Answer:
C
Step-by-step explanation:
A
(m² - 3m + 2) / (m² - m)
we see due to a little bit of experience with expressions and multiplications of expressions that
(m² - 3m + 2) = (m - 2)(m - 1)
(m² - m) = m(m - 1)
so,
(m - 2)(m - 1) / (m(m - 1)) = (m - 2) / m
so, that's not it.
B
(m² - 2m + 1) / (m - 1)
we see again
(m² - 2m + 1) = (m - 1)(m - 1)
so,
(m - 1)(m - 1) / (m - 1) = m - 1
so, that's not it.
C
(m² - m - 2) / (m² - 1)
we see again
(m² - m - 2) = (m - 2)(m + 1)
and
(m² - 1) = (m + 1)(m - 1)
so,
(m - 2)(m + 1) / ((m + 1)(m - 1)) = (m - 2) / (m - 1)
yes, that is the solution.
D
(2m² - 4m) / (2(m - 2))
2m(m - 2) / (2(m - 2)) = 2m/2 = m
no, that is not a solution.
Answer:
3
Step-by-step explanation:
Reduce the expression using the order of operations
1. a= 60 (vertically opposite angles)
b= 360-(60+60)=240/2= 120 (angles at a point)
c= 120 (vertically opposite angles with b)
2. c= 90-40= 50 (vertically opposite angles)
b=a=360-90-90=180/2=90 (angles at a point)
3. a= 180-52-51= 77 (angles on a straight line)
b=52 (angles at a point)
d=51 (angles at a point)
c=77 (angles at a point)
4. a= 60 (vertically opposite angles)
b= 360-(60+60)=240/2= 120 (angles at a point)
c= 120 (vertically opposite angles with b)
e=65
d=f= 360-65-65=230/2=115
h=55
i=g=360-55-55=250/2=125
5. b=163
a=90
e=70
d=360-70-70=220/2=110
c=360-163-163=34/2=17
Hope this helps!
For this you would want to break this figure up with familar shapes. You can do two triangles and one big rectangle.
First triangle:
(3)(2)(1/2)= 3 feet squared
Second Triangle:
(3)(4)(1/2)= 6 feet squared
Rectangle:
(11)(3)= 33 feet squared
Now you add:
33+3+6= 42 feet squared
So, for this hole you will need 42 feet squared of outdoor carpet
Answer:
Angle y is also 40 degrees. Angle x and y are vertical angles, thus they have the same angle measure.
