Answer:
P = 49°
R = 131°
Q = 114°
S = 66°
Step-by-step explanation:
in a quadrilateral inscribed in a circle, the opposite angles are always supplementary, meaning they add up to 150
we are given opposite angles P and R (S is not given so we can't use Q and S)
P+R = 180
5y+14 + 15y + 26 = 180
20y + 40 = 180
20y = 140
y = 7
so...
P = 5(7) + 14 = 35 + 14 = 49
R = 180-49 (since opposite angles in inscribed quadrilaterals are supplementary) = 131
Q = (7)^2 + 65 = 49 + 65 = 114
S = 180-114 = 66
15. 1hour 7minutes and 5seconds
Answer:
Step-by-step explanation:
<u>The area of the flooring:</u>
- A = 1/2*8*(13.5 - 7.5) + 1/2(8 + 4 + 18)(7.5) = 136.5 ft²
<u>Cost of flooring:</u>
Answer:
feet tall
Step-by-step explanation:
Ajax is "5 and 1 fourth feet tall", which can be written as the mixed number 
.
His sister is "3 eighths foot shorter", so she's 3/8 feet shorter than 5 1/4.
So, this is just a subtraction problem:
To solve this, we want to convert 5 1/4 into an improper fraction, which is: 
. Now, we want to find a common denominator. In this case, that common denominator is 8, so 
.
Finally, we subtract 3/8 from 42/8: 
. So, Ajax's sister is 39/8 feet. Converting this into a mixed number, we have: 39/8 = 4
.
Therefore, Ajax's sister is feet tall.
Hope this helps!
9514 1404 393
Answer:
C 24
D 25
Step-by-step explanation:
Consider the choices offered:
5 and 7 will not form a triangle* with any of the other lengths
7 and 12 will not form a triangle with any of the other (longer) lengths
7 and 24 will form a triangle with the other possibilities, 25 and 29. (needs further consideration)
7 and 25 will not form a right triangle with 29, because a right triangle cannot have 3 odd-length sides.
__
<em>Further consideration</em>
7^2 +24^2 = 49 +576 = 625 = 25^2 . . . . checking Pythagorean theorem
The side measures 7, 24, 25 will form a right triangle.
_____
* A triangle can be formed from three segments only if the sum of the shortest two exceeds the length of the longest one.
