Answer:
x = 14
Step-by-step explanation:
Since the triangles are similar, then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
12(3x - 2) = 32(x + 1) ← distribute parenthesis on both sides
36x - 24 = 32x + 32 ( subtract 32x from both sides )
4x - 24 = 32 ( add 24 to both sides )
4x = 56 ( divide both sides by 4 )
x = 14
Answer:
11.2 minutes
Step-by-step explanation:
If the element decreases by 6.1, every minute, it means that the mass lost every minute = 0.061 x 700g = 42.7g
The mass remaining after a minute = 657.30g
The equation that can be used to solve this question is :
700 - 42.7m = 220
m = minutes
Collect like terms
700 - 220 = 42.7m
480 = 42.7m
divide both sides of the equation by 42.7
m = 11.241218 minutes
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Here, the hundredth is less than 5, so zero would be added to 2. the answer is 11.2 minutes
Answer:
x = 182.53
Step-by-step explanation:
Use trigonometric ratios to find the whole side length (a) adjacent to 20° and the side length (b) adjacent to 57° respectively. Then find the difference. That would give you the value of x. That is: a - b = x
Let's solve.
✍️Finding the whole side length adjacent to 20°:
Opp = 87
Adjacent length = ? = a

Thus,

Plug in the values

Multiply both sides by a


Divide both sides by tan(20)



Finding the side length adjacent to 57°:
Opp = 87
Adjacent length = ? = b

Thus,

Plug in the values

Multiply both sides by b


Divide both sides by tan(57)



Therefore:
x = a - b
x = 239.03 - 56.50
x = 182.53
The new coordinates should be P= (-7, -8) O= (5, -7) and W= (-2,-4). Graph those points and you have your reflected triangle! I hope this helps!!
Answer:
Step-by-step explanation:
7(1/6)=7(1)/6=7/6