<h2>
Answer:</h2>
LP = 8 because LR + PR = LP according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution
<h2>
Step-by-step explanation:</h2>
From this problem, we know that:
LR = 12
PR = 4
So here we have a Line segment. Recall that a line segment has two endpoints, places where they end or stop and they are named after their endpoints, so the line segment here is LR whose measure is 12. Then, according to Segment Addition Postulate it is true that:
LP + PR = LR
By substituting LR = 12 and PR = 4, we have:
LP + 4 = 12
Subtracting 4 from both sides:
LP + 4 - 4 = 12 - 4
LP + 0 = 8
Finally:
LP = 8
X=5, if that’s what you’re solving for

Maria got 21 correct.
Number wrong = Total - Number right
y = 25 - 21
y = 4
Maria got 4 wrong.
Hope this helps!
Answer:
..........
Step-by-step explanation:
Answer:
m∠DEC = 78°
Step-by-step explanation:
Given information: AC = AD, AB⊥BD, m∠DAC = 44° and CE bisects ∠ACD.
If two sides of a triangles are congruent then the opposite angles of congruent sides are congruent.
AC = AD (Given)


According to the angle sum property, the sum of interior angles of a triangle is 180°.




Divide both sides by 2.

CE bisects ∠ACD.



Use angle sum property in triangle CDE,




Subtract 102 from both sides.


Therefore, the measure of angle DEC is 78°.