Answer:
c = 96°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
c is an exterior angle, thus
c = 50° + 46° = 96°
This inequality has NO SOLUTION:
PROOF:
3x + 1 < 2x - 2 < 5x +7
1st let's analyze the 1st inequality: 3x+1<2x-2
3x-2x <-2-1 Then x <-3
2nd let's analyze the 2nd inequality: 2x-2 < 5x+7
2x-5x < 7+2 Then -3x<9 OR 3x > - 9 and x> - 3
In the 1st we have x <-3 in the 2nd we have x > - 3 which is impossible
Answer:
<h3>No, they are not equivalent</h3>
Step-by-step explanation:
Are the following systems equivalent? How do you know?
For the equation;
2x+y= -4 ... 1
7x+7y=0 ... 2
Let us find the solution of the equation;
From 1;
y = 4 - 2x
Susbtitutw into 2;
7x + 7(4-2x) = 0
7x + 28 - 14x = 0
-7x + 28 = 0
7x = 28
x = 28/7
x = 4
Recall that y = 4-2x
y = 4 - 2(4)
y = 4 - 8
y = -4
The solution is (4, -4)
For the other equations;
5x+6y= 4 ... 1 * 1
4x+2y= -4 ..... 2 * 3
___________________
5x+6y= 4
12x+6y= -12
Subtract
5x-12x = 4 + 12
-7x = 16
x = -16/7
Since the solutions to both simultaneous equations are different, hence the systems of equations are not equivalent.
Answer:
6/54 or 1/9
Step-by-step explanation:
6/54 reduces to 1/9
hope this helps
