Answer:
No solution
Step-by-step explanation:
3(5x+7) = 30 + 15x
DISTRIBUTE
15x+21 = 30+15x
15x-15x = 0
So no solution
Answer: The measure of the vertex angle = 80°
Step-by-step explanation:
Angle sum property of triangle : The sum of the measures of the angles for any triangle is 180 degrees.
So,
'
Then, vertex angle = 
Hence, The measure of the vertex angle = 80°
Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Given the functions expressed as:

In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))
Get the composite function h(g(x))

Get the composite function g(h(x))

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Learn more on inverse functions here; brainly.com/question/14391067
Answer:
the equation D ) would cause a consistent-independent system.
Step-by-step explanation:
A ) 5 x + y = 7 /*( -2 )
10 x + 2 y = 14
--------------------
- 10 x - 2 y = - 14
10 x + 2 y = 14
------------------------
0 x = 0 ( Dependent system )
B ) 5 x + y = 7 / * 3
- 15 x - 3 y = - 6
--------------------------
15 x + 3 y = 21
- 15 x - 3 y = - 6
-------------------------
0 x = 15 ( Inconsistent system )
C ) 5 x + y = 7
5 x + y = - 7 / * ( - 1 )
---------------------------
5 x + y = 7
- 5 x - y = 7
------------------
0 x = 14 ( Inconsistent system )
D ) 5 x + y = 7 / * ( - 2 )
6 x + 2 y = 7
------------------
- 10 x - 2 y = - 14
6 x + 2 y = 7
-----------------------
- 4 x = - 7; x = 7/4; y = - 7/4