Answer:
CE congruent ED
Step-by-step explanation:
A perpendicular bisector is a line segment which perpendicularly intersects another line, thereby dividing it into two equal parts. In fact, the Perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the segment’s endpoints.
- The perpendicular bisector, AB, bisects CD at a point E, that is, the length CE is equal to ED. And the angle formed between the two lines is 90 degrees.
Therefore, the additional pertinent information that allows for the conclusion that AB is a perpendicular bisector of CD is that "CE congruent ED".
Answer:
x = -4
m<LMP = 77°
m<NMP = 103°
Step-by-step explanation:
Straight angles by definition have a total measure of 180°.
This means that m<LMP and m<NMP are 180° together.
Therefore m<LMP + m<NMP = 180°.
[substitution property]
(-16x + 13)° + (-20x + 23)° = 180°
[associative property of addition]
(-36x + 36)° = 180°
-36x + 36 = 180
–36 –36
-36x = 144
÷-36 ÷-36
x = -4
_________________
Since m<LMP = (-16x + 13)°.
Using substitution with x = -4:
m<LMP = (-16(-4) + 13)° = (64 + 13)° = 77°.
Since m<NMP = (-20x + 23)°.
Using substitution with x = -4:
m<NMP = (-20(-4) + 23)° = (80 + 23)° = 103°.
This is true because 77° + 103° = 180°.
Pretty sure its 13x+1
if you're looking for x, minus the one so it's 13x=-1 and divide. hope it was helpful
Answer:
3rd graph
Step-by-step explanation:
3m ≥ 21 whenever you see '≤ or ≥' then you know the circle must be filled
divide each side by 3 to isolate 'm':
m ≥ 7 This inequality, when graphed, should have a closed circle on the number 7 and the shading would be to the right because the symbol is indicates all values "greater than" 7