Answer:
No solution.
Step-by-step explanation:
Given
Required
Find all possible solutions
If 
, then the triangle is right-angled and the hypotenuse is at b
Given that 
This implies that a > b
In a right-angled triangle, the hypotenuse (side b) is the longest.
Since this is not true for the given sides, then the triangle has no solution.
Answer: 150 min
Step-by-step explanation:
2 hours = 120 min, 120 + 30 min = 150 min
The solution of the system of equations that is given is (2,-1).
Given a system of equations are 5x+y=9 and 3x+2y=4.
A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.
The given equations are
5x+y=9 ......(1)
3x+2y=4 ......(2)
Here, the substitution method is used to solve the system of equations.
Find the value of y from equation (1) by subtracting 5x from both sides.
5x+y-5x=9-5x
y=9-5x
To find the value of x substitute the value of y in equation (2).
3x+2(9-5x)=4
Apply the distributive property a(b+c)=ab+ac as
3x+2×9-2×5x=4
3x+18-10x=4
Combine the like terms on the left side as
-7x+18=4
Subtract 18 from both sides and get
-7x+18-18=4-18
-7x=-14
Divide both sides by -7 and get
(-7x)÷(-7)=(-14)÷(-7)
x=2
Substitute the value of x in equation (1) and get
5(2)+y=9
10+y=9
Subtract 10 from both sides
10+y-10=9-10
y=-1
Hence, the solution of system of equations 5x+y=9 and 3x+2y=4 is (2,-1).
Learn more about system of equations from here brainly.com/question/13729904
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Measure of angle 8 is 135°
Answer:
x = 2
Step-by-step explanation:
(16 = 
and 8 = 
)
Since the base number is 2, the exponents must equal each other.
So:
12x = 3x+18
9x = 18
x = 2
