A straight angle measures 180 degrees.
Angle x and the 150-degree angle form a straight angle.
x + 150 = 180
x = 30
Angle z and the 100-degree angle form a straight angle.
z + 100 = 180
z = 80
Now you know the measures of two angles of the three angles of the triangle. The sum of the measures of the angle of a triangle equals 180 degrees.
x + y + z = 180
30 + y + 80 = 180
y + 110 = 180
y = 70
Answer: x = 30; y = 70; z = 80
Answer:
264cm2
Step-by-step explanation:
the length of line in green = 5 cm
the length of line in yellow = 3 cm
the length of line in red = 6 cm
the length of line in white = 16 cm
the total area = 100 + 12 + 12 + 20 + 24 + 96 = 264 cm2
5600 - 4420 = 1180....so there is a difference of 1180 in a period of (1998 - 1993) = 5 yrs.
1180/5 = 236 people per yr
so in 1998 the population was 5600.....in 2000 (2 yrs later) the population would be : 5600 + 236(2) = 5600 + 472 = 6072 <==
Melissa is represented by variable m.
Josh is represented by variable j.
Chau is represented by variable c.
m+j+c= 148
c=4m
j=m+10
Substitute for c and j for the first equation.
m+(m+10)+4m=148
6m+10=148
6m=138
m=23
Plug the known m value in
j=23+10
j=33
c=4(23)
c=92
Final answer: Melissa=23 messages, Josh=33 messages, Chau=92 messages
