The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.
<u>Step-by-step explanation</u>:
ABCD is a quadrilateral with their opposite sides are congruent (equal).
The both pairs of opposite sides are given as AB = 3 + x
, DC = 4x
, AD = y + 1
, BC = 2y.
- AB and DC are opposite sides and have same measure of length.
- AD and BC are opposite sides and have same measure of length.
<u>To find the length of AB and DC :</u>
AB = DC
3 + x = 4x
Keep x terms on one side and constant on other side.
3 = 4x - x
3 = 3x
x = 1
Substiute x=1 in AB and DC,
AB = 3+1 = 4
DC = 4(1) = 4
<u>To find the length of AD and BC :</u>
AD = BC
y + 1 = 2y
Keep y terms on one side and constant on other side.
2y-y = 1
y = 1
Substiute y=1 in AD and BC,
AD = 1+1 = 2
BC = 2(1) = 2
Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.
Answer:
Step-by-step explanation:
Answer:
x = 42°
y = 69°
Step-by-step explanation:
From the picture attached,
Given triangle is an isosceles triangle.
Therefore, two sides will be equal and measure 8 yd.
Measure of 3rd side of the triangle = 6 yd
Perimeter of the garden = 8 + 8 + 6
= 22 yd
In an isosceles triangle, opposite angles of the equal sides will be equal.
Therefore, y = 69°
By the property of interior angles of a triangle,
x° + y° + 69° = 180°
x° + 69° + 69° = 180°
x = 180 - 138
x = 42°
Answer:
Step-by-step explanation:
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Answer:
1
Step-by-step explanation:
i (a + bi) = 1
ai + b(-1) = 1
ai − b = 1
Match the coefficients.
ai = 0
-b = 1
Therefore, a = 0 and b = -1.
So a − b = 0 − (-1) = 1.
