Let 11x + 15y + 23 = 0 be equation (1)
And 7x - 2y - 20 = 0 be equation (2)
Multiply equation (1) by 2:
22x + 30y + 46 = 0
Multiply equation (2) by 15:
105x - 30y - 300 = 0
Add equations (1) and (2):
22x + 105x + 30y - 30y + 46 - 300 = 0
127x - 254 = 0
127x = 254
x = 254/127
[x = 2]
Substitute x = 2 in equation (1) to find y:
11(2) + 15y + 23 = 0
22 + 15y + 23 = 0
15y + 45 = 0
15y = -45
y = -45/15
y = -3
Therefore, x = 2 and y = -3.
The answer is 12. 16 divided by 4 is 4. 4 x3 is 12
Answer:
∠3 = 115°
∠8 = 75°
∠6 = 105°
∠11 = 115°
∠9 = 65°
∠4 = 65°
Step-by-step explanation:
∠3 = 180 - 65 =115° because they are supplementary
∠8 = 75° because it is vertical to 75°
∠6 = 180 - 75 = 105° because they are supplementary
∠11 = 115° because it is corresponding to ∠3
∠9 = 65° because it is corresponding to ∠1
∠4 = 65° because it is vertical to 65°
Answer:
130 meters
Step-by-step explanation:
We have to let the "surface of the ocea" be at 0 height.
So,
anything above surface has POSITIVE height
and anything below surface has NEGATIVE height
The albatross is 100 m above, so we can say its height is:
+100 meters
The shark is 30 m below, so we can say its height is:
-30 meters
The difference in height is thus:
100 - (-30) = 100 + 30 = 130 meters
