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°
The two are perpendicular to each other because the two slopes are negative reciprocals
(Y2 - Y1) / (X2 - X1)
First slope:
( 1 - (-1)) / (-11 - (-6))
2/-5
Second slope:
(-13 - (-8)) / (-5 - (-3))
-5/-2 or 5/2
You know when two aliens are perpendicular when you multiply the two slopes and get -1 as the product
-2/5 X 5/2 = -1
Thus the two lines are perpendicular to each other.
Answer:
(3,4)
Step-by-step explanation:
Answer:
The value of k is -21
Step-by-step explanation:
ax² + bx + c = 0
Sum of the roots = -b/a
3x² + kx + 1 = 0
= sum of the roots = -k/3
-k/3 = 7
Now, Multiply both side by (-3) we get,
(-3)-k/3 = 7(-3)
k = -21
Thus, The value of k is -21
<u>-TheUnknownScientist</u><u> 72</u>
Answer:
5 hours
Step-by-step explanation:
Electrician got 90 for the first hour from the total bill, thus we can say:
330 - 90 = 240 remaining for remaining hours
$60 per hour, so $240 for how many hours?? We divide:
240/60 = 4 hours
So, electrician works 4 hours for 60 per hour = 2 * 6 = 240
and 1 hour for 90 (first hour) = 1 * 90 = 90
Total Bill is 240 + 90 = 330 {exactly what we have}
So we have checked and back-worked our problem to get electrician's total hours of work:
1 + 4 = 5 hours