Please i need this turned in by 2:00 om so dont answer if you dont know<3
1 answer:
Answer:
slope = -1/3
y-intercept = 4
x-intercept = 12
Step-by-step explanation:
slope intercept form is
y = mx + b
m is the slope and b is the y-intercept
----------------------
rearrange into slope intercept form
1.5x + 4.5y = 18
subtract 1.5x from both sides
4.5y = -1.5x + 18
Divide both sides by 4.5
y = (-1/3)x + 4
------------------------
Slope
m = -1/3
---------------------
y-intecept
b = 4
---------------------
x intercept
this is where y = 0
0= (-1/3)x + 4
add (1/3)x to both sides
(1/3)x = 4
Multiply both sides by 3
x = 12
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1. consider one angle of a (convex) heptagon. From that angle you can construct 7-3=4 diagonals. (-3 because we cannot create diagonals with the adjacent vertices and the angle itself )
2. 4 diagonals create 5 triangular regions. (check the picture)
3. So the sum of the measures of the interior angles of the heptagon is 180°*5=900°.
4. The measure of the remaining 7th interior angle is 900°-(120+150+135+170+90+125)°=110°.
5. The largest exterior angle is when the interior angle is the smallest.
6. The smallest interior angle is 90°, so the largest exterior angle is 180°-90°=90°
Answer: 90°
2. 4 diagonals create 5 triangular regions. (check the picture)
3. So the sum of the measures of the interior angles of the heptagon is 180°*5=900°.
4. The measure of the remaining 7th interior angle is 900°-(120+150+135+170+90+125)°=110°.
5. The largest exterior angle is when the interior angle is the smallest.
6. The smallest interior angle is 90°, so the largest exterior angle is 180°-90°=90°
Answer: 90°