Answer:
x = 24.5
Step-by-step explanation:
the angles form a straight line, and a straight line equals to 180°
=> (5x + 8) + (3x - 24) = 180
=> 8x = 196
=> x = 24.5
Answer:
D.)
Step-by-step explanation:
y = 5/x
so when the value of x triples, the new X becomes;
X = 3x
So,
Y = 5/ X
=> Y = 5/3x
=> Y = 1/3 . 5/x
=> Y = 1/3 . y
so the new value of y ( Y ) is 1/3 times original y.
Hence, D. is the answer
Answer: have you found the answer yet????
Answer:
1694 ft
Step-by-step explanation:
The adjacent side of this right triangle is 75 feet in length, and the two given angles are 90 degrees and 67.5 degrees. Since the adjacent side is given and the opposite side is what we are looking for we can use
tan(x) = opposite/adjacent insert the given information into the equation
tan(67.5) = opposite / 75ft multiply both sides of the equation by 75
tan(67.5)*75 = opposite leaving us with the target variable
once you plug that equation into a calculator you get 1694 as your nearest whole answer.
Answer:
(4, 6 )
Step-by-step explanation:
Given the 2 equations
3x + 4y = 36 → (1)
y = - 
x + 8 → (2)
Substitute y = - x + 8 into (2)
3x + 4(- x + 8) = 36 ← distribute and simplify left side
3x - 2x + 32 = 36
x + 32 = 36 ( subtract 32 from both sides )
x = 4
Substitute x = 4 into (2) for corresponding value of y
y = - × 4 + 8 = - 2 + 8 = 6
solution is (4, 6 )
