Answer:
∡a has a vertical angle sibling of 40°, and vertical angles are always congruent.
∡b is the 3rd angle in a triangle, the other two are 40° and 90°, recall all interior angles in a triangle add up to 180°.
∡c is a linear angle, namely an angle on the same flat-line as another, and linear angles always add up to 180°.
Step-by-step explanation:
Answer:
A.27
B.6
Step-by-step explanation:
A. -3(9)=27
B.9/-3+9=-3+9=6
Plug in what its says a and b is equal to
Converting to slope intercept form:-
5x - 4y = 4
-4y = -5x + 4
y = 5/4 x - 1 so the slope of the line = 5/4
Finding the line that passes through ( -8, 2) with the same slope:-
y - 2 = 5/4(x - -8) (Point-slope form)
y = 5/4x + 10 + 2
y = 5/4 x + 12 is the answer is slope intercept form
In standard form :-
4y = 5x + 48
5x - 4y = -48 is the answer is standard form
Answer:
{-2/3, 2/3, 3}
Step-by-step explanation:
The equation can be factored by grouping.
f(x) = (9x^3 -27x^2) +(-4x +12)
f(x) = 9x^2(x -3) -4(x -3)
f(x) = (9x^2 -4)(x -3)
We recognize the first factor as the difference of squares, so know it can be further factored to give ...
f(x) = (3x -2)(3x +2)(x -3)
The zeros are the values of x that make these factors be zero:
3x -2 = 0 ⇒ x = 2/3
3x +2 = 0 ⇒ x = -2/3
x -3 = 0 ⇒ x = 3
The zeros of the polynomial are x = -2/3, 2/3, 3.
Answer: the length of one side of the bedroom is 24 feet.
the length of one side of the closet is 3 feet
Step-by-step explanation:
Let x represent the length of one side of the bedroom.
Let y represent the length of one side of the closet.
The sides of the bedroom were 8
times as large as the sides of the closet. This means that
x = 8y
the sum of the areas of the two was
585 square feet. The area of the room is x^2 and the area of the closet is y^2. Therefore,
x^2 + y^2 = 585 - - - -- - - -1
Substituting x = 8y into equation 1, it becomes
(8y)^2 + y^2 = 585
64y^2 + y^2 = 585
65y^2 = 585
y^2 = 585/65 = 9
Take square root of both sides of the equation,
y = √9 = 3
x = 8y = 8×3 = 24
