Answer:
MP ⊥ LO ⇒ proved
Step-by-step explanation:
In the given figure
∵ m∠LPM = m∠MNO ⇒ given
∵ m∠MNO = m∠MPO ⇒ given
→ If the measure of an angle equals the measures of another two
angles, then the two angles must be equal in measures
∴ m∠LPM = m∠MPO ⇒ proved
∵ P ∈ line LO
∵ ∠ LPM and ∠MPO are adjacent angles
∴ ∠LPM and ∠MPO formed a pair of linear angles
→ The measure of the linear pair angles is 180°
∴ m∠LPM + m∠MPO = 180°
∵ m∠LPM = m∠MPO
→ That means the measure of each one is 180° divided by 2
∴ m∠LPM = m∠MPO = 180° ÷ 2
∴ m∠LPM = m∠MPO = 90°
∵ MP intersect LO at P and formed right angles at P
→ That means MP is perpendicular to LO
∴ MP ⊥ LO ⇒ proved
a complementary angle is equal to 90°
so this would be 94.2° divided by all of the angles there, you have your answer
i really hope this helps!
Factorise the 5
5m + 5n = 5(m+n)
Answer:
Probability is 1
Step-by-step explanation:
We are given;
mean;μ = $2,075
Standard deviation;σ = $300
n = 55
x' = $1,985
Now, we want to find x' to be at least $1,985 which is P(x' > $1,985).
The z-value is calculated from;
z = (x' - μ)/(√σ/n)
Plugging in the relevant values;
z = (1985 - 2075)/(√300/55)
z = -38.536
So, P(x' > $1,985) = P(z > -38.536)
This transforms to;
P(z < 38.536)
Probability from z distribution table is 1
