Answer:
Option (B)
Step-by-step explanation:
From the picture attached,
NL and KM are the two lines intersecting at a point P.
Therefore, ∠KPN ≅ LPM [Vertical angles]
In ΔPLM,
m∠LPM + m∠PML + m∠PLM = 180° [Property of a triangle]
m∠LPM + 70° + 60° = 180°
m∠LPM + 130° = 180°
m∠LPM = 180° - 130°
m∠LPM = 50°
Therefore, m∠KPN = 50° [vertical angles]
Option (B) will be the correct option.
Answer:
Circumcenter theorem states that the vertices of the each triangle are equidistant from the circumcenter.
As per the statement:
It is given that: P is the circumference
From the given figure:
CP = 12 units.
then;
by circumcenter theorem;
AP= BP =CP = 12 units.
Next find the value of AB:
Labelled the diagram:
AD = 11 units
then;
AB = AD+DB
Since: AD=DB [You can see it from the given figure]
then;
AB = 2AD = 2(11) = 22 units
Therefore, the value of BP and AB are: 12 units and 22 units
Let the required number is 2x ,
According to the condition,
➡ 10 times the sum of half of 2x and 6 = 8

Therefore the value of x is -5.2
And, required number is -5.2
Answer:
The answer is 20 feet
Step-by-step explanation:
We know that her apartment sketch is 6 by 4 inches.
If the 6 inch side is actually 30 feet and 6 goes into 30 5 times, we should multiply 4 by 5 to get proportionate answers.
Therefore her apartment is 20*30 feet
Hope this helps