By using the Distributive Property, you would multiply 3 into the parenthesis (3 · x and 3 · -4)
3(x - 4) = 24
3x - 12 = 24
Then, you would solve like any normal one-step equation.
3x - 12 = 24
+12 +12
__________
3x 36
__ = __
3 3
x = 12, which is your final solution.
If you need any further explanations, please ask me :)
ANSWER: square root of 10
Rule: Pythagorean Theorem (a^2 + b^2 = c^2; side^2 + second side^2 = hypotenuse^2)
(substitute the missing side w/ a variable)
x^2 + 7^2 = (sqrt. 59)^2
x^2 + 49 = 59
x^2 = 10
x = sqrt. 10
Answer:
<U= 75°
<V=65°
x=50
Step-by-step explanation:
The interior angles to a triangle always equal 180°.
Set up your equation:
180= 40+x+15+x+25
Subtract 40 from 180 to get 140. Subtract 15 from both sides. Now you have 125. Subtract the 25 from both sides. You now have 100.
Divide the 100 by 2 to find what x is because your equation is now 100=2x
x=50
v= 50+15= 65 so V is 65°
U is 50+25 so U is 75°
To find the length of the hypotenuse we must use Pythagoras' Theorem: c^2 = a^2 + b^2, where c is the hypotenuse and a and b are side lengths
c^2 = a^2 + b^2
c^2 = 12^2 + 35^2
c^2 = 144 + 1225
c^2 = 1369
c = 37 cm
