Answer:
D) translation, then reflection
Step-by-step explanation:
First the triangle 1 is translated in the right side to make triangle 2. Then the 2 triangle is reflected over to get triangle 3.
So, the correct answer is - translation, then reflection
In reflection transformation, the figure is reflected or flipped on a line called the axis of reflection or line of reflection. And translation means moving or shifting of a figure.
Answer:
The equation has no solution; therefore, the system of equations has no solution
Step-by-step explanation:
we have
-----> equation A
-----> equation B
we know that
If after applying the linear combination method, Heather arrived at the equation 0 = 60
then
The reason is because both lines are parallel, therefore the system of equations has no solutions
<u>Verify</u>
isolate the variable y in the equation A
--------> the slope is 1/3
isolate the variable y in the equation B
--------> the slope is 1/3
Remember that
If the slopes are equal the lines are parallel
so
The system of equations has no solutions
Answer:
Step-by-step explanation:
We need a series of equations to be able to sub back and forth into one another in order to get this down to one variable, s for spectators. This is what we know from the info (in algebraic expression/equation form):
.6s = men (60% of the spectators are men)
.4s = women + children (40% of the spectators are women and children)
# of children = 2/3 women
# of men = women + 252 (There are 252 more men than women) and
# women = men - 252
Those are the equations we need to solve for the number of spectators.
Start at the top with
.6s = men. We know that the number of men = women + 252, so
.6s = women + 252.
.4s = women + children. We know that the number of children is 2/3 the number of women, so
.4s = women + 2/3 women. If the number of men = women + 252, then
.4s = men - 252 + 2/3(men - 252) which simplifies to
.4s = 3/3 men - 252 + 2/3 men - 168 and
.4s = 5/3 men - 420 and
.4s = s - 420 and
-.6s = -420 so
s = 700
Answer:
the value of x is 85
Step-by-step explanation:
x+x+40+2x-20=360
4x=360-20
4x=340
x=340÷4
x=85