEF = 149 degrees
GEF = 5DEG + 13
Sum of angles (GEF + DEG)=DEF
Therefore,
DEG + 5DEG - 13 = 149
6DEG = 149 + 13 = 162
DEG = 162/6 = 27
GEF = 5DEG = 27 × 5 =135
24) 7x - 1 + 6x -1 = 180(sum of angles in a straight line)
13x-2 = 180
13x = 180+2 = 182
x = 182/13 = 14
25) 5x + 4 + 8x - 7 = 180( sum of supplementary angles is 180)
13x = 180+7-4= 183
x = 183/13 = 14.08
Answer:
You did not post the options, but i will try to answer this in a general way.
Because we have two solutions, i know that we are talking about quadratic equations, of the form of:
0 = a*x^2 + b*x + c.
There are two easy ways to see if the solutions of this equation are real or not.
1) look at the graph, if the graph touches the x-axis, then we have real solutions (if the graph does not touch the x-axis, we have complex solutions).
2) look at the determinant.
The determinant of a quadratic equation is:
D = b^2 - 4*a*c.
if D > 0, we have two real solutions.
if D = 0, we have one real solution (or two real solutions that are equal)
if D < 0, we have two complex solutions.
Answer:
136 m2 Option c
Step-by-step explanation:
136 m2
1 base = 6 × 7 = 42
2 sides = 2(7 × 5) = 70
2 triangles = 2(6 × 4
2
) = 24
SA = 42 + 70 + 24 = 136 m2
The question reminds you of all the tools you need:
It says ...
"Opposite angles are equal."
So the upper right angle is x+40 just like the bottom left,
and the bottom right angle is 3x+20 just like the upper left.
And it says ...
"The sum of all angles is 360°."
You know what each of the four angles is, so you can addum all up,
set the sum equal to 360, find out what number ' x ' is, and then
use that to find the size of every angle.
You have to dive the x and the Y so R=7
