Answer:
Option (B). Perimeter of the quadrilateral ABCD= 14.6 units
Step-by-step explanation:
From the figure attached,
Coordinates of the vertices are A(3, 5), B(1, 3), C(3, -1), D(5, 3).
Length of AB = 
= 
= 
= 2.83 units
Length of AD = 
= 
= 2.83 units
Length of BC = 
= 
= 4.47 units
Length of DC = 
= 
= 4.47 units
Perimeter of the quadrilateral = AB + AD + DC + BC
= 2.83 + 2.83 + 4.47 + 4.47
= 14.6 units
Option (B) is the answer.
Answer:
an = 12 -7(n-1)
an = 19-7n
Step-by-step explanation:
The explicit formula for an arithmetic sequence is
an = a1 +d(n-1) where a1 is the first term and d is the common difference
a1 =12
We find d by taking the second term and subtracting the first term
d = 5-12
d = -7
an = 12 -7(n-1)
We can simplify this
an = 12 -7n+7
an = 19-7n
An equinox is when there are equal amounts of daylight and hours in the night. The equinox falls twice in a year and there is a winter solstice and a summer solstice.
Answer:
<u> </u><u>The</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>7</u><u>0</u><u>°</u><u>.</u>
Step-by-step explanation:
Let's name the angle to the right of 125° as 'y'.
y = 180 - 125 (linear pair)
<u>y = 55</u>°
Now, we know that all the angles in a triangle sum up to 180°. (Angle Sum Property)
x = 180 - (55+55)
x = 180 - 110
<u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>0</u><u>°</u>