Answer:
Yes
Step-by-step explanation:
Both quadrilaterals have two triangles. The triangles that coordinate with the triangles in the other quadrilateral are proven congruent by AAS and AA. That makes the quadrilaterals congruent.
Answer:
A function is a relation in which each element of the domain, or x-value, is mapped to one element of the range, or y-value.
The question we are asked is if cost is a function of the activity type. This means that cost would be the range and activity type would be the domain.
If this is a function, then each activity type would have only one cost. However, on different days of the week each activity type has different prices; this means there is more than one cost for each activity type, and it is not a function.
Answer:
12
Step-by-step explanation:
12 +30= 42
42+12=54
The z is 5
−2⋅<em>z</em>=−8+18
-
2
⋅
z
=
-
8
+
18
Simplify :
−2⋅<em>z</em>=10
-
2
⋅
z
=
10
Dividing by the variable coefficient :
<em>z</em>=−
10
2
z
=
-
10
2
Simplify :
<em>z</em>=−5
z
=
-
5
The solution of equation
2⋅<em>z</em>−18−4⋅<em>z</em>=−8
2
⋅
z
-
18
-
4
⋅
z
=
-
8
is
[−5]
Some parts are missing in the queston. Find attached the picture with the complete question
Answer:

Explanation:
Let's put the information in a table step-by step.
(number of remaining students)
Juniors Seniors
Condition
- Twice juniors as seniors 2(S - 15)
- 3/4 of the juniors left 1/4×2(S - 15)
- 1/3 of seniors left 2/3×(S - 15)
At the end, there were 8 more seniors than juniors:
- 2/3×(S - 15) - 1/4×2(S - 15) = 8
Now you have obtained one equation, which you can solve to find S, the number of senior students, and then the number of junior students.
Solve the equation:



- Addtion property of equalities:


- Division property of equalities:

That is the number of senior students that came out to the information meeting, but the number of students remaining to perform in the school musical is (from the table above):

Just substitute S with 153 fo find the number of students that remained to perfom in the musical:

