Answer:
Step-by-step explanation:
We need to find the fractional amount of the total that is 2d and 4d size nails.
It is given 2d nails are 2/4th of the total. Also
It is given 4d nails are 1/4th of the total.
Hence 2d and 4d comprises of 2/4 + 1/4 = 3/4th of the total
so, 2d and 4d is 3/4th of the total
Answer:
See Below.
Step-by-step explanation:
We are given the isosceles triangle ΔABC. By the definition of isosceles triangles, this means that ∠ABC = ∠ACB.
Segments BO and CO bisects ∠ABC and ∠ACB.
And we want to prove that ΔBOC is an isosceles triangle.
Since BO and CO are the angle bisectors of ∠ABC and ∠ACB, respectively, it means that ∠ABO = ∠CBO and ∠ACO = ∠BCO.
And since ∠ABC = ∠ACB, this implies that:
∠ABO = ∠CBO =∠ACO = ∠BCO.
This is shown in the figure as each angle having only one tick mark, meaning that they are congruent.
So, we know that:
∠ABC is the sum of the angles ∠ABO and ∠CBO. Likewise, ∠ACB is the sum of the angles ∠ACO and ∠BCO. Hence:
Since ∠ABO =∠ACO, by substitution:
Subtracting ∠ABO from both sides produces:
So, we've proven that the two angles are congruent, thereby proving that ΔBOC is indeed an isosceles triangle.
Answer:
Step-by-step explanation:
From the question we are told that:
Diameter
Number of times jogged
Generally the equation for Distance traveled is mathematically given by
D=Circumference of Park * Number of times jogged
Where
Circumference of Park c is mathematically give as
Therefore