Answer:
Solution given:
A(x1,y1)=(-4,-4)
M(x,y)=(-7,1)
N(x2,y2(x,y) let
we have
midpoint(x,y)={(x1+x2)/2,(y1+y2)/2}
(-7,1)={(-4+x)/2,(-4+y)/2} comparing corresponding value
-7=(-4+x)/2
-14=-4+x
x=-14+4
x=-10
and
1=(-4+y)/2
2=-4+y
y=4+2
y=6
<u>coordinates of N is (-10,6)</u>
Answer:
m∠1 = 68°
m∠2 = 68°
m∠3 = 112°
m∠4 = 112°
m∠5 = 68°
m∠6 = 68°
m∠7 = 112°
Step-by-step explanation:
<u>Vertical Angle Theorem</u>
When two straight lines intersect, the opposite vertical angles are congruent.
<u>Corresponding Angles Postulate</u>
When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.
<u>Angles on a Straight Line</u>
Angles on a straight line sum to 180°.
Applying the Vertical Angle Theorem and the Corresponding Angles Postulate:
⇒ m∠3 = m∠4 = m∠7 = 112°
To find the measure of angle 2, apply the Angles on a Straight Line theorem:
⇒ m∠2 = 180° - 112° = 68°
Applying the Vertical Angle Theorem and the Corresponding Angles Postulate:
⇒ m∠2 = m∠1 = m∠5 = m∠6 = 68°
Answer:
3?
Step-by-step explanation:
3n²+4m+5
3n²+(4m+5)
=3n²+9m
=3n²/9m;(3÷9)(n²÷m)
=1n²/3m
=n²/3m
Answer:
25
Step-by-step explanation: