First angle = x
Second angle = x - 42
Sum both complementary angles = 90
x+x-42=90
2x=132
x=66⁰ - First angle
x-42=66-42=24
24⁰ - Second angle
We need Pythagoras theorem here
a^2+b^2 = c^2
a, b = legs of a right-triangle
c = length of hypotenuse
Let S=shorter leg, in cm, then longer leg=S+2 cm
use Pythagoras theorem
S^2+(S+2)^2 = (10 cm)^2
expand (S+2)^2
S^2 + S^2+4S+4 = 100 cm^2 [collect terms and isolate]
2S^2+4S = 100-4 = 96 cm^2
simplify and form standard form of quadratic
S^2+2S-48=0
Solve by factoring
(S+8)(S-6) = 0 means (S+8)=0, S=-8
or (S-6)=0, S=6
Reject nengative root, so
Shorter leg = 6 cm
Longer leg = 6+2 cm = 8 cm
Hypotenuse (given) = 10 cm
Answer:
A.)
Step-by-step explanation:
15 multiplied by 14 is the total number of women’s players.
14(m) is our unknown amount of men’s teams
Which has to be less than the amount of players who can register 476
Answer:
O x >9
The arrow points left
Step-by-step explanation:
<u><em>Explanation:-</em></u>
<em>Given 2 < x-7</em>
<em>adding '7' on both sides, we get</em>
<em>⇒ 2 + 7 < x -7 +7</em>
<em>⇒ 9 < x</em>
<em>⇒ x>9</em>
<em>Given inequality 2 < x -7</em>
The arrow points left
<u><em>Final answer</em></u>:-
solution is x >9
The arrow points left
Answer: Her weekly allowance is 24 dollars
Step-by-step explanation:
If she is left with $12 spending half of her weekly allowance the we could set up the equation.
1/2 of x = 12 where x is her weekly allowance.
1/2x = 12
x = 24
