Answer:
Measure of ∠P = 60°
Step-by-step explanation:
Consider triangle PMO.
Since PM is perpendicular to MO , hence m∠PMO = 90°
Also given that m∠MOP = m∠2 = 30°
And since sum of three angles of a triangle is 180°
⇒ m∠PMO + m∠MOP + m∠MPO = 180°
⇒m∠MPO = 180° - (m∠PMO + m∠MOP) = 180° - ( 90 + 30 ) = 60°
Hence m∠MPO that is m∠P is 60°
Answer:
3
Step-by-step explanation:
When you go from x=1 to x=3 you go up twice on the x-value. The y value also increases by 6 which means all you have to do is find the average.
6/2= 3
3 is the average increase between x=1 and x=3
Hope this helps!
Answer:
If ƒ(x ) = 3x + 1, then ƒ(a + h ) - ƒ(a ) = 3h
Step-by-step explanation:
Given ƒ(x ) = 3x + 1, then to calculate ƒ(a + h ) - ƒ(a ), you need to replace "x" for (a + h) and a, respectively.
So...
f(a +h) = 3(a + h) + 1
and
f(a) = 3a + 1
Then
ƒ(a + h ) - ƒ(a ) = 3 (a + h) + 1 - [3a +1] = 3a + 3h + 1 - 3a - 1 = 3h.
So, ƒ(a + h ) - ƒ(a ) = 3h
Next time, use this symbol for exponents: ^
2^4 + 3^2 = 16 + 9 = 25
Answer:
y=5x-11
Step-by-step explanation:
parallel lines have the same slope 5
y-4=5(x-3)
y-4=5x-15
y=5x-15+4
y=5x-11
