Answer:

Step-by-step explanation:
we know that
The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.
so
In this problem

solve for x
Multiply by 2 both sides

subtract 2x both sides


Adds 1 both sides

Answer:
Step-by-step explanation:
5(y+4) = 4(y+5)
5y+20 = 4y + 20
5y = 4y
y=0
Answer:
hifgreeg33ctvtvunu
Step-by-step explanation:
highhb tug 5h6g6g5g5g
Yes, you are correct.
From the image, we can see 3 triangles, the large triangle and the two triangles that make the larger triangle.
All 3 of these triangles are similar since they're angle measurements are the same (can be proven by geometry).
We can gather the following information from the given information.
- The largest triangle (the one made up of two triangles) has a hypotenuse of 3+9=12, and a leg length of x. The hypotenuse to leg ratio is 12/x
- The second largest triangle has a hypotenuse length x and leg length 9. The hypotenuse to leg ratio is x/9
We know the hypotenuse to corresponding leg ratio must be equal since these two triangles are similar. Thus, we have the equation:
12/x = x/9
Using the cross product property gives us:
x² = 9 × 12
x² = 108
Taking the square root of both sides gives us:
x = √108
= 6 √3
Thus, your answer is correct. Great job!
Let me know if you need any clarifications, thanks!
Answer:
9
Step-by-step explanation:
X=Tickets bought
A=$40+$8x
B=$67+$5x
After 1 ticket bought it would be:
A=$48
B=$72
After 9 tickets bought:
A=$112
B=$112
From this you can see that Plan B is better for ones who would see 9+ movies as the recurring price would be lower. If you would only go to watch a couple movies, Plan A would be better.