You can use the substitution method.
You substitute the first equation to the second equation to get the value of x.
x + 3y = -14
x + 3(2x) = -14
x + 6x = -14
7x = -14
x = -14/7 = -2
Substitute the value of x to the first equation.
y = 2(-2) = 4
Answer:
The 3rd option
Step-by-step explanation:
To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.
This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent
We know that m<D=m<E
We also know that m<DCA=m<ECB because they are vertical angles.
Vertical angles are always congruent.
Therefore, the triangles are similar.
The correct similarity statement would be 1, since <D corresponds with <E.
Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.
A pair of alternate interior angles would be <D and B or or <E and <A
There is no way to prove this, since we do not know any of the angle or that measurements or if the triangles are isosceles triangles.
Hence, the correct choice would be 1 only.
12 students/1 teacher = 276 students/x teachers
Students are on top of the ratio and teachers are on the bottom of the ratio. It must remain the same on both sides of the equation.
12 x = 276
divide by 12
x =23
Answer:
Vertex: (13/6,-133/12)
Axis of symmetry: x=13/6
y-intercept: y=3
Step-by-step explanation:
