Step-by-step explanation:
<u>Statements Reasons </u>
1 . ∠ABC and ∠CBD are a linear pair Given
2. m∠CBD = m∠EFG Given
3 . ∠ABC and ∠CBD are supplementary Definition of linear pair
4. m∠ABC + m∠CBD = 180° Definition of supplementary
5. m∠ABC + m∠EFG = 180° Substitution property
6. ∠ABC and ∠CBD are supplementary Definition of supplementary
Answer:
x + y = 90 - - - (1)
y = 1/4x - - - - (2)
Step-by-step explanation:
x = larger acute angle
y = smaller acute angle
Recall:
A right angle measures 90°
Sum of angles in a triangle = 180°
y = 1/4x
Hence :
90 + x + y = 180
x + y = 180 - 90
x + y = 90 - - - (1)
y = 1/4x - - - - (2)
Put y = 1/4x in (1)
x + 1/4x = 90
1.25x = 90
x = 90 / 1.25
x = 72
x + y = 90
72 + y = 90
y = 90 - 72
y = 18
Answer:
(f+g)(x)=x^2+8+x-2
=x^2+x+6
The answer is the 3rd one in your options.
Answer:
Step-by-step explanation:
if the garden is a square, then it each side of the garden would be 20. if there's 16 congruent square plots, it means 4 sides of a plot per side of the garden, meaning that the side length of the plot would be 5 meters