Answer:
x = 8, y = 27
Step-by-step explanation:
Since both opposite lines are equal in length to each other, these opposite lines are parallel to each other. The top line is parallel and same length as the bottom line and the left and right lines are also parallel and equal in length.
Based on that, the two left side angles must equal 180 and the right side two angles must equal 180.
(2y + 24) + (3y + 21) = 180
That's the same as 2y + 24 + 3y + 21 = 180
Simplify to 5y + 45 = 180
Subtract 45 from both sides
5y = 135
y = 27
(16x - 26) + (9x + 6) = 180
16x - 26 + 9x + 6 = 180
25x - 20 = 180
25x = 200
x = 8
Answer:
Statements:
m<b = 180 - m<a
m<c = 180 - m<d
m<b = m<c
180 - m<a = 180 - m<d
Reasons:
The measure of m<b is the angle of a straight line subtracted with m<a. The measure of m<c is the angle of a straight line subtracted with m<d. If m<a and m<d are equal, m<b and m<c are equal.
Step-by-step explanation:
We know, m<a = m<d
So, we need to prove m< b = m<c
Let's start by defining what b and c is
m<b + m<a = 180 This is because a straight line is 180 degrees
m<b = 180 - m<a
m<c + m<d = 180
m<c = 180 - m<d
With this, we can substitute in proof
m<b = m< c
180 - m<a = 180 - m<d
180 - m<a = 180 - m<a
Your welcome for the answer. Tell me if you have any questions in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it!
Answer:
The Answer is C
Step-by-step explanation:
Because 2D is a Whole Number and 18B is too big. Can I please have Brainlest
Answer:
Assume that Sk is valid for n=k and prove that Sn is valid for n= k+ 1
Step-by-step explanation:
This is Principle of Mathematical Induction ---PMI
Step 1: Verify that Sn is valid for n =1
Step 2:Assume that Sk is valid for n=k and prove that Sn is valid for n= k+ 1
