To find the solution, we use the substitution method.
x+y=-1
<span>x-3y=11
</span>
x+y = -1-y
-y
x = -1-y
Now apply the value of x into the other equation.
x-3y=11
-1-y-3y = 11
Combine like terms
-4y -1 = 11
+1 +1
-4y = 12
-4y = 12
-4y/-4 = 12/-4
y = -3
Now, apply the value of Y to one equation to find x.
y = -3
x -3 = -1
+3 +3
x= 2
Now we have the value for both, x and y.
x = 2
y =-3
Final answer: A. <span>(2, −3)</span>
Answer:
if ABCD is a rhombus then the diagonal of rhombus bisect it into two equal triangles.
Step-by-step explanation:
In triangles ABC and CDA,
- AB= CD (S) because rhombus has equal sides.
- BC = AD (S) as as reason 1.
- AC= AC (S) being common side of both triangles
so the triangles are congruent to each other by S.S.S. fact/ axiom
In 1 hour, a machine could make:
parts
In 28.8 hours, that machine make
parts
The value of the given variable x in the missing angles is; x = 12°
<h3>How to find alternate Angles?</h3>
Alternate angles are defined as the angles that occur on opposite sides of the transversal line and as such have the same size. There are two different types of alternate angles namely alternate interior angles as well as alternate exterior angles.
Now, from the question, we can see that ∠4 and ∠6 suit the definition of alternate angles and as such we can say that they are both congruent.
Since ∠4 = (8x + 4)° and ∠6 = (6x + 28)°, then we can say that;
(8x + 4)° = (6x + 28)°
Rearranging this gives us;
8x - 6x = 28 - 4
2x = 24
x = 24/2
x = 12°
Read more about Alternate Angles at; brainly.com/question/24839702
#SPJ1
