Answer:
(1) C
(2) C
(3) 4
(4) False
Step-by-step explanation:
(1) If DF = FB, then point F is called the midpoint and segments DF and FB are congruent.
(2) If ray FA bisects angle EFB, then angles EFA and AFB are congruent. If measure of angle EFA = 47 degrees, the measure of angle EFB = 47 degrees.
(3) If DF = x+2, FB = 2x+1 and DB = 15, then
DF + FB = DB
x+2+2x+1=15
3x+3=15
3x=15-3
3x=12
x=4
(4) If x=4, then
DF=4+2=6
FB=2·4+1=9
Since DF is not congruent to FB, F is not a midpoint. False
Answer:
2045
Step-by-step explanation:
All you had to do was add.
I hope this helped you.
Answer:
DB = 6
Step-by-step explanation:
See the attached figure to the question.
Since O is the center of the given circle, so AB and CD are diameters of the circle.
Hence, AO = CO = OD = OB = radius of the circle = 6
In Δ OAC, we have AO = OC. Hence, ∠ A = ∠C = 60° {Given that ∠OAC = 60°}
So, ∠ AOC will automatically become 60°. {As the sum of all the angles of a triangle is 180°}
So, Δ AOC is equilateral triangle.
Now, ∠ AOC = ∠ BOD = 60° {Since, they are vertically opposite angles}
Now, in Δ BOD, we have DO = OB. Hence, ∠ D = ∠ B = 60° {As the sum of all the angles of a triangle is 180°}
So, Δ BOD is also an equilateral triangle.
So, DB = BO = DO = 6. (Answer)
A)37 because is a prime number just sear up prime numbers on google
Given that:
Volume of cylinder, V= 87.92 cm³
Radius, r= 2 cm
π=3.14
Formula for volume of cylinder:
V=πr²h
Put values in the formula.
87.92=(3.14)(2)²h
87.92=(3.14)(4)h
87.92=12.56h
Divide both sides by 12.56
7=h
or
h=7 cm
Answer: Height of Cylinder is 7 cm.
