Answer:
1) At least two equal sides
2) One pair of equal angles
Answer:

Step-by-step explanation:
In left small right triangle: we have the square of left side = 5^2 + y^2 = 25 + y^2
In right small right triangle: we have the square of right side = 8^2 + y^2 = 64 + y^2
In the large right triangle, we have (25 + y^2) + (64 + y^2) = (5 + 8)^2
89 + 2y^2 = 13^2 = 169
2y^2 = 169 - 89 = 80
y = 80/2 = 40
so

Answer:
A person who has height less than 5.2521 m can walk under the rope without hitting his/her head.
Step-by-step explanation:
Radius of earth = R
Length of rope around Earth = Circumference of Earth = 2πR
Now add 33 m to the length of the rope that means to increase the circumference
C = 2πR+33
Now,
C = 2πR'
⇒2πR' = 2πR+33
In order to find the height we need to find difference of the radii
⇒2πR'-2πR = 33

So, a person who has height less than 5.2521 m can walk under the rope without hitting his/her head.
Answer:
x+3y = 6
or, x = 6-3y.................(1)
3x+5y =6..........(2)
Substituting x = 6-3y in equation (2),
3 (6 - 3 y)+5 y =6
or, 18 - 9y +5y=6
or, y = 3
x = 6 - 3y = 6- 3.-3 = -3
9514 1404 393
Answer:
see attached
Step-by-step explanation:
We take ~p∧~q∨r to mean (~p∧~q)∨r because "and" normally has precedence over "or." The (~p∧~q) term will only come into play when both p and q are false. It will only affect the outcome if r is also false. This condition is the last line of the table.