Answer:
x = 8
Step-by-step explanation:
These angles are alternate interior angles and m is parallel to n, so they're congruent, meaning that they're equal!
So we can make our equation:
6x - 2 = 46
6x = 48
x = 8
Hope this helps!
Answer:
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Answer:
<h3>C.) The area of EFGH is always ¹/₂ of the area of the rectangle. </h3>
Step-by-step explanation:
If EG is parallel to the side of the rectangle then lenght of EG is equal to width of rectangle.
If F and H are midpoints of sides of rectangle then FH is parallel to the side of rectangle {wich is perpendicular to the side parallel to EG}. That means the lenght of FH is equal to lenght of rectangle, and FH is perpendicular to EG.
Then FH is sum of hights of triangles EFG and EHG , and the area of EFGH is sum of areas of triangles EFG and EHG .
So the area of the rectangle:
The area of the kite:
No matter the height of the triangles, so no matter the location of the EG
Answer:
x = 8
y = -11
Step-by-step explanation:
In this question, we have to find out the value of "x" and "y".
Solve:
Lets solve for y first.
-2(3x + 4y = -20)
6x + 5y = -7
------------
-6x - 8y = 40
6x + 5y = -7
------------
-3y = 33
Divide both sides by -3
y = -11
We now know what the value of "y" is, now we must find the value of x. To do this, we would plug -11 to "y" in one of our equations.
Solve for x:
3x + 4y = -20
3x + 4(-11) = -20
3x - 44 = -20
Add 44 to both sides.
3x = 24
Divide both sides by 3
x = 8
Now we know that our answer are:
x = 8
y = -11