Is PQR-XYZ? If so, name which similarity postulate or theorem applies.
1 answer:
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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.
Step-by-step explanation:
Given that the mean of the numbers is 12
so here
let's that one as x and another one as 2x since it is given that one is twice the other
Therefore we get
Given mean = 12
Hence it's 11 and 22
Answer: His total rental cost will be $164.75.
Step-by-step explanation:
Since we have given that
Cost of per day = $30
Cost of per mile after the first 100 miles = $0.65
According to question, he was travelling 215 miles in 3 days.
So, it becomes,
Hence, his total rental cost will be $164.75.