Try C but im not 100% sure though
Answer: p = 120 degrees
Step-by-step explanation:
Figure a shows a pentagon. The sum of interior angles in a pentagon is equal to 540 degrees.
1. Subtract the known numerical angle
540 - 60 = 480
All of the remaining angles (represented by the variable p) are equal to one another. Therefore, we can use the expression 4p = 480 to find the value of p.
2. Evaluate the equation to find the value of p.
4p = 480
p = 120
Let's solve your system by substitution.
2
x
−
3
y
=
1
;
3
x
+
2
y
=
6
Step: Solve
2
x
−
3
y
=
1
for x:
2
x
−
3
y
=
1
2
x
−
3
y
+
3
y
=
1
+
3
y
(Add 3y to both sides)
2
x
=
3
y
+
1
2
x
2
=
3
y
+
1
2
(Divide both sides by 2)
x
=
3
2
y
+
1
2
Step: Substitute
3
2
y
+
1
2
for
x
in
3
x
+
2
y
=
6
:
3
x
+
2
y
=
6
3
(
3
2
y
+
1
2
)
+
2
y
=
6
13
2
y
+
3
2
=
6
(Simplify both sides of the equation)
13
2
y
+
3
2
+
−
3
2
=
6
+
−
3
2
(Add (-3)/2 to both sides)
13
2
y
=
9
2
13
2
y
13
2
=
9
2
13
2
(Divide both sides by 13/2)
y
=
9
13
Step: Substitute
9
13
for
y
in
x
=
3
2
y
+
1
2
:
x
=
3
2
y
+
1
2
x
=
3
2
(
9
13
)
+
1
2
x
=
20
13
(Simplify both sides of the equation)
Answer:
x
=
20
13
and
y
=
9
13
<span>Every term in a sequence is denoted by a1 being the first one, a2 the second one, a3 the third one and so on. So in your case, a3 means, which one is the third term? So 100 would be your answer. </span>
Ratio of students selected on the team / the number of students trying out...
boys :
on the team -- 16
trying out -- 40
ratio is : 16/40 which reduces to 2/5
girls :
on the team -- 12
trying out -- 30
ratio is : 12/30 which reduces to 2/5
so yes, the ratios are the same because in both boys and girls, the number of players selected was 2/5 of the total who tried out.
