Answer:
Step-by-step explanation:
We have given a parallelogram ABCD.
For a parallelogram,
Opposite pair of sides are parallel to each other.
i.e AD is parallel to BC and AB is parallel to CD.
From the attached figure,
∡1 = ∡4 and ∡2 = ∡3 {If two parallel lines cut by a transversal line then alternate interior angles are congruent }
Next, AC ≅ AC {Reflexive identity}
hence, ΔABC ≅ ΔCDA , By Angle-Side-Angle(ASA) congruent property of triangle.
Therefore, AB = CD and AD = BC {Proved}
Slope = -1/4
(4, 7)
y - 7 = -1/4 (x - 4)
y - 7 = -1/4x + 1
y = -1/4 + 8
answer is C
Answer:
x < .6
Step-by-step explanation:
1+5x<4
Subtract 1 from each side
1-1+5x<4-1
5x<3
Divide each side by 5
5x/5 <3/5
x < .6
Answer:
10.0683760684
Step-by-step explanation:
Both those are drawn to scale.
5. Isosceles right triangle, sides in ratio 1:1:√2 = x:x:24 so x/24=1/√2,
x = 24/√2 = 24(√2/2) = 12√2
Answer: D. 12√2
6. 1:1:√2 = 10 : AB : BC
BC = 10√2
Answer: A. 10√2 ft