A-b=21
5a-2b=18
We can use substitution here. Take the first equation and solve for A. (Picking this one because it's easy)
a = 21+b
Plugin to the second equation:5(21+b)-2b=18
Simplify: 105 + 5b - 2b = 18
Simplify: 105 + 3b = 18
Subtract both sides: 3b = 18-105
Simplify: 3b = -87
Divide: b = -29
Plug back into the first: a=21+b
a = 21 - 29
a = -8
Option D
Answer:
Depending on the type of triangle you form, the interior angles will either decrease or increase.
Step-by-step explanation:
if you move the vertices to form an equilateral triangle then the interior angles will change to 60°, 60°, 60° because all interior angles of an equilateral triangle are the same and the sum of the interior angles of any triangle always add of to 180°
Answers: x = 4 and y = 3
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Explanation:
Triangle UBD is congruent to triangle RAN
Note the order of the lettering as it's important.
BD and AN are the last two letters of UBD and RAN in that order. Therefore, these sides correspond and BD = AN. From that, we know,
BD = AN
2y+5 = 3y+2
5-2 = 3y-2y
3 = 1y
y = 3
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Using similar logic, UD and RN are the first and last letters of UBD and RAN respectively. So,
UD = RN
15 = 2x+7
2x+7 = 15
2x = 15-7
2x = 8
x = 8/2
x = 4
So first start out by writing an expression for the cost of the child and the adult separately.
Child:
6 + 1r ($6 + $1 per ride)
Adult:
10 + 1.5r ($10 + $1.50 per ride)
to find how much more the adult will spend, just do Adult Expression - Child Expression which will be:
10 + 1.5r - (6 + 1r) just simplify this
For Part B, use your equation from part A where r = 7
