- Remember that slope-intercept form is y = mx+b, with b as the y-intercept and m as the slope.
Firstly, foil -2(x - 4): 
Next, subtract 6 on both sides and your slope-intercept form is<u> y = -2x + 2.</u>
Answer:
m<B = 60°
m<C = 60°
m<F = 80°
m<G = 80°
Step-by-step explanation:
m<B = 180° - 120° = 60°
m<C = m<B = 60° (Vertically opposite angles are equal)
m<F = 180° - (40° + m<C(60°)) = 80°
m<G = 180° - (m<H + m<B) = 180° - (40° + 60°) = 80°
The formula A=1/2bh is used to find the area of a triangle. You can find from the diagram that the base of this triangle is 9cm, and the height is 4cm. Plug those numbers into the area of a triangle formula.
A=1/2(9)(4)
Multiply to get 18 square cm, which is choice D.
Answer:
a ) x = 3
b ) 70
c ) 50
Step-by-step explanation:
( 15x + 5 ) and ( 22x + 4 ) are interior angles.
120 is the exterior angles.
Formula : -
Sum of two interior angles = Exterior angle
15x + 5 + 22x + 4 = 120
15x + 22x + 5 + 4 = 120
37x + 9 = 120
37x = 120 - 9
37x = 111
x = 111 / 37
x = 3
Therefore,
x = 3
Angle B
= 22x + 4
Substitute x = 3,
22x + 4
= 22 ( 3 ) + 4
= 66 + 4
= 70
Therefore,
the measure of angle B is 70.
Angle C
= 15x + 5
= 15 ( 3 ) + 5
= 45 + 5
= 50
Therefore,
the measure of angle C is 50.
ON = MN =x
ON² + MN² = OM²
x² + x² = 8²
2x² = 64
x² = 32
x = √32 = 4√2
