By using the fact of supplement angles of congruent angles are congruent, we proved that ∠2 ≅ ∠3
Step-by-step explanation:
The supplementary angles are:
- Two angles their sum is 180°
- The supplement of an acute angle is an obtuse angle and vice versa
- The supplement of a right angle is a right angle
- If one angle is supplement to two other angles, then the two angles are equal in measure (if 50° is supplement to angles X and Y, then X and y must be 130°)
- Supplement angles of congruent angles are congruent (If angles X and Y are supplement to angles A , B and angles A , B are congruent, then angles X and Y are congruent
∵ ∠1 and ∠2 are supplementary
∴ m∠1 + m∠2 = 180° ⇒ (1)
∵ ∠3 and ∠4 are supplementary
∴ m∠3 + m∠4 = 180° ⇒ (2)
We can equate the left hand sides of (1) and (2) because the right hand sides are equal
∴ m∠1 + m∠2 = m∠3 + m∠4 ⇒ (3)
∵ ∠1 ≅ ∠4
∴ m∠1 = m∠4
- Substitute m∠4 by m∠1 in (3)
∴ m∠1 + m∠2 = m∠3 + m∠1
- Subtract m∠1 from both sides
∴ m∠2 = m∠3
∴ ∠2 ≅ ∠3
By using the fact of supplement angles of congruent angles are congruent, we proved that ∠2 ≅ ∠3
Learn more:
You can learn more about supplementary angles in brainly.com/question/10483199
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Answer:
The correct answer is:
Matthew's rate is higher by $50 per month.
Step-by-step explanation:
We know that Christopher's rate is $550 per month.
To find Matthew's rate, we will treat the data we have as ordered pairs:
(3, 1800)
(6, 3600)
(9, 5400)
We find the slope of the line between these points. The formula for slope is:
Using the first two points, we have:
To verify Matthew saves the same amount each month, we will find the slope between the second two points and make sure they're the same:
Matthew's rate is $600 per month.
This is higher than Christopher's by 600-550=$50 per month.
I’m pretty sure it’s plant
Answer:
Area of triangle = 15 square units
Step-by-step explanation:
We need to find area of the triangle, given the vertices:
A=(4,0)
B=(1,5)
C=(7,5)
The formula used is: 
We have: 
Putting values and finding area
We will be ignoring negative sign, because area of triangle is positive.
So, Area of triangle = 15
5 (3m+2p) -4m= 15m +10p -4m
=11m +10p
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13p+11m-3p=10p -11m
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Yes, 5 (3m+2p) -4m is equivalent to the expression 13p+11m-3p as i worked out for you.. Hope this helps you!!! =')
