Answer:
m<PRQ=15°
Step-by-step explanation:
so we're given that PQ and RQ are sides of a regular 12-sided polygon (dodecagon)
a regular polygon is a polygon that has all angles be the same measure AND have all sides be the same length
because of that, PQ=RQ, and ΔPQR is isoceles
now we need to find what the question is asking for: m<PRQ
because of base-angles theorem, m<PRQ=m<RPQ
we need to find m<PQR
a dodecagon is 1800° in measure
and we need 1/12th of that measure, since <PQR is 1 out of the 12 interior angles on the dodecagon (a dodecagon has 12 vertecies, so 12 angles). Also because the polygon is regular, every interior angle has the same measure.
so find the measure of <PQR
<PQR= 1/12*1800=150°
now to find the measure of <PRQ:
there are 180° in a triangle
so subtract 150° from 180°
180°-150°=30°
30° is the sum of the base angles (<PRQ is one of the base angles in a triangle)
the base angles are the same measure, so that means the measure of <PRQ is 1/2 the measure of the sum of the base angles
therefore m<PRQ=15°
hope this helps!
QA.
<span>Assuming the dimensions have to be in exact feet then you could have </span>
<span>9ft *9ft = 81square feet </span>
<span>10 ft * 10 ft = 100 square feet </span>
<span>11 ft * 11 ft = 121 square feet. </span>
<span>QB. </span>
<span>If each tile is 1 ft * 1 ft ie 1 square foot </span>
<span>Then </span>
<span>9' * 9' would mean 125 - 81 = 44 tiles would not be used </span>
<span>10' * 10' = 125 - 100 = 25 tiles not used </span>
<span>11' * 11' = 125 - 121 = 4 tiles not used </span>
Answer:
145 feet.
Step-by-step explanation:
Given that:
An underwater canyon begins at depth = 40 ft
Depth of canyon = 105 ft
To find:
The elevation of the bottom of the canyon = ?
Solution:
Kindly refer to the image attached for the given dimensions.
A is the sea level.
B is the point at which the canyon starts and
C is the bottom of the canyon.
As per question statement, we are given that:
AB = 40 feet
BC = 105 feet
And we have to find the distance AC = ?
It is clearly observable that:
So, the elevation of the bottom of the canyon is <em>145 ft</em>.
