Answer:
B. x = 53 degrees.
Step-by-step explanation:
The external angles of all polygons add up to 360 degrees, so:
x + 120 + 90+ 97 = 360
x = 360 - 90 - 120 - 97
x = 53 degrees.
The speaker is the encoder. That is the correct answer B.
Step-by-step explanation:
Let the number of singing act be x
Let the number of comedy act be y
If the total act is 14, then;
x+y = 14..... 1
If singing acts are 4.5 minutes long and comedy acts are 3.5 minutes long and the acts lasts 59 minutes, then:
4.5x + 3.5y = 59 .......... 2
Solve both equation simultaneously for x and y
x+y = 14
45x+35y = 590
.................................
x+y = 14......... *9
9x+7y = 118....... 1
...............................
9x+9y = 126
9x+7y = 118
Subtract both equations
9y-7y = 126-118
2y = 8
y = 8/2
y = 4
Substitute y = 4 into equation 1;
From 1: x+y = 14
x+4 = 14
x = 14-4
x =10
Hence there are 10 singing acts and 4 comedy acts in the show
525-238= 287 people speak Welsh
287-135 = 152 males speak welsh
238-163 = 75 females do not speak welsh
135+75 = 210 total females
525-210= 315 total males
152/315= 0.48 ~~ 48%
Answer: $18.15
Step-by-step explanation:
$ 4.50 + $13.65 = total amount due