Answer:
y = (3/2)x + 1
Step-by-step explanation:
Moving from (2,4) to (6,10), we see that y increases by 6 and x by 4. Thus, the slope is m = rise / run = 6/4 = 3/2.
Starting with y = mx + b, subst. 3/2 for m, 4 for y and 2 for x, obtaining
b = 4 - (3/2)(2) = 4 - 3 = 1. Then the desired equation is y = (3/2)x + 1.
a. Pentagon
Interior angle:
5 sides => form 5 triangles => central angle: 360 / 5 = 72°
interior angle = 2x
angles in every triangle: x => x + x + 72° = 180°
=> 2x = 180° - 72° = 108°
Answer 108°
Exterior angles = 360° / number of sides = 360° / 5 = 72°
Answer: 72°
b. 16 - gon
Interior angles: 2x
number of triangles = 16
central angle = 360 / 16 = 22.5°
interior angle 2x, where 180° - 22.5° + x + x => 2x = 180° - 22.5° = 157.5°
Answer: interior angle 157.5°
Exterior angles: 360 / 16 = 22.5°
Answer: exterior angles = 22.5°
c. Dodecagon
number of sides 12
central angle = 360° / 12 = 30°
interior angle, 2x => 30 + 2x = 180 => 2x = 180 - 30 = 150°.
Answer: interior angle = 150°
Exterior angle = 360° / number of sides = 360° / 12 = 30°
Answer: exterior angle = 30°
The answer is A since 7x/8 is the same as 7(x/8).
Answer:
8
Step-by-step explanation:
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Answer:
28 Strips
Step-by-step explanation:
Total Ribbon Length = 4m
First, we convert the total length to cm for ease of calculation.
1m = 100cm
4m =4 X 100cm =400cm
Total Ribbon Length = 400cm
Length of Strips=14cm
Number of Strips that can be cut
= Total Ribbon Length ÷ Length Per Strip
=400 ÷ 14 = 
A total of 28 strips can be cut with a leftover ribbon of 8cm.
