4/10 = 40/100
40/100 + 55/100 = 95/100
95/100 is your answer
simplest form: 19/20
hope this helps
You probably jsut need to use law of cosines in order to solve for angle A
or
Answer:
arc RP = 84 degrees
Step-by-step explanation:
If the angle NPQ is 102 degrees, we can find the angle NPM:
NPM + NPQ = 180
NPM + 102 = 180
NPM = 78 degrees.
Now, with the triangle NPM, we can find the angle MNP:
60 + 78 + MNP = 180
MNP = 180 - 60 - 78 = 42 degrees
The angle MNP is inscribed in the circle, and is related to the arc RP:
arc RP = 2 * MNP
arc RP = 2 * 42 = 84 degrees
Create an equation using the formula for area of a rectangle; area = width * length
(X + 2)(x + 3) = 600
Multiply the dimensions.
X^2 + 3x + 2x +6 = 600, or simplified x^2 +5x + 6 = 600.
Subtract 600 to get the following:
X^2 + 5x - 594 = 0
Factor by x:
(X - 22)(x + 27) = 0
Solve for x
X - 22 = 0
X = 22.
Use the POSITIVE VALUE of x as you can’t have a negative area for a room.
Then substitute 22 for x to get the dimensions
(22+ 2) or 24 for length and (22+3) or 25 for width.
