Answer:
D
Step-by-step explanation:
when a number is added at the end it results in a vertical transformation
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.
Answer:
x = -1
Step-by-step explanation:
-4(3x-7) =40
Divide each side by -4
-4(3x-7)/-4 =40/-4
3x-7 = -10
Add 7 to each side
3x-7+7 = -10+7
3x = -3
Divide each side by 3
3x/3 = -3/3
x = -1
1. Find the percent markup.
Markup ($) = percent markup (%) x original cost ($)
A computer store buys a laptop for $635 directly from the manufacturer (Dell). The markup is $570. What is the percent markup on the computer?
The percent markup is: <u> </u><u>90</u><u> </u>%
FORMULA: Percent of Markup = Markup/Cost x 100
- = $570/$635 x 100
- = 0.90 x 100
- = 90%
Answer:
A person standing on the bank of the river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60
∘
.When he was 40m away from the bank he finds that the angle of elevation to be 30
∘
.Find
(i) the height of the tree.
(ii)the width of the river,correct to 2d.p
