Step-by-step explanation:
the explanations are in the image
Answer:
Measure of ∠K=180-∠U
Or
Measure of ∠K=1/2m(arc DUC)
Step-by-step explanation:
Given:
DUCK quadrilateral inscribed in circle with center O
To Find:
Measure angle K
Solution:
Here the Quadrilateral in inscribed in a circle with center O named as DUCK
So angle K and U are opposite to each other
We know that the angle of Quadrilateral inscribed in a circle are supplemenatry angles
Hence
∠U+∠K=180
Or The ∠K=1/2*m∠arc(DUC).
Hence depending on the given value for arc measure or angle of quadrilateral we calculate the angle K
Answer:
25.3 lb
Step-by-step explanation:
We can multiply the whole by the percentage to find the part. Since 15.9% is equal to 0.159, the weight of fat is 159*0.159 = 25.281. Round this to the nearest tenth, and we get 25.3 pounds.
Answer:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Step-by-step explanation:
step 1
Find the length side c
Applying the Pythagoras Theorem

substitute the given values



step 2
Fin the measure of angle B
we know that
In the right triangle

substitute the given values


step 3
Find the measure of angle A
we know that
The measure of interior angles in a triangle must be equal to 180 degrees
so
∠A+∠B+∠C=180°
Remember that in a right triangle the measure of angle C is 90 degrees
we have


substitute

