Answer:
it is 36 liters
Step-by-step explanation:
think of it like your subtracting 154 from 190 if you subtract 100 from 190 it will be 90 and if you subtract 50 from 90 it will be 40 so if you subtract 4 from 40 it will be 36 your answer.
Answer:
x = 34
∠S = 38
∠T = 111
Step-by-step explanation:
Angles in a triangle add up to equal 180
If ΔRST is a triangle and ∠R, ∠S and ∠T are angles in that triangle
Then ∠R + ∠S + ∠T = 180
That being said we want to create an equation to solve for x
If angles in a triangle have a SUM of 180
Then, 31 + x + 4 + 3x + 9 = 180
We now solve for x
Step 1 combine like terms
31 + 4 + 9 = 44
x + 3x = 4x
we now have 44 + 4x = 180
step 2 subtract 44 from each side
44 - 44 cancels out
180 - 44 = 136
We now have 136 = 4x
Step 3 divide each side by 4
4x / 4 = x
136 / 4 = 34
We're left with x = 34
Now we want to find the measures of ∠S and ∠T
To do so, we substitute 34 for x in their given expression
∠S = x + 4
* substitute 34 for x *
∠S = 34 + 4
34 + 4 = 38
Thus ∠S = 38°
∠T = 3x + 9
* substitute 34 for x *
∠T = 3 ( 34 ) + 9
34 * 9 - 102
102 + 9 = 111
Thus, ∠T = 111°
Answer:
15
Step-by-step explanation:
If you replace each answer choice with the varibale, (x) then 15 would be the only choice that fits properly.
Equation:
20-x = 35-(2x)
when replacing 15 with x this is your new equation...
20-15 = 35-(2x15)
5 = 35-30
5=5
Answer:
23
Step-by-step explanation:
i don't know if it is correct, it is just my guess
Answer:
a) x (x-9) (x+3)
b) x (x+4)(x-4)
c) (x)(x)(x + 16)
Step-by-step explanation:
We're going to equal the functions to zero and find their roots by factorizing:
a) f(x)=x³-6x²-27x
x³-6x²-27x = 0
x(x²-6x-27) = 0
⇒x (x-9) (x+3)
b) f(x)=x³-16x
x³-16x = 0
x (x²-16) =0
⇒x (x+4)(x-4)
c) f(x)=x³+16x²
x³ + 16x² = 0
x² ( x +16)
⇒(x)(x)(x + 16)
