For ABC:
The interior angle of C is 180 - 142 = 38
The three interior angles add up to 180°
(2x - 15) + (x - 5) + 38 = 180
3x - 20 + 38 = 180
3x + 18 = 180
3x = 162
x = 54
The measure of angle ABC = x - 5 = 54 - 5 = 49
For JKL:
The interior angle of L is 180 - 100 = 80°
The 3 interior angles add up to 180°
(2x + 27) + (2x - 11) + 80 = 180
4x + 16 + 80 = 180
4x + 96 = 180
4x = 84
x = 21
The measure of angle JKL is 2x - 11 = 2(21) - 11 = 42 - 11 = 31°
Answer:
net amount $885.98 tax at 8.5% is $75.31 gross amount is $961.29
Answer:
a. there's a lot of options but here are a few: 1 and 5, 5 and 6, 2 and 1, 2 and 6
b. also a lot of options but here are a few: 1 and 6, 5 and 2, 3 and 8, 4 and 7
Step-by-step explanation:
supplementary angles are two angles that add up to 180 degrees, so essentially two angles that, combined, are equal to a straight line.
vertical angles are angles that are opposite each other when two lines cross.
Answer:
15.7 units
Step-by-step explanation:
AB = 6, BC = 3
Therefore by Pythagoras theorem
AC = 
Answer:
They should increase their price by $28.
Step-by-step explanation:
First find out what 35% of 80 is. Do so by multiplying 80 by 35% in its decimal form - .35.
80*.35=28.
This means that they have to increase their price by at least 28 dollars to make a profit.
The new price of the instrument should be $108 - $80 increased by 35%.
Hope this helps :)
