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!
Use the expression for y in the second equation.
.. 3x +4(3 -(1/2)x) = 1
.. 3x +12 -2x = 1
.. x +12 = 1
.. x = -11
∠G would be congruent to ∠J
∠B would be congruent to ∠K
∠P would be congruent to ∠Y
Hope this helps :)
The total is $26 with the tip this is a 30% tip
Answer:
The three consecutive integers are 12, 13, 14.
Step-by-step explanation:
Encode the question in an equation. We are given two facts: (1) the three integers are consecutive, and (2) they relate to each other through a sum.
Pick any of the integers (first, second, or third) and call it n. Then write the two others correspondingly in terms of n. I pick the middle one as n, so the three consecutive integers are (n-1), n, (n+1). That's (1). As for (2), here is the fact:
Lo and behold, one equation with one unknown! Easy to solve for n to give us the middle integer, n:
The three consecutive integers are 12, 13, 14.
