Billy, let's recall what a linear pair of angles is:
• They are formed when two lines intersect.
,
• Two angles are said to be linear if they are adjacent angles formed by two intersecting lines.
,
• The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Upon saying that we have that:
• CAD and DAE are linear pairs
,
• CAD and CAB are linear pairs
,
• DAE and BAE are linear pairs
,
• DAE and DAC are linear pairs
Now, you are ready to select all the options that actually apply.
3*5=15 =75 ounces, so 75 ounces is your answer
Angle a is 22.62 degrees
and
angle b is 67.38 degrees
Answer:
Randy has eight $5 bills and nine $1 bills
Step-by-step explanation:
Randy needs $50.00
And we know that he his only $1.00 short, so he has $49.00
let's define:
x = number of $1 bills that he has
y = number of $5 bills that he has.
then:
x*$1 + y*$5 = $49
We know that he has one more $1 bills than $5 bills.
we can write this as
x = y + 1
So we have a system of two equations and two variables:
x*$1 + y*$5 = $49
x = y + 1
First we can see that the variable "x" is isolated in the second equation, now we can replace that in the other equation:
x*$1 + y*$5 = $49
(y + 1)*$1 + y*$5 = $49
now we can solve this for y.
y*$1 + $1 + y*$5 = $49
y*($1 + $5) = $49 - $1 = $48
y*$6 = $48
y = $48/$6 = 8
He has 8 $5 bills
and we know that:
x = y + 1
x = 8 + 1 = 9
he has 9 $1 bills.
Answer:
V = l×w×h units³
Step-by-step explanation:
The volume of a rectangular prism is V = l×w×h
