Answer:
x = 9.25
Step-by-step explanation:
It is given that ABC is an isosceles triangle.
m∠A = 43° and m∠C = (6x+13)°
We need to find the value of x.
The sum of a triangle is equal to 180°.
∠A is the vertex angle. For a triangle sum of angle of triangle is equal to 180°
∠A+∠B +∠C=180
43+∠B+(6x+13)°=180
6x+∠B+56=180
6x+∠B = 124
∠B =124-6x
For an isosceles triangle,
∠B = ∠C
124-6x = (6x+13)
124-13 = 6x+6x
111 = 12x
x = 9.25
So, the value of x is 9.25.
Given equation : y=5/2x.
Solution: In order to graph direct variation equation, we need to make a table of different values of x and y.
We need to plug some values of x's in equation to get values of y's.
Because, we have fraction 5/2, and 2 in denominator. So it would be better to take multiples of 2, so that we don't get values in decimals.
Let us take x=0 first.
Plugging x=0 in given equation, we get
y=5/2x = 5/2(0) = 0.
Let us take x=2 first.
Plugging x=2 in given equation, we get
y=5/2 *(2) = 5
Let us take x=2 first.
Plugging x=4 in given equation, we get
y=5/2 *(4) = 5 *2 = 10.
We got three coordinates for the graph (0,0) , (2,5) and (4, 10).
Let us plot those coordinates on the graph and join the points to draw a straight line.
Answer:
a. there are sometimes infinitely many solutions to the system
b. will always have one solution
c. There is never any solution for the system
Step-by-step explanation:
22a If two lines have the same slope, they can either be parallel lines which never intersect and have no solution or the same line which have infinite solutions. So there are sometimes infinitely many solutions to the system depending on if they are the same line or are parallel lines
b If the lines have different slopes, they will eventually intersect each other at a point, so they will always have one solution
c. If the lines have the same slope and a different y intercept, they are parallel lines and will never intersect. There are no solutions when they never intersect. There is never any solution for the system
Answer:
0
2
2
4
Step-by-step explanation:
Answer:
I think it would be no solution
Step-by-step explanation:
since there is the same slope, the line would never cross. Also the determinate is 0 or 1/0, so there would be no solution
