The solution to the system of equation is (2, 7)
<h3>System of equation</h3>
Given the system of equation expressed as:
3x – y = -1 * 2
x – 2y = -12 * 1
________________
6x – 2y = -2
x – 2y = -12
Subtract to have;
6x-x = -2-(-12)
5x = 10
x = 2
Substitute x = 2 into 2 to have:
2 - 2y = -12
-2y = -14
y = 7
Hence the solution to the system of equation is (2, 7)
Learn more on system of equation here: brainly.com/question/25976025
#SPJ1
Answer:

Step-by-step explanation:
Corresponding angles of two parallel lines are always equal. The angle on "top" of
corresponds with the angle marked as
. Therefore, its measure must also be
.
Since these two angles form one side of a line which has 180 degrees, we have the following equation:

Combine like terms:

Subtract 15 from both sides:

Divide both sides by 3:

Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.
Let AD=x, Since given AB=3
AD+DB=3
x+DB = 3
DB = 3-x
Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem



Since given AD=BC,let us plugin BC=x in above step.


6x=11
x=
Now we know AD=x=
and given CD=√2.
Let us apply Pythagoras theorem for ΔACD



= 2.315cm
Answer:b
Step-by-step explanation: