Answer:
∠JKP = 35°
Step-by-step explanation:
since P is the incenter, then lines to incenter bisect the corner angles:
7x - 6 = 5x + 4
subtract 5 x from both sides of the equation:
2x - 6 = 4
add 6 to each side:
2x = 10
divide both sides by 2:
x = 5
∠KJP = 7(5) - 6 = 29°
∠LJP = 5(5) + 4 = 29°
then ∠KJL = 29° + 29° = 58°
∠KLJ = 26° + 26° = 52°
∠JKL = 180° - 58° - 52° = 70°
∠JKP = 1/2 ∠JKL = 1/2(70°) = 35°
there might be a more direct way about it but this was the least confusing way I know to explain it.
When we add rational numbers we simply add or subtract the fraction or part of a whole so in this particular equation we would subtract 1 from 4 because adding a negative means the same thing. We then subtract 2/3 from 3 and get 2 1/3 Comment below if more details are required
Answer:
average of the no. = sum of all no. / no. of terms
= 2 + 5 + 8 + 1 / 4
= 16/4
= 4
4 is the answer
Step-by-step explanation:
Use the height equation:
y = ½ a t² + v t + h
where y is the height at time t,
a is the acceleration due to gravity,
v is the initial velocity,
and h is the initial height.
Here, a = -16, v = 0, and h = 90.
y = -8t² + 90
When the egg lands, y = 0.
0 = -8t² + 90
8t² = 90
t² = 45/4
t = 3.35
It takes approximately 3.35 seconds for the egg to land.
1 apple cost Rs 10, and 10 apples are at Rs11.
1 apple cost Rs 10
10 apples will be bought at 10*1 = 10 Rs10.
Presuming the 10 apples are sold at Rs11.
Gain = Rs11 - Rs10 = Rs1
Gain% = (1/10)*100% = 10%
Gain % = 10%
Hope this helps.