3+3+4+3 im sure this is the answer just double chek
Answer:
Theresa's height is 60 inches
Step-by-step explanation:
The given parameters are;
The height of Paul = The height of Steve
Paul's height =
times Theresa's height - 16 inches
Steve's height =
times Theresa's height - 6 inches
Let 'T' represents Theresa's height, we have;
Paul's height =
×T - 16
Steve's height =
×T - 6
Paul's height = Steve's height
Therefore;
×T - 16 =
×T - 6
×T -
×T = 10
×T -
×T = 10
×T = 10
T = 10 × 6 = 60
Theresa's height, T = 60 inches
The tax is 6.5% OF the listed price. "OF" in math means multiply.
First convert the percentage to a decimal
6.5% = .065
Then multiply .065*813.95 = 52.90675. This is the tax.
Simply add the tax onto the cost
813.95 + 52.90675 = $866.86 (rounded)
Answer:
Step-by-step explanation:
4x − y = −11
2x + 3y = 5
lets multiply the second equation by -2 and add it to the first:
4x − y = −11
-4x - 6y = -10
------------------
0 - 7y = -21
y = -21/-7
y = 3
now we substitute this result in the first equation to find x:
4x − y = −11
4x - 3 = -11
4x = -8
x = -8/4
x = 2
so the solution is y = 3 and x =2
4x − 9y = −21
−10y = −30
we solve for y
−10y = −30
y = -30/-10
y = 3
and substitute in the first equation:
4x − 9y = −21
4x − 9(3) = −21
4x - 27 = -21
4x = 6
x = 6/4 = 3/2
so the solution is x = 3/2 and y = 3
4x + 3y = 5
2y = −6
we solve for y:
2y = −6
y = -6/2
y = -3
we do substitute in the first equation:
4x + 3y = 5
4x + 3(-3) = 5
4x - 9 = 5
4x = 14
x = 14/4
x = 7/2
so the solution is x = 7/2 and y = -3
7x − 3y = −11
9x = −6
we solve for x:
9x = −6
x = -6/9
x = -2/3
then we substitute in the first equation the result found:
7x − 3y = −11
7(-2/3) − 3y = −11
-14/3 - 3y = -11
we multiply by 3 to eliminate fractions:
-14 - 9y = -33
9y = 19
y = 19/9
so the solution is x = -2/3 and y = 19/9
12x − 3y = −33
14x = −28
we solve for x:
14x = −28
x = -28/14
x = -2
then we substitute in the first equation:
12x − 3y = −33
12(-2) − 3y = −33
-24 - 3y = -33
3y = 9
y = 3
then the solution is x = -2 and y = 3
Sum of linear pair of angles = 180°
so
<EFG + <GFH = 180°
2n + 21 + 4n + 15 = 180°
6n + 36 = 180°
6n = 144
n = 24
<EFG = 2(24) + 21 = 69°
<GFH = 4n + 15 = 4(24) + 15 = 111°