Answer:
1 : 20
Step-by-step explanation:
ratio of teachers : students = 12 : 240 ( divide both parts by 12 )
= 1 : 20
Smaller Angle: 49 degrees
Bigger Angle: 131 degrees
Note that supplementary angles add up to be 180 degrees. Knowing this and the information provided in the question, we can use the following system of equations:
x + y = 180 (showing they both add up to 180)
x + 82 = y (to show one angle is 82 more than the other)
We can use the substitution method to solve. Since the second equation ends in "= y" we can substitute the value of it into y for the first equation.
x + y = 180; x + 82 = y ==> x + (x + 82) = 180
And now, solve for x:
x + (x + 82) = 180
x + x + 82 = 180 > combine like terms
2x + 82 = 180
2x = 98
x = 49
So now we have the value for one of the angles! Remembering that the other angle is 82 degrees bigger, dd 49 + 82, which equals 131.
So, our two angle values are 131 and 49! This is correct since both angle measures add up to be 180, which also makes them supplementary!
Answer: option B is correct
Step-by-step explanation:
The formula for determining the area of cross section of a trapezoid is expressed as
Area = 1/2(a + b)h
Where
a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.
h represents the height of the trapezoid.
From the information given,
a = h1 = 11 inches
b = h2 = 15 inches
If It has an area of 52 inches² , then
52 = 1/2(11 + 15)h
Cross multiplying by 2, it becomes
52 × 2 = (11 + 15)h
104 = 26h
h = 104/26 = 4 inches
Answer:
Yellow
Step-by-step explanation:
y= -f(x) reflects over the x-axis which is what this graph shows. When you complete the factor of
-(x+3)(x-1)
Use the FOIL method to solve
(First, Outer, Inner, last) This will equal to the
y= -x^2-2x+3 as shown in the yellow box
Answer:
original (4,1)
Final (4,-7)
Step-by-step explanation:
The y axis stays the same and I just move the x axis 8 to the left.
