The converse of the statement "If it is summer, then it is warm outside' would be "if it is warm outside then it is summer" Hope this helped!
Answer:<em> I</em>n a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse. The shorter leg is the side opposite the 30 degree angle, therefore the shorter leg = 30/2 = 15
By the Pythagorean theorem
the longer leg = √(30² - 15²) = √(900-225) = √675 = 15√3 ≈ 25.98 units
Answer:
25=10+w
Because the value of w that makes the equation true is
w=25_10
w=15
<u>STEPS:</u>
1) set up an equation. use x as a variable
2x + 3x = 25
2) solve the equation for x:
5x = 25
x = 5
3) Now that you know the value of x, substitute it into the expression for how any girls there are, which is "3x" (since the ratio of BOYS to GIRLS is 2:3):
3x
= 3(5)
= 15
So 15 is your answer, and there are <u>15 girls in the class.</u>
Answer:
Step-by-step explanation:
1) Simplify 2 × to
×
2) Factor out the common term 4
·
3) Factor out the common term 2
×
4) Simplify
·
5) Simplify (2y/7-3)(y-3)/y+3 to (2y-3x7)(y-3)/y(y+3)
2x(2y-3x7)(y-3)/7(y+3)
6) Simplify 3 x 7 to 21
2 x(2y-21)(y-3)/(y-3)/7(y+3)
7) Simplify