Answer:for the first one, you should probably do a table of values then answer the question, i usually find that helpful
Step-by-step explanation:
<span>For a parallelogram to be proven to be a rectange, the opposide sides must be parallel and the two adjacent sides must be perpendicular.
For two parallel sides, the slope of the two sides is equal.
Thus, for the parallelogram to be a rectangle, AB is parallel to CD.
The slope of AB = (y2 - y1)/(x2 - x1) while the slope of CD = (y4 - y3)/(x4 - x3)
Also, BC is perpedicular to CD.
For two perpendicular sides, the product of the slopes is -1.
The slope of BC is given by (y3 - y2)/(x3 - x2).
Therefore, for the parallelogram to be a rectangle.
(y2 - y1)/(x2 - x1) = (y4 - y3)/(x4 - x3) and (y4 - y3)/(x4 - x3) x (y3 - y2)/(x3 - x2) = -1.
The third option is the correct answer.</span>
Answer:
x= 10°
Step-by-step explanation:
BWN = BRN (W=R)
56+ (5x-16) +90 =180 {triangle BNW} [angles in a triangle add up to 180] ( properties of a kite)
5x = 180 - (56 + 90 - 16)
5x = 180 - 130
5x = 50
x =50/5
x = 10°
∠G is the shortest
Step-by-step explanation:
Given is a ΔFGH
FG = 8.7
FH = 4.5
GH = 6.1
The triangle will be formed with three angles
F, G and H
"The side opposite to the largest angle of the triangle is the largest"
Similarly, The side opposite to the shortest angle is the shortest.
Converse of this postulate will be:
The interior angle opposite to the shortest side of the triangle is the smallest.
The triangle formed is attached in the form of a picture.
The angle opposite to FH will be the shortest.
Hence,
∠G is the shortest
Keywords: Angles, triangles
Learn more about angles at:
#LearnwithBrainly
The 4th one, since both values have less than .5 after the decimal
