The value of a and b from the coordinates are 3 and 5 respectively
<h3>Midpoint of coordinates</h3>
The formula for finding the midpoint of two coordinates is expressed as;
M(x, y) = {x1+x2/2, y1+y1/2}
Given the following coordinates
M(a, 4)
A(1,3)
B(5,b)
Using the formula
a = 1+5/2
a = 6/2
a = 3
Similarly
4 = 3+b/2
8 = 3+b
b = 8-3
b = 5
Hence the value of a and b from the coordinates are 3 and 5 respectively
Learn more on midpoint here: brainly.com/question/18315903
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<LMP and <NMP are supplementary angles so sum = 180
<LMP + <NMP = 180
(-16x + 13) + ( - 20x + 23) = 180
-16x + 13 - 20x + 23 = 180
-36x + 36 = 180
-36x = 144
x = -4
<LMP = -16x + 13 = -16(-4) + 13 = 77
<NMP = - 20x + 23 = - 20(-4) + 23 = 103
Answer
<LMP = 77°
<NMP = 103°
Answer:
S₁₅ = 645
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
= 
[ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Using the nth term formula 
= 5n + 3 , then
a₁ = 5(1) + 3 = 5 + 3 = 8
a₂ = 5(2) + 3 = 10 + 3 = 13 , then
d = a₂ - a₁ = 13 - 8 = 5
Thus
S₁₅ = 
[ (2 × 8) + (14 × 5) ]
= 7.5( 16 + 70)
= 7.5 × 86
= 645
Answer:
Step-by-step explanation:
The slope of line 2=
=0
Answer:
58
Step-by-step explanation:
The two angles are equal
