FE=14.42
ED=9.01
angle D=58
hope this helps
Answer:
4√10
Step-by-step explanation:
Hello!
Let's first simplify the radical.
We can do this by expanding the radical:
We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.
Let's work with √45:
- √45 can be written as √9 * √5 (using the rule √ab = √a * √b)
- √9 simplifies to 3, so it is 3√5
Now we can simplify the operation in the parenthesis by combining like terms:
- 3√5 + √5
- √5 + √5 + √5 + √5
- 4√5
Now using the same rule as above, we can multiply the values:
Your solution is 4√10
It would be 16 more 6th graders that are not in either band or orchestra.
15 6th Graders in band
9 6th Graders in both classes
+18 6th Graders in orchestra
-----
42 6th Graders in either class
100 6th Graders in total
-42 6th Graders in either class
-------
58 6th Graders in neither class
58-42= 16 more 6th Graders that are not in either class
You're welcome :)
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.
