Step-by-step explanation:
From the figure it is clear that:
x+110°=180
x=180-110
x=70
For y:
the left exterior angle of line q is also70.
By the definition of alternate exterior angle:
y=70
<u>Note</u><u>:</u><u>i</u><u>f</u><u> </u><u>you</u><u> </u><u>n</u><u>e</u><u>e</u><u>d</u><u> </u><u>t</u><u>o</u><u> </u><u>a</u><u>s</u><u>k</u><u> </u><u>a</u><u>n</u><u>y</u><u> </u><u>question</u><u> </u><u>please</u><u> </u><u>let</u><u> </u><u>me</u><u> </u><u>know</u><u>.</u>
Answer:
x - Jack's age
y - Susan's age
Jack is 27 years older than Susan.
In 5 years he will be 4 times as old as she is.
Jack is 31 years old and Susan is 4 years old.
Start by putting two coins on each side of the scale. If one side is higher, then the light coin must be in that pair (use a second weighing to determine which of that pair is the lightest.)
If the initial weighing shows the two pairs to be even, discard those four and go to the three others. Put two of the coins on the scale - one on each side. If one side stays higher, that coin is your light one. If however they are equal, the final unweighed coin must be the lighter coin.
Answer:
(- 1, 1 )
Step-by-step explanation:
Given the 2 equations
2x - y = - 3 → (1)
x + y = 0 → (2)
Adding the 2 equations term by term will eliminate the term in y, that is
3x = - 3 ( divide both sides by 3 )
x = - 1
Substitute x = - 1 into either of the 2 equations and solve for y
Substituting into (2)
- 1 + y = 0 ( add 1 to both sides )
y = 1
Solution is (- 1, 1 )
Greetings!
Substitute:

Now we can input this into the other equation so, we only have one variable.
Solve for y.

Distribute the parenthesis.

Combine Like Terms.

Add
-50 to both sides.

Simplify.

Divide both sides by
0.01.

Simplify.

Input this value into the other equation.

Add
-700 to both sides.

Simplify.

The answer would be
300,700Hope this helps.
-Benjamin