Let x and y represent angles 1 and 2, respectively. The given relations tell you
... x + y = 180 . . . . the sum of measures of a linear pair is 180°
... y = 2x + 6 . . . . angle 2 is 6 more than twice angle 1
One way to solve these is to add twice the first equation to the second.
... 2(x + y) + (y) = 2(180) + (2x +6)
Now, subtract 2x
... 3y = 366
... y = 122 . . . . divide by the coefficient of y
The measure of angle 2 is 122°.
Answer: See explanation
Step-by-step explanation:
Let the cost for insuring the applicant = a.
Let the cost for insuring the spouse = b
Let the cost for insuring the first child= c
Let the cost for insuring the second child = d
A 35-year-old health insurance plan and that of his or her spouse costs $301 per month. This means that:
a + b = $301.
That rate increased to $430 per month if a child were included. This means the cost of a child will be:
= $430 - $301
= $129
The rate increased to $538 per month if two children were included. This means the cost for the second child will be:
= $538 - $430
= $108
The rate dropped to $269 per month for just the applicant and one child. His will be the cost of the applicant and a single child. This can be written as:
a + $129 = $269
a = $269 - $129
a = $140
Since a + b = $301
$140 + b = $301
b = $301 - $140
b = $161
Applicant = $140
The spouse = $161
The first child = $129
The second child = $108
Answer:
3+(k+1)1.5= 3
Step-by-step explanation: you do 1.5 * k and 1 and get 1.5k + 1.5
then you go 3 +1.5k+1.5=?
1.5k+4.5=?
-1.5k -1.5k
4.5=-1.5
_ . _
-1.5 . -1.5
k=3
Answer:
x=5,y=3
Step-by-step explanation:
the first step is to decide whether you want to substitute y and find x, or substitute x and find y.
(it doesn't matter which way you will choose.If you do the math correctly you will get the correct answer,one way or another).
for example, let's substitute y into the first equation:
x=17-4*(x-2)
so now,we will organize the equation:
x+4x=17+8
5x=25/(÷5)
x=5
now we will substitute x with 5 in the second equation(or the first one,it doesn't matter)in order to find y:
y=5-2
y=3
Answer:
Associative Property of Addition
