Answer:
The two angles are 85 and 95 degrees
Step-by-step explanation:
Supplementary angles add to 180
Let x be one angle
The supplement is 10 less, ( x-10)
They add to 180
x+ ( x-10) = 180
2x -10 = 180
Add 10 to each side
2x-10+10 =180-10
2x= 190
Divide by 2
2x/2 =190/2
x=95
The other angle is 95-10 = 85
The two angles are 85 and 95 degrees
Answer:
x = - 8
Step-by-step explanation:
Calculate m using the slope formula and equate, since parallel lines have equal slopes.
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 5) and (x₂, y₂ ) = (x, - 13)
m =
=
and equating
=
( cross- multiply )
9(x + 4) = - 36 ( divide both sides by 9 )
x + 4 = - 4 ( subtract 4 from both sides )
x = - 8
Answer:
1. Five classes in the frequency distribution
2.The mid point of the third class is 24.5
3.The total number of frequency is 100
4.The relative frequency of the third class is (20/100=0.2)
5. We use n-1 because we are dealing with a sample data
6. The mean is 24.5
7. The value of the standard deviation is 11
Step-by-step explanation:
See attached picture for the solutions
Answer:
4. 21
5. 32
Step-by-step explanation:
First question:
sin(x) = opp/hyp = 22/63 = 0.3492
x = sin⁻¹(0.3492)
20.43. Rounded to the nearest degree, it would be 21.
Second question:
sin(x) = opp/hyp = 18/34 = 0.5294
x = sin⁻¹(0.5294)
31.96. Rounded to the nearest degree, it would be 32.
Let me know if you have any problems.
Answer:
(x) = √ x + 4
Step-by-step explanation:
step 1) replace f(x) with y
y = x² - 4
step 2) switch the x and y (because every (x, y) has a (y, x))
x = y² - 4
step 3) add 4 to both sides of the equal sign
x + 4 = y²
step 4) take the square root of both sides of the equal sign (the square root symbol cancels out the ²)
√ x + 4 = y
step 5) you know have the inverse of f(x) = x² - 4
(x) = √ x + 4