Answer:
see below
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles.
139 = <Q + <P
= 6y+1 + 4y+8
= 10y+9
139 = 10y+9
Subtract 9 from each side
130 = 10y
Divide each side by 10
13 = y
<P = 4y+8 = 4*13+8 = 60
<Q = 6y+1 = 6*13+1 =79
QPR = We know this makes a straight line with 139
= 180-139 = 41
ANSWER: $265.825
You Multiply 245 time .085 or 8.5% and add the answer to $245
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Answer:
-2x - 8
Step-by-step explanation:
Combine like terms
-5x - 7x = -2
Therfore you have
-2x - 8
Answer:
45 degrees for 8
135 degrees for 9
48 for 10
Yes a square is a rectangle
Next ones.
Sut = 21 becuase x=5
7
Step-by-step explanation:
Last one:
x^2 + 8 = 3x + 36
- 8 - 8
x^2 = 3x + 28
-3x -3x
x^2 - 3x = 28
(x · x) - 3x = 28.
This was were a little guess work was used,
I found that any number lower than 7 is less than 28 when pluged into x and any above is higher.
Hence x = 7
So
x^2 + 8 = 7^2 + 8
7 x 7 = 49. 49 + 8 = 57.
and
3x+36 = 7 x 3 + 36
7x3 = 21. 21 + 36 = 57.
Both lines are equal so x is indeed 7.
The RSTU rectangle
3x+6 = 5x-4
+4 +4
3x+10 = 5x
-3x -3x
10 = 2x
10/2 = 5
5 = x or x = 5
plug it in now
3 x 5 = 15. 15 + 6 = 21
and
5 x 5 = 25. 25 - 4 = 21
so x = 5
8-10
QRS = 45 degrees because bisects the square with a diagonal line from corner to corner
PTQ is a 135 degrees because it is wider than a 90 degrees angle and meets both upper corner from the middle of the square making it 135 degrees.
SQ = 48 because RT = 24 and RT is half the length of SQ meaning its length would be 48
Or
SQ= 24 degrees because RT = 24 and if RT was to continue on the line it is on it will reach the length of SQ.
The LCD for 3/10,20/25,and 18/75 is 150