Yes this is true if thats what u r asking
X + y = 6
x - 6y = -9
Subtract the equations, you get:
y - (-6y) = 6 - (-9)
7y = 15
y = 15/7
x + 15/7 = 6
x + 15/7 = 42/7
x = (42-15)/7
x = 27/15
None of your answer choices are correct, since the solution to the systems of equation is (27/15, 15/7)
Answers:
- x = 10
- angle CAT = 126 degrees
- angle MUD = 54 degrees
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Explanation:
∠CAT and ∠MUD are supplementary, which means the angle measures add to 180. They form a straight line.
( m∠CAT ) + ( m∠MUD ) = 180
( 11x+16 ) + ( 4x+14 ) = 180
11x+16 + 4x+14 = 180
(11x+4x) + (16+14) = 180
15x+30 = 180
15x = 180-30
15x = 150
x = 150/15
x = 10
Let's find each angle based on this x value
- m∠CAT=11x+16 = 11*10+16 = 110+16 = 126 degrees
- m∠MUD=4x+14 = 4*10+14 = 40+14 = 54 degrees
Those two angles add to 126+54 = 180 to confirm we do indeed have supplementary angles, and confirm the correct answers.
Step-by-step explanation:
4+7=11
11+(7+4)=22
22+(7+8)=37
Every step 7+4n you must add
Let the amount B pays be £x
So,
A pays £125
B pays £x
They pay in the ration 3:2
Therefore,
125/x = 3/2
Cross multiplying we get,
125 x 2 = 3x
3x = 250
x = £63.33
