Answer:
Step-by-step explanation:
Converse of alternate interior angles theorem:
This theorem states that if two lines are intersected by a transversal and the alternate interior angles are congruent, lines will be parallel.
Therefore, p║n.
Perpendicular transversal theorem:
By this theorem,
In a plane, if a line is perpendicular to one of two parallel lines, then it will be perpendicular to the other line.
Therefore, l ⊥ p.
Options selected in the blank spaces are correct.
Answer:
-6×12×-1=72
Step-by-step explanation:
just note that abs(k)
when k<0
is -k
Answer:
50.05 cm^2
Step-by-step explanation:
Ok so first lets find the area of the rectangle before finding the attached triangle. You have to imagine a line separating this shape into a triangle and rectangle.
The rectangle's size is 6.5x5.5=35.75 cm^2
The rectangle's size is 11.7-6.5 to get the base length, which is 5.2
The height is 5.5
So it's 5.2*5.5/2=14.3 cm^2
14.3+35.75=50.05 cm^2
Answer:
The square root of 208 cm or approximately 14.4 cm
Step-by-step explanation:
There is formula called the Pythagorean theorem and it is a^2 + b^2 = c^2
Where a is equal to height and b is equal to the base.
To put the numbers into the formula:
12^2 + 8^2 = c^2
144 + 64 = c^2
208 = c^2
sqrt (208) cm = c