Answer:
161/40
Step-by-step explanation:
you have to give us the statements in order to answer your question.
Answer:
Step-by-step explanation:
1) The first step is to find the common difference of the table so that we know the amount you need to pay per person without counting the vehicle cost.
2) We can find this by doing (20-14)/(4-2)=3. Just to check, we can do (32-20)/(8-4)=3.
3) Using the hint, we know that the vehicle cost is $8, but if you want to find it, you should do 14-2X(the value per person)=14-2X3=8.
4) So, if there are 30 people on the bus, in order to find the value you need to pay, you must do 30X3+8=98.
5) So the answer is 98.
Answer:
Therefore,
Step-by-step explanation:
Given:
KM = 8
r = 5
To Find:
m∠KLM = ?
Solution:
Chord length formula is given by
where r is the radius of the circle and
'θ' is the angle from the center of the circle to the two points of the chord.
Let m∠KOM = θ be the center angle , Chord length = KM =8
So on Substituting the values we get
m∠KOM = θ = 106.3
Now by Inscribed angle theorem we have
The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
Therefore
Substituting the values we get
Therefore,
Answer:
m∠JKP = 31.5°
Step-by-step explanation:
Incenter of a triangle is the point where all the bisectors of interior angles intersect each other.
JN is the angle bisector of ∠KJL.
Therefore, m∠KJN = m∠LJN
(7x - 6) = (5x + 4)
7x - 5x = 6 + 4
2x = 10
x = 5
m∠KJN = (7x - 6)
= 7(5) - 6
= 35 - 6
= 29°
In ΔKJN,
m∠JKN + m∠KNJ + m∠NJK = 180°
m∠JKN + 90° + 29° = 180°
m∠JKN = 180°- 119° = 61°
Since KO is the angle bisector of ∠JKN,
m∠JKP =
=
= 30.5°