<span>How can you use addition and subtract to put together and separate measures of an angle and its parts
Adding and Subtracting angles can be put this way.
Complementary angles can be formed by two angles with total of 90 degrees.
</span><span>Supplementary angles can be formed by two angles with total of 180 degrees.
</span>
X + Y = 90 degrees
Y = 90 - X
X = 90 - Y
X + Y = 180 degrees
Y = 180 - X
<span>X = 180 - Y</span>
Answer:
16.5mm to. 1 decimal place
Step-by-step explanation:
Please check attachment for diagrammatic representation of the triangle.
Since one of the angles of the triangle is 90, this means that we are dealing with a right angled triangle
To find the length of AC, we make use of pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the square of the other two sides. The hypotenuse is the longest side of the triangle which we have as 17.88 mm
Mathematically therefore
17.8^2 = 6.6^2 + AC^2
AC^2 = 17.8^2 - 6.6^2
AC^2 = 283.28
AC = √(273.28)
AC = 16.53 mm
This is 16.5 to 1 decimal place
Answer: One DVD is $12 and one book is $1
Step-by-step explanation:
Let the DVD be d and the book be b.
Case 1:
3d + 4b = $40.......(1)
Case 2:
1d + 6b = $18........... (2)
In this equations above, I intend to eliminate variable d, so I'm going to multiply the coefficient of d in (1) to multiply (2)
3 × (1d + 6b = 18)
3d + 18b = 54........ .(3)
Then, subtract (1) from (3)
3d + 18b = 54
- ( 3d + 4b = 40)
3d - 3d + 18b - 4b = 54 - 40
0 + 14b = 14
b = 14/14
b = 1.
Then substitute 1 for b in (2)
1d + 6(1) = 18
d + 6 = 18
d = 18 - 6
d = 12.
(d,b) = (12,1)
