Answer:
135
Step-by-step explanation:
First find the measure of CBF
CBF is a straight line so therefore it measures 180*
BFE = 75*
CBD = 45*
75 + 45 = 120*
180 - 120 = 60
60 + 75 = 135*
Therefore DBF measures 135*
Answer:
x = 55°, y = 70° and z = 125°
Step-by-step explanation:
Step 1 - Calculate ∠x:
As all angles on a line add up to 180°
125 + x = 180
x = 180 - 125
x = 55
Step 2 - Calculate ∠y:
As the triangle is an isosceles triangle, as evident by the two sides of equal length:
180 = y + 55 + 55
180 = y + 110
y = 180 - 110
y = 70
Step 3 - Calculate z:
180 - 55 = z
z = 125
Meaning that x = 55°, y = 70° and z = 125°
Hope this helps!
Answer:
y intercept is -23
Step-by-step explanation:
Here we are given three coordinates and are asked to find y intercept of the line passing through these points.
We thus find the equation of this line by two point form
the form says
(y-y1)/(x-x1) = (y2-y1)/(x2-x1)
Here (x1,y1) = ( -36 , 1 )
and (x2,y2) = ( 13,-54)
Substituting the values we get
(y-1)(x+36)=(1-13)/(-36-(-54))
(y-1)(x+36)=(-12)/(-36+54)
(y-1)(x+36)=(-12)/(18)
y-1=-2/3 ( x+36)
In order to determine the y intercept we are required to leep x = 0 in above equation and solve for y
y-1 = -2/3 (0+36 )
y-1= (-2/3) x (36 )
y-1 = -2 x 12
y-1 = -24
adding 1 on both hand sides
y = -24 +1
y=-23
Answer:
0 = -3x -5 +x²
Step-by-step explanation:
In this context, "a" refers to the coefficient of x². Here, you're looking for the equation with a term of x², not -x² or -5x². There is only one answer choice that matches this requirement. It is shown above.
__
"b" refers to the coefficient of x, so the equation needs to have a term of -3x.
"c" refers to the constant, so the equation needs to have a constant of -5.
Taken together, you're looking for an equation equivalent to x² -3x -5 = 0.
