Answer:
Measures are SV=9 units., SY=14 units, YW=
, YW=
Step-by-step explanation:
Given Y is the circumcenter of ΔSTU. we have to find the measures SV, SY, YW and YX.
As Circumcenter is equidistant from the vertices of triangle and also The circumcenter is the point at which the three perpendicular bisectors of the sides of the triangle meet.
Hence, VY, YW and YX are the perpendicular bisectors on the sides ST, TU and SU.
Given ST=18 units.
As VY is perpendicular bisector implies SV=9 units.
Also in triangle VTY

⇒ 
⇒ VY^{2}=115
As vertices of triangle are equidistant from the circumcenter
⇒ SY=YT=UY=14 units
Hence, SY is 14 units
In ΔUWY, 
⇒ 
⇒
⇒ YW=
In ΔYXU, 
⇒ 
⇒
⇒ YW=
Hence, measures are SV=9 units., SY=14 units, YW=
, YW=
Answer:
52% are girls
Step-by-step explanation:
We know that there are 650 sixth-graders and 338 of them are girls, we are then asked to find the percentage of how many are girls.
We have the fraction 338 over 650 but need to reduce it.
To solve this, we need to find the GCF of 650 and 338, which is 26, so divide both the numerator and denominator by 26.


Now divide the 13 and 25 :
13 / 25 = 0.52
0.52 * 100 = 52%
Therefore, 52% of the sixth-graders in the school are girls
A standard Deck of cards has 52 cards. there are 4 5s because there are 4 kinds of cards (spades, hearts, diamonds, clubs). therefore, the theoretical probability of choosing a 5 is 4/52 or 1/13
Since length is 3 less than 1/3 width, set up equation l=(1/3)w-3. Because P=2(l+w), substitute l with the euation and get P=2(4/3w-3)