The midpoints are (8,3) and (6.5,6).
<u>Step-by-step explanation</u>:
Midpoint formula = ((x1+x2)/2 , (y1+y2)/2)
(x1,y1) = (5,2)
(x2,y2) = (11,4)
Midpoint = ((5+11)/2 , (2+4)/2)
⇒ ((16/2) , (6/2))
⇒ (8,3)
(x1,y1) = (3,8)
(x2,y2) = (10,4)
Midpoint = ((3+10)/2 , (8+4)/2)
⇒ ((13/2) , (12/2))
⇒ (6.5,6)
9514 1404 393
Answer:
A) SQ is the geometric mean between the hypotenuse and the closest adjacent segment of the hypotenuse.
Step-by-step explanation:
In this geometry, all of the right triangles are similar. That means corresponding sides have the same ratio (are proportional).
Here, SQ is the hypotenuse of ΔSQT and the short side of ΔRQS.
Those two triangles are similar, so we can write ...
(short side)/(hypotenuse) = QT/SQ = QS/RQ
In the above proportion, we have used the vertices in the same order they appear in the similarity statement (ΔSQT ~ ΔRQS). Of course, the names can have the vertices reversed:
QT/SQ = SQ/QR . . . . . QS = SQ, RQ = QR
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When this is rewritten to solve for SQ, we get ...
SQ² = QR·QT
SQ = √(QR·QT) . . . . SQ (short side) is the geometric mean of the hypotenuse and the short segment.
well it most simply could be 50:40 hope it helps!!
Answer:
Option (A)
Step-by-step explanation:
AE and RV are the two line segments intersecting at a point N.
Therefore, ∠ANR ≅ ∠ENV [Vertical angles are equal in measure]
(8x + 12)° = (5x + 57)°
8x - 5x = 57 - 12
3x = 45
x = 15
Since, m∠ENV = 5(15) + 57
= 75 + 57
= 132°
Therefore, Option (A) will be the answer.
Answer:The answer would be 35 miles per day.
Step-by-step explanation:
We know the x axis is in days and the y axis is the distance in miles. There are only three answers left. We can also cross out 50 miles per day since the rate of change is less then 50. The answer is 35 miles per day because if the rate of change were to be 25 in 4 days the distance would be 100 miles, while is you look at where the point is at it is closer to 150.
