Answer:
45 in²
Step-by-step explanation:
Since it's a 45-45-90 triangle, the legs are equal length. The legs are the sides that are not the hypotenuse. The hypotenuse is the side opposite the 90° angle. Here, the legs are both 6. This is also the height of the parallelogram.
The formula for area of a parallelogram is
A = LH where L is the side length, and H is the height
So the area is
A = 7.5(6) = 45 in²
Answer:
47°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles
124° is an exterior angle , thus
77 + ? = 124 ( subtract 77 from both sides )
? = 47°
Answer:
E
Step-by-step explanation:
The problem says that triangle BDC lies in the plane k, which means that whatever angle is formed by another point beyond this plane with any of the three segments that form BDC (BD, DC, and BC) is the same as the angle formed by the line connecting the point and the plane.
Here, we're given that AD⊥DC, which means AD forms a 90° angle with DC. Then, since DC is already on the plane, we already know for sure that AD is definitely perpendicular to plane k.
Thus, the answer is E (none of these).
Answer:Divide both sides by the numeric factor on the left side, then solve.
m
=
−
4
Step-by-step explanation: