ANSWER

EXPLANATION
If ABCD is a parallelogram, then
line AB is parallel to line DC .
This means that,

and

are alternating angles.
Alternate angles are congruent.
This implies that,

We group like terms to obtain,

This simplifies to,

Also, if ABCD is a parallelogram then,
BC is parallel to AD. This means that,

We group like terms to get,

This simplifies to,

We divide both side by 4 to get,
Answer: x=15
Answer: x=15
.......
Answer:
Step-by-step explanation:
This is an equilateral triangle.
The altitude bisects the 60 degree angle, so a=30
b=60 since its an interior angle of the isosceles triangle.
e = 4 since the two triangles formed by the altitude are congruent.
c = 8 since the side length is 4 + 4 = .
f = 4sqrt3 by the properties of 30 60 90 triangles.
Answer:
With respect to the reference angle, one leg is the adjacent leg, or the leg right next to the reference angle; and the other leg is the opposite leg, or the leg on the opposite side of the triangle. If two triangles are similar, the ratios of corresponding sides are equal.
9514 1404 393
Answer:
(a) y = 5
Step-by-step explanation:
The equation of a horizontal line can be written as ...
y = constant
In order to make that line pass through a given point, the constant must match the y-coordinate of the point. Here, that is 5.
y = 5