Can someone help me with this. Thank you.
2 answers:
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A diagram of parallelogram MNOP is attached below
We have side MN || side OP and side MP || NO
Using the rule of angles in parallel lines, ∠M and ∠P are supplementary as well as ∠M and ∠N.
Since ∠M+∠P = 180° and ∠M+∠N=180°, we can conclude that ∠P and ∠N are of equal size.
∠N and ∠O are supplementary by the rules of angles in parallel lines
∠O and ∠P are supplementary by the rules of angles in parallel lines
∠N+∠O=180° and ∠O+∠P=180°
∠N and ∠P are of equal size
we deduce further that ∠M and ∠O are of equal size
Hence, the correct statement to complete the proof is
<span>∠M ≅ ∠O; ∠N ≅ ∠P
</span>
We have side MN || side OP and side MP || NO
Using the rule of angles in parallel lines, ∠M and ∠P are supplementary as well as ∠M and ∠N.
Since ∠M+∠P = 180° and ∠M+∠N=180°, we can conclude that ∠P and ∠N are of equal size.
∠N and ∠O are supplementary by the rules of angles in parallel lines
∠O and ∠P are supplementary by the rules of angles in parallel lines
∠N+∠O=180° and ∠O+∠P=180°
∠N and ∠P are of equal size
we deduce further that ∠M and ∠O are of equal size
Hence, the correct statement to complete the proof is
<span>∠M ≅ ∠O; ∠N ≅ ∠P
</span>
Good evening ,
Answer:
<h2>153 dimes.</h2>Step-by-step explanation:
1+2+3+...+17 = (17×18)/2 = (17×18)÷2 = 153 dimes.
it’s the sum of 17 terms of a geometric series.
:)
Answer:
(a) Neither
(a) Perpemdicular
Step-by-step explanation:
Required
Determine the relationship between given lines
(a)
and
An equation written in form: has the slope:
So, in both equations:
For both lines to be parallel
This is false in this case, because:
For both lines to be perpendicular
This is false in this case, because:
(b)
and
Write equations in form:
Divide by 5
Divide by 2
In both equations:
For both lines to be parallel
This is false in this case, because:
For both lines to be perpendicular
This is true in this case, because:
Cancel out 2 and 5