Answer:
30 and 60
Step-by-step explanation:
1. "The measure of angle is twice the measure of its complement" means that one angle is twice the amount of another angle, and when both of them are added together, they equal 90°.
2. 60 is twice the amount of 30, and when both of them are combined, they equal 90°.
Therefore, the answer is 30 and 60.
Variables- x,y
terms- 4
coefficient-3x, 6y, 10x
constant- 5, 9
like terms- 3x , 10x
Answer:
(7,3)
Step-by-step explanation:
difference is 4.5x and -.5y
so apply to (2.5,3.5) and you get (7,3)
Answer:
MQ=14
Step-by-step explanation:
The two triangles are similar
So the equation is
12/72=x/12
1/6=x/12
x=2
Answer:
(x, y) = (77/240, -3/10)
Step-by-step explanation:
It is convenient to write the equations in standard form.
Multiplying the first equation by 21 gives ...
21y = 24x -14
Multiplying the second equation by 8 gives ...
24x +9y = 5
Then the system of equations in standard form is ...
Subtracting the first from the second, we get ...
(24x +9y) -(24x -21y) = (5) -(14)
30y = -9
y = -9/30 = -3/10
Substituting this into the second equation, we have ...
24x +9(-3/10) = 5
24x = 7.7 . . . . . . . add 27/10
x = 7.7/24 = 77/240
The solution is (x, y) = (77/240, -3/10).