Answer:
x = 12.
Step-by-step explanation:
If P(5,4),Q(8,10) and R(x,18) are collinear
then the slope of PQ equals the slope of QR
hence:
(10 - 4)/(8 - 5) = (18 - 10)/(x - 8)
6/3= 8/(x - 8)
2 = 8/(x - 8)
multiplying both sides by (x - 8) gives:
2(x - 8) = 8
2x - 16 = 8
2x = 8 + 16 = 24
hence x = 12
Step-by-step explanation:
(72)¹⁴³ ≡ x (mod 7)
Since 72 ≡ 2 (mod 7),
72³ ≡ 2³ (mod 7) ≡ 1 (mod 7).
Therefore (72)¹⁴³ = (72³)⁴⁷ * (72²)
≡ 1⁴⁷ * 4 (mod 7) ≡ 4 (mod 7).
The answer is A.
Answer:
A
C
D
B
Step-by-step explanation:
Answer:
30 degrees
Step-by-step explanation:
If you were to draw a number line, 15 and -15 are both 15 units away from 0. So, 15 + 15 =30
Please brainlist!
<span>Total lot - house -other side
=(56 ft 9 in) - (34 ft 10 in) - (5 ft 5 in)
=(55 ft 21 in) - (34 ft 10 in) - (5 ft 5 in)
=16 ft 6 in
Convert to inches: </span>16 ft x 12 in/ft)+ 6 in= Total in inches<span>192 in + 6 in= Total in inches
198 in= Total in inches
Check: One side + house + other side = Lot width
(5 ft 5 in)+(34 ft 10 in)+(16 ft 6 in)=Lot width
56 ft 9 in=Lot width, which equals the given.</span>
