Answer:
Triangle rsu = Triangle tus
Statements Reasons
UR ≅ TS Definition of Rectangle
US ≅ US Reflexive Property
<U, <T, <R, <S are all congruent and right angles
Definition of Rectangle
ΔRSU ≅ ΔTUS Side, Angle, Side
UR ≅ TS CPCTC
Just draw a reverse angle,hence you get comparison.
So, satisfying S-S-S
RUS ≅ SUT
RSU ≅ TUS
So, angle
URS = angle TUS
2. Pythagoras Theorem
Triangle RUS
A^2 + B^2 = C^2
Uu^2 + Ss^2 = Rr^2
√Rr = Rr^2 = x
Triangle TUS
A^2 + B^2 = C^2
Ss^2 + Uu^2 = Tt^2
√Tt = Tt^2 = x
UR measure / sin (60) x (90) = US measure.
ST measure / sin (60) x (90) = US measure.
Proves angles RSU = 30 degree
Proves angles TUS = 30 degree
As all adjacent angles in a triangle add up to 180 degree.
Answer:
The radius is 10
Step-by-step explanation:
Given
Required
The radius
Rewrite as:
Subtract 81 from both sides
Expand
Factorize
Factor out y - 9
Express as squares
The equation of a circle is:
By comparison:
Answer:
6:1:2
Step-by-step explanation:
Let a = Able's score, b = Ben's score, and c = Cal's score.
Since
Able's score was 6 times Ben's score, that means a = 6b.
Cal's score was a third of Able's score, so that means c = a/3. And since a = 6b, that means c = 6b / 3 = 2b.
Thus, the ratio of Able's score to Ben's score to Cal's score, a:b:c, is 6:1:2, because c is twice as much as b and a is 6 times as much as b.
I'm not sure you can simplify that fraction
