Answer:
x = 10
Step-by-step explanation:
The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles. The two non-adjacent interior angles opposite the exterior angle are sometimes referred to as remote interior angles.
In the given problem, the exterior angle is < JUV, and its corresponding remote interior angles are < V and < W.
Establish the following equation according to the exterior angle theorem:
< V + < W = < JUV
88° + (5x + 1)° = (14x - 1)°
Solve for x algebraically:
88° + 5x + 1 = 14x - 1
89 + 5x = 14x - 1
89 + 1 + 5x = 14x - 1 + 1
90 + 5x = 14x
90 + 5x - 5x = 14x - 5x
90 = 9x
90/9 = 9x/9
10 = x
Therefore, the value of x = 10.
Step-by-step explanation:
The marked price of an article is 25% above the SP and the CP is 20% below the selling price. What is the rate of discount and the profit percentage?
Let C, M & S denote cost-price, marked-price & sell-price respectively of the article.
Hence from above data we get following relations,
M = (1 + 25/100)*S = 1.25*S ….. (1a)
C = (1 - 20/100)*S = 0.80*S ….. (1b)
From (1a) we get,
S = (100/125)*M = (4/5)*M
or S = (1 - 1/5)*M = (1 - 20/100)*M ….. (2a)
From (1b) we get,
S = (100/80)*C = (5/4)*M
or S = (1 + 1/4)*C = (1 + 25/100)*C ….. (2b)
Therefore
It is evident from (2a) that
the discount percentage = 20% [Ans]
It is evident from (2b) that
the profit percentage = 25% [Ans]
The answer is quadrilaterals. d
Answer:
One fourth (1/4) of anything is 25%.
100% is a whole (the committe). Divide the whole (100%) by 4 to get 25%. 1/4
Answer: C
Step-by-step explanation:
This describes an expotential function
At t = 0, P = 70
Therefore, C = 70
P = 70 e^kt
Solve for k by plugging in (4,360)
k = 0.4094
plug in t(7 hours)
70 e^(0.4094*7)
The answer roughly equals C
