Answer:
30°
Step-by-step explanation:
If chord AB subtends two arcs with measures in the ratio of 1:5, then the measure of minor arc is x and the measure of major arc is 5x. Thus,
Thus, the measure of the angle AOB is 60°. Consider isosceles triangle AOB (because AO=BO=radius of the circle). The angles adjacent to the base AB are congruent, thus
Since line CD is tangent to the circle,
Hence,
Follow pemdas
2+(1/2) +34- (1/10)
2.5 + 34 - .1
36.5-.1
36.4
Answer:
The width of the rectangle is 2.5 feet
Step-by-step explanation:
Here, we want to calculate the width of the rectangle given its length
Let the area = perimeter = x
Mathematically;
area of rectangle = L * B = 10B
The perimeter of the rectangle = 2(L + B)
Also;
x = 10B
Let’s equate this to the perimeter
x = 10B = 2(L + B)
10B = 2(10 + B)
10B = 20 + 2B
10B -2B = 20
8B = 20
B = 20/8
B = 5/2
B = 2.5
Answer:
K = 3/2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
k−9=5(k−3)
k+−9=(5)(k)+(5)(−3)(Distribute)
k+−9=5k+−15
k−9=5k−15
Step 2: Subtract 5k from both sides.
k−9−5k=5k−15−5k
−4k−9=−15
Step 3: Add 9 to both sides.
−4k−9+9=−15+9
−4k=−6
Step 4: Divide both sides by -4.
-4k/-4 = -6/-4
K = 3/2
Answer:
The solution of the given equations are (3,2).
Step-by-step explanation:
Given equations are :
3d−e=7 ...(1)
d+e=5 ...(2)
Add equations (1) and (2) we get :
3d-e+d+e=7+5
4d = 12
d = 3
Put the value of d in equation (2).
3+e=5
e = 2
So, the value of d = 3 and e = 2. Solution of the given equations are (3,2).
