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.
46 = 5k - 59
46 + 59 = 5k
105 = 5k
105/5 = k
21 = k
k is 21
The y-intercept is 4 because it is the only number without a variable
Answer:
The ordered pair (-3, 12) DOES NOT satisfy the equation.
Step-by-step explanation:
Given the function
Let us substitute all the values to check which points satisfy the function.
FOR (1, -1)
y = -3x+2
substitute x = 1, y = -1
-1 = -3(1) + 2
-1 = -3+2
-1 = -1
TRUE!
Thus, the ordered pair (1, -1) satisfies the equation.
FOR (4, -10)
y = -3x+2
substitute x = 4, y = -10
-10 = -3(4) + 2
-10 = -12+2
-10 = -10
TRUE!
Thus, the ordered pair (4, -10) satisfies the equation.
FOR (-2, 8)
y = -3x+2
substitute x = -2, y = 8
8 = -3(-2) + 2
8 = 6 + 2
8 = 8
TRUE!
Thus, the ordered pair (-2, 8) satisfies the equation.
FOR (-3, 12)
y = -3x+2
substitute x = -3, y = 12
12 = -3(-3) + 2
12 = 9+2
12 = 11
L.H.S ≠ R.H.S
FALSE!
Thus, the ordered pair (-3, 12) DOES NOT satisfy the equation.
Therefore, the ordered pair (-3, 12) DOES NOT satisfy the equation.
Answer:
there is no picture
Step-by-step explanation:
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