Answer:
100,80
Step-by-step explanation:
The opposite angle theorem states that, : "When two lines cross four angles are created and the opposite angles are equal."
y°=80°
Now, check that , x° and y° are in one straight line. A straight line has angle of 180°. So x° and y° should sum up to 180°
x° + y° = 180°
x° + 80° = 180°
x° = 100°
Answer:
<5 ~= <1 - Corresponding Angles Theorem
<1 ~= <7 - Alternate Exterior Angles Theorem
<5~= <7 - Vertical Angles Theorem
line l || line m - Transitive Property
Answer:
x=4, MN= 37, LM= 37, y=7.
Step-by-step explanation:
If MP is a perpendicular bisector to LN, then NP and LP are equivalent.
(Solve for y)
2y+2= 16
(Move the +2 to the right side of the equation)
2y= 14
(Divide both sides by 2 to isolate the variable)
y=7
To find x and the measure of MN and LM, solve for x in the following equation:
7x+9 = 11x-7
(Move 7x to the right side of the equation)
9 = 4x-7
(Move -7 to the right side of the equation.)
16= 4x
(Divide both sides by 4 to isolate the variable.)
4= x
Plug x back into both equations to get the measure of MN and ML
MN=7(4)+9
MN= 28+9
MN= 37
LM= 11(4)-7
LM= 44-7
LM= 37
I hope this helps!
Answer:
Step-by-step explanation:
x² - 144 = x² - 12²
= (x +12)(x - 12)
a² - b² = (a + b)(a-b)
A. Second would be both u.s. and metric systems..
