Solve first equation for y:
5x+y=10
y=10-5x. Plug this equation into second equation
-x-(10-5x)=-2
-x-10+5x=-2
4x=8
x=2 (plug x into first equation)
5(2)+y=10
y=0
Answer:
m∠M = 79°
m∠N = 66°
Step-by-step explanation:
∠MPN is supplementary to ∠MPQ, so m∠MPN = 35
The sum of the measures of a triangle is 180.
So, m∠M + m∠N + m∠MPN = 180
5y + 4 + 4y + 6 + 35 = 180
9y + 45 = 180
9y = 135
y = 15
m∠M = 5y + 4 = 5(15) + 4 = 75 + 4 = 79
m∠N = 4y + 6 = 4(15) + 6 = 66
Another way to do this problem, which is easier, is to know that an exterior angle of a triangle is equal to the sum of the two remote interior angles.
That means 5y + 4 + 4y + 6 = 145
9y + 10 = 145
9y = 135
y = 15
From knowing the value of y you can now find the measures of angles M and N
Answer:
184
Step-by-step explanation:
What you can do is just divide 904/360 and the remeinder is the answer so for this 1080 is too big so 720 and it is 904-720=184
2 3/2 is not equal to any of these
Remark
Whatever the original price, he gets 70% in the first instance.
He gets 80% in the second instance.
He gets 90% in the third instance
His total income is 240 dollars.
Let the original price be x
Equation
70%x + 80%x +90%x = 240
70% = 0.7 ; 80% = 0.8 ;90% = 0.9
Solution
0.7x + 0.8x + 0.9x = 240 Take out x as a common factor and add the decimals.
x (0.7 + 0.8 + 0.9) = 240
2.4x = 240 Divide both sides by 2.4
x = 240/2.4
x = 100
So the watches should have brought in 3*100 = 300 dollars.
He only brought in 240 dollars.
He lost 300 - 240 = 60 dollars.
The answer is B.
