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.
1
2
3
6
9
18
27
54
18 is the greatest
5050-3030=she needs 2020 markers.
2020/1010=2, so she needs to buy 2 more packs
-25+4y=35
*Subtract 35*
-25+4y-35=0
*add 25 (to cancel out)*
4y-35=25
*add 35 (to cancel out)*
4y=60
*Divide by 4 to get y on its own*
y=15
Hope this helps :)
