Answer:
The adjacent angles are: 72 and 108
Step-by-step explanation:
Given
Angle Ratio = 3 : 2
Required
Find the measure of each angle
Let the angles be
Such that:
--- adjacent angles of a parallelogram
and
--- given
Convert to fraction
Cross Multiply:
Make x the subject:
becomes
Take LCM
Recall that:
<em>Hence, the adjacent angles are: 72 and 108</em>
Answer:
see attached diagram
Step-by-step explanation:
First, draw the dashed line 50x+150y=1500 (dashed because the inequality is without notion "or equal to"). You can do it finding x and y intercepts.
When x=0, then 150y=1500, y=10.
When y=0, then 50x=1500, x=30.
Connect points (0,10) and (30,0) to get needed dashed line.
Then determine which region (semiplane) you have to choose. Note that origin's coordinates (0,0) do not satisfy the inequality 50x + 150y>1500, because
This means that origin lies outside the needed region, so you have to choose the semiplane that do not contain origin (see attached diagram).
Answer:
C) I and III only
Step-by-step explanation:
Let full pool is denoted by O
Days Hose x takes to fill pool O = a
Pool filled in one day x = O/a
Days Hose y takes to fill pool O = b
Pool filled in one day y = O/b
Days Hose z takes to fill pool O = c
Pool filled in one day z = O/c
It is given that
a>b>c
Days if if x+y+z fill the pool together = d
1 day if x+y+z fill the pool together
I) d < c
d are days when hose x, y, z are used together where as c are days when only z is used so number of days when three hoses are used together must be less than c when only z hose is used. So d < c
III)
Using (1)
Similarly
So,