The 3 inside angles of a triangle equal 180.
Add the 3 angles together to equal 180:
X + (5x-20) + 4x = 180
Simplify the left side by adding like terms:
10x-20 = 180
Add 20 to each side:
10x = 200
Divide both sides by 10:
x = 20
Angle A = x = 20
Angle B = 4X = 4(20) = 80
Angle C = 5x-20 = 5(20) -20 = 100-20 = 80
Answer:
Step-by-step explanation:
Let p represent the number of pens Nick sold. Then the revenue is ...
0.10p +0.05(1000 -p) = 74.50
0.05p = 24.50 . . . . . . eliminate parentheses, subtract 50
p = 490 . . . . . . . . . . . . multiply by 20
The number of pencils sold is then ...
pencils = 1000 -490 = 510
Nick's Printing Press sold 490 pens and 510 pencils.
Answer:
Step-by-step explanation:
Notice that 
.
The diagram already marks 
, so we just need to find 
.
and 
are vertical angles, which means they are equal in measure.
Therefore,
Since there are 
on each side of a line, we have the following equation:
.
Plugging in 
, we have:
.
Therefore,
.
The correct answer would be $1.28
