Answer:
Step-by-step explanation:
<u>The missing reasons are:</u>
- 1. k. Given
- 2. j. Definition of parallelogram
- 3. d. Definition of linear pair
- 4. b. Linear pair postulate
- 5. e/m. Definition of supplementary
- 6. g. Same side interior angles theorem
- 7. e/m. Definition of supplementary
- 8. a/c. Substitution property of congruence
- 9. i. Subtraction property of congruence
- 10. f. Alternate interior angles theorem
- 11. l. Alternate exterior angles theorem
- 12. h. Angle congruence postulate
Answer:
Center: (-3,-2)
Radius: √6
The graph is attached.
Step-by-step explanation:
The equation of the circle has the form:
Where (h,k) is the point of the center of the circle and r is the radius of the circle.
The equation given in the problem is
Therefore:
h=-3
k=-2
The center is at (-3,-2)
And the radius is:
Then, you can graph it has you can see in the image attached.
The correct answer is b) the function has an inverse because if passes the horizontal line test.
Answer:
90
Step-by-step explanation:
Let the starting number be x, the two consecutive numbers after x is gonna be x+1 and x+2.
If the sum of these three numbers is 267 then:
x+(x+1)+(x+2)=267
Solve
3x+3=267
3x=267-3
3x=264
x=264/3
x=88
x+1=89
x+2=90
Your three consecutive numbers are 88, 89, and 90.
The largest one of them is 90.
Answer:
A-does not exist
Step-by-step explanation:
The pythagorian theorem :
- 12²+x²= (x-2)²
- 144+x²= x²-4x+4
- 144-4+x²-x²= -4x
- 140 = -4x
- x = 140/-4
- x= -35
That's absurd . A side cannot be negative since it's a distance
It was obvious from the beginning since one of the sides is greater than the hypotenus wich is impossible x≥x-2
