Answer:
80
Step-by-step explanation:
The three angles of a triangle add to 180 degrees. One angle is 10, the second is a right angle( which is 90 degrees). Let the third angle be x
10 +90 +x = 180
Combine like terms
100 +x =180
Subtract 100 from each side
100-100 +x= 180-100
x = 80
That would be
5/4
.
Explanation:
This answer is valid because, when you multiply
4
×
1
, you get
4
. Then add one and keep the denominator, you will get
5
4
.
1
1
4
=
1
×
4
+
1
4
=
5
4
When you simplify
5
4
, you will get
1
1
4
Have a great day!
Answer:
Step-by-step explanation:
The answer is:
s= -1 and t = - 1
Answer:
B (5, 13)
Step-by-step explanation:
9x + 4y = 97
9x + 6y = 123
To solve by elimination, we want to <em>eliminate</em> a variable. To do this, we must make one variable cancel out.
First, we can see that both equations have 9x. To cancel out x, we must make <em>one</em> of the 9x's <em>negative</em>. To do this, multiply <em>each term</em> in the equation by -1.
-1(9x + 6y = 123)
-9x - 6y = -123
This is one of your equations. Set it up with your other given equation.
9x + 4y = 97
-9x - 6y = -123
Imagine this is one equation. Since every term is negative, you will be subtracting each term.
9x + 4y = 97
-9x - 6y = -123
___________
0x -2y = -26
-2y = -26
To isolate y further, divide both sides by -2.
y = 13
Now, to find x, plug y back into one of the original equations.
9x + 4(13) = 97
Multiply.
9x + 52 = 97
Subtract.
9x = 45
Divide.
x = 5
Check your answer by plugging both variables into the equation you have not used yet.
-9(5) - 6(13) = -123
-45 - 78 = -123
-123 = -123
Your answer is correct!
(5, 13)
Hope this helps!
