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1 answer:
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To determine the perimeter of the pentagon, you must first calculate a side length of it. Let's name the coordinates A(-1,4) and B(2,3).
To figure out how far the points are from each other, you have to use the distance formula:
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2}
Now, the formula for the perimeter of a pentagon is
P = 5×side length
So...
Perimeter = 5×
The answer is (2)
To figure out how far the points are from each other, you have to use the distance formula:
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2}
Now, the formula for the perimeter of a pentagon is
P = 5×side length
So...
Perimeter = 5×
The answer is (2)
m∠DWC=138°, ∠AWB = 138°, ∠AWD = 42°, ∠BWC = 42°
Solution:
Line intersect at a point W.
Given .
<em>Vertical angle theorem:</em>
<em>If two lines intersect at a point then vertically opposite angles are congruent.</em>
<u>To find the measure of all the angles:</u>
∠AWB and ∠DWC are vertically opposite angles.
Therefore, ∠AWB = ∠DWC
⇒ ∠AWB = 138°
Sum of all the angles in a straight line = 180°
⇒ ∠AWD + ∠DWC = 180°
⇒ ∠AWD + 138° = 180°
⇒ ∠AWD = 180° – 138°
⇒ ∠AWD = 42°
Since ∠AWD and ∠BWC are vertically opposite angles.
Therefore, ∠AWD = ∠BWC
⇒ ∠BWC = 42°
Hence the measure of the angles are
m∠DWC=138°, ∠AWB = 138°, ∠AWD = 42°, ∠BWC = 42°.