Let
x--------> the measure of the adjacent interior angle
y--------> the measure of an exterior angle at the vertex of a polygon
we know that
The measure of the adjacent interior angle and the measure of an exterior angle at the vertex of a polygon are supplementary angles
so
°
<u>Examples</u>
case 1)
<u>In a square</u>
°
so
°
In this case
The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle
case 2)
<u>an equilateral triangle</u>
°
so
°
In this case
The measure of an exterior angle at the vertex of a polygon is not equals the measure of the adjacent interior angle
therefore
<u>the answer is</u>
sometimes
Answer:
Height of the student=1.651m
Step-by-step explanation:
Given: Height of a student= 65.0 inch.
To find: Height of a student in meters.
Solution:
We know that 1 inch=2.54 cm, then
65.0 inch will be =
65.0 inch will be=
Also, we know that 1cm=
, then
165.2 cm will be equal to=
165.2 cm will be equal to=
Therefore, the height of a student in meters will be 1.651 meters.
Answer:
6 vertices
Step-by-step explanation:
Vertices are basically where two lines meet.
Let
Then it can be shown by using a right-angled triangle and the rule of Pythagoras that
Therefore
Answer:
b=4
Step-by-step explanation:
Lets a be lenght and b width. From text we have:
a=b+4
a*b=32
Put the first equation in the 2n, we get:
(b+4)b=32
b^2+4b-32=0
b^2+8b-4b-32=0
b(b+8)-4(b+8)=0
(b+8)(b-4)=0
So it must be b=-8 or b=4. We know that width cannot be negative, so it is 4.
