Answer:
5x - y = 10x + 3y = 4
5x - y = 4..... 1
10x + 3y = 4.....2
multiply by -2 in eq 1 in both sides
-10x + 2y = -8
10x +3y = 4
eliminate one variable by adding the equations
5y = -4
y = - 4/5
sub the value of y in..1
5x - y = 4
5x + 4/5 = 4
5x = 16/5
divide by 5 on both sides
x = 16/25
(x ; y)
(16/25 ; -4/5)
Answer:
5/7
Step-by-step explanation:
y2-y1/x2 -x1
3 - (-2)/9-2
3+2/9-2
5/7
<span>miles per gallon uses ratios. Say your car was doing 80 miles for 4 hours. You would have the ratio 80;4 and you need to find the miles per 1 hour</span>
Answer:
∠EFH = 21°
∠HFG = 62°
∠EFG = 83°
Step-by-step explanation:
The diagram showing the angles has been attached to this response.
From the diagram, it can be deduced that;
Angle EFG = angle EFH + angle HFG
=> ∠EFG = ∠EFH + ∠HFG -------------------(i)
From the question:
∠EFH = (5x + 1)° -------------(ii)
∠HFG = 62° -------------(iii)
∠EFG = (18x + 11)° -------------(iv)
<em>Substitute these values into equation (i) as follows;</em>
(18x + 11) = (5x + 1) + 62
=> 18x + 11 = 5x + 1 + 62
<em>Collect like terms and solve for x</em>
18x - 5x = 1 + 62 - 11
13x = 52
x = 4
Now, to get each measurement, substitute x = 4 into each of equations (ii) - (iv)
∠EFH = (5x + 1)°
∠EFH = (5(4) + 1)°
∠EFH = (20 + 1)°
∠EFH = 21°
∠HFG = 62° [<em>Does not depend on x</em>]
∠EFG = (18x + 11)°
∠EFG = (18(4) + 11)°
∠EFG = (72 + 11)°
∠EFG = 83°
<u>Conclusion:</u>
∠EFH = 21°
∠HFG = 62°
∠EFG = 83°