Answer:
x = 12
Step-by-step explanation:
<u>To find "x"</u>, we need to <u>isolate it</u>. This means move "x" to the left side, and everything else to the right side.
When moving a number, do its <u>reverse operation</u> to the entire equation.
x + 9 = 2x - 3
x - 2x + 9 = 2x - 2x - 3 Subtract 2x from both sides
-x + 9 = -3
-x + 9 - 9 = -3 - 9 Subtract 9 from both sides
-x = -12
-x/-1 = -12/-1 Divide both sides by -1 to get rid of the negatives
x = 12 Final answer
Check your answer. Split the equation for the left and right sides. Substitute "x" for the answer "12".
LS: (left side)
x + 9
= 12 + 9 Add
= 21
RS: (right side)
2x - 3
= 2(12) - 3 Multiply before subtracting
= 24 - 3 Subtract
= 21
Both sides equal to 21 when "x" is 12.
LS = RS left side equals right side
Therefore the answer is correct.
Answer:
I believe the answer is x=7
Step-by-step explanation:
<em>3x</em> and<em> 4x-1 </em> are corresponding sides and so are <em>14</em> and <em>18</em>.
You cross multiply with the smaller triangle lengths at the top.
3x/(4x-1)= 14/18
Cross multiply to get
18(3x)= 14(4x-1)
54x=56x-14
Subtract 54x on the other side and add 14 to the other (or subtract 56x to the other side)
you get 14=2x and divide 14 by 2 to get x=7
From this detail that is a right isosceles triangle result that the angles from the base has measure of 45 degrees
- there is given again that the length of legs is 6"
- than we drawn the height from the right angle on hypotenuse and use sin45 we get
but we need to know that 6" = 6*2,6 = 15,6 cm = 0,156 m
cos 45° = (half of hypotenuse)/6"
sqrt2 /2 = (half of hyp) /6"
half of hyp. = 6"sqrt2 /2 = 3sqrt2" so than the length of hypotenuse will be
equal 2*3sqrt2 = (6sqrt2)"
Answer:
7b - 7
Step-by-step explanation:
You can use distributive property which is x (a + b) = x*a + x*b and x (a - b) = x*a - x*b. Therefore, the expression is 2*b + 2*4 + 5*b - 5*3 which is:
2b + 8 + 5b - 15, which is, if you combine like terms:
7b - 7
