To tessellate a surface using a regular polygon, the interior angle must be a sub-multiple (i.e. factor) of 360 degrees to cover completely the surface.
For a regular three-sided polygon, the interior angle is (180-360/3)=60 °
Since 6*60=360, so a regular three-sided polygon (equilateral triangle) tessellates.
For a regular four-sided polygon, the interior angle is (180-360/4)=90 °
Since 4*90=360, so a regular four-sided polygon (square) tessellates.
For a regular five-sided polygon, the interior angle is (180-360/5)=108 °
Since 360/108=3.33... (not an integer), so a regular five-sided polygon (pentagon) does NOT tessellate.
For a regular six-sided polygon, the interior angle is (180-360/6)=120 °
Since 3*120=360, so a regular six-sided polygon (hexagon) tessellates.
1,265 divided by 34 is 37.20588235
The answer is [ yes; ΔABC ~ ΔFGH by SAS Similarity ]
SAS Similarity states that two triangles have congruent corresponding angles and the corresponding sides have an identical ratio
The angle measure aren't given but the angles look to be the same.
To find the scale factor, divide.
12 / 8 = 1.5
15 / 10 = 1.5
The corresponding sides have an identical ratio.
This proves that option B is correct.
Best of Luck!
Answer: The actual price of house sold at $109000.
Step-by-step explanation:
Since we have given that
Selling price = $100000
Rate of commission = 7%
So, Amount of commission would be
Total commission = $7540
So, Remaining amount of commission would be
Rate of commission exceeding $100000 = 6%
Let the selling price of house be 'x'.
According to question,
Hence, the actual price of house sold at
$100000+$9000=$109000.
C 0 and 2 both make the equation true
