Answer:
x = 130 degrees
Step-by-step explanation:
Here, we want to find the value of x
mathematically, the sum of opposite interior angles equal the opposite exterior angles
In the triangle, we have only one interior angle
Now, as we can see, the angle that measures 150 is on a straight line with one of the angles in the triangle
Mathematically, the sum of angles on a straight line is 180
So we have it that the given angle in the triangle would be (180-150)
If we add this to the 100, we have the exterior angle which is x
Thus, we have it that;
x = 100 + (180-150)
x = 100 + 30
x = 130 degrees
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
A conditional statement is in the form of:
- If P then Q, where P - hypothesis and Q- conclusion
<h3>#12</h3>
- Underlined portion is P part, therefore is b. Hypothesis
<h3>#13</h3>
- Underlined portion is Q part, therefore is a. Conclusion
<h3>#14</h3>
A quadrilateral is a figure with four sides.
We put this statement into "if P then Q" format. We consider the quadrilateral is a figure and it has four sides.
- If a figure is quadrilateral, then it has four sides.
Correct choice is b
Answer:
a = 3, b = - 7
Step-by-step explanation:
Substitute x = 2 into the equation and equate to 5, that is
a(2)² + b = 5
4a + b = 5 → (1)
Substitute x = 3 into the equation and equate to 20
a(3)² + b = 20
9a + b = 20 → (2)
Subtract (1) from (2) term by term to eliminate b
(9a - 4a) + (b - b) = (20 - 5), that is
5a = 15 ( divide both sides by 5 )
a = 3
Substitute a = 3 into either of the 2 equations and solve for b
Substituting in (1)
4(3) + b = 5
12 + b = 5 ( subtract 12 from both sides )
b = - 7
Answer: -9 and 7
Step-by-step explanation: and