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}
Answer:
Perimeter of rectangle = 6√10 units (the attachment isnt clear. It seems the answer is in option B)
Step-by-step explanation:
First we find the distance of the length and width of the rectangle.
Distance between E and F = Distance EF
Distance EF = √(∆y²-∆x²)
= √[(5-7)² + (1-7)²] = √[(-2)² + (-6)²]
= √(4+36) = √40
Distance EF = 2√10
Distance between F and G = Distance FG
Distance FG = √(∆y²-∆x²)
= √[(2-5)² + (2-1)²] = √[(-3)² + (1)²]
= √(9+1) = √10
Distance FG = √10
Length= distance EF = distance HG
And width = distance FG = distance EH
Perimeter of rectangle = 2(length + width)
Perimeter of rectangle = 2(2√10 + √10)
= 2(3√10)
Perimeter of rectangle = 6√10 units (the attachment isnt clear. It seems the answer is in option B)
Answer:
What is the value of x?
<em>x = 40 degrees.</em>
What is the measure of angle AFE?
<em>Angle AFE = 140 degrees</em>
What is the measure of angle BFD?
<em>Angle BFD = 140 degrees.</em>
Step-by-step explanation:
Angle AFC is 90 degrees.
To find angle x, we have to subtract angle BFC.
90 - 50 = 40 degrees.
Line BFE is 180 degrees.
To find angle AFE, we have to subtract angle x from 180 degrees.
We have solved x already.
180 - 40 = 140 degrees.
Angle BFD is just 90 degrees plus 50 degrees.
90 + 50 = 140 degrees.
Answer:
a=1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
a=1
