Answer:
Step-by-step explanation:
we know that
The triangle ΔMNK, is an isosceles triangle, because has two equal sides, then has two equal angles
∠M =∠K
MN = MK
Remember that the sum of the interior angles of a triangle must be equal to 180 degrees
so
∠M + ∠N + ∠K = 180°
∠M=∠K
2∠M = 180° - 110°
∠M = 70°/2 = 35°
∠K= ∠M = 35°
see the attached figure to better understand the problem
Applying the law of sines determine the length side MN
Solve for MN
substitute the values
Answer:
Step-by-step explanation:
To solve this problem, isolate it on one side of the equation.
<h3>x-3y=1 and 3x-5y=11</h3>x-3y=1: x=1+3y
x=1+3y
<u>Substitute.</u>
x=1+3y= 3(1+3y)-5y=11
<u>Solve.</u>
3+4y=11
<u>Subtract by 3 from both sides.</u>
3+4y-3=11-3
Solve.
11-3=8
<u>Rewrite the problem down.</u>
4y=8
<u>Divide by 4 from both sides.</u>
4y/4=8/4
Solve.
8/4=2
<u>y=2</u>
x=1+3y
x=1+3*2
Solve.
<u>PEMDAS stands for:</u>
1+3*2
Multiply.
3*2=6
Add.
1+6=7
<u>x=7</u>
I hope this helps you! Let me know if my answer is wrong or not.
Answer:
First get the formula for your pattern in the form of TN. Where d represents your difference and a represents your first term. Then equate the -401 to your formula and solve for n
