The outside angle of B needs to equal 180 - 79 = 101 degrees.
The 3 outside angles of a triangle need to equal 360 degrees.
Set up the equation with what we know:
X + (x+5) + 101 = 360
Simplify:
2x + 106 = 360
Subtract 106 from both sides:
2x = 254
Divide both sides by 2:
x = 254 / 2
x = 127
Answer:
Cost for skii: J(x) = 30x + 7
Cost for beach chair: B(x) = 5x + 3
=> Total cost = J(x) + B(x) = 30x + 7 + 5x + 3 = 35x + 10
=> Option C is correct.
Hope this helps!
:)
Answer:
i dont remember how to do this and i just did this last year
Step-by-step explanation:
The value of the variable x in the equation –x + 8 + 3x = x – 6 is - 14.
<h3>How to find variable in an equation?</h3>
The variables of an equation can be found as follows:
–x + 8 + 3x = x – 6
The variable in the equation is x.
Therefore,
–x + 8 + 3x = x – 6
combine like terms on the left side
-x + 3x + 8 = x - 6
2x + 8 = x - 6
subtract x form both sides of the equation
2x - x + 8 = - 6
x + 8 = -6
subtract 8 from both sides
x = -6 - 8
x = - 14
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Answer:
number of dimes 11 to 14
Step-by-step explanation:
given data
coin = 19
worth no less = $1.30
Nolan nickles = 5
solution
we convert 5 cent to dollars, it will be
5÷100 = $0.05
and
dime is worth 10 cents
so it will be 10 ÷ 100 = $0.1
so we consider here x as the number when nickels.
and we consider y as the number of dimes.
so here we can say
x + y ≤ 19 ..........................1
as here no less than $1.30 combined.
so
0.05 x + 0.1 y ≥ 1.3 ......................2
and
when Nolan has 5 nickels
put x = 5 in eq 1
5 + y ≤ 19
y ≤ 19 - 5
y ≤ 14
and
now we put x = 5 in eq 2
0.05 × 5 + 0.1y ≥ 1.3
0.25 + 0.1y ≥ 1.3
0.1y ≥ 1.3 - 0.25
0.1y ≥ 1.05
y ≥ 10.5
so all possible values for the number of dimes 11 to 14