Answer:
Step-by-step explanation:
Statements Reasons
1). SP ≅ TP 1). Given
2). PQ bisects ∠SPT 2). Given
3). ∠SPQ ≅ ∠TPQ 3). Definition of angles bisector
4). PQ ≅ PQ 4). Reflexive property of congruence
5). ΔSPQ ≅ ΔTPQ 5). SAS property of congruence
Definition: A histogram visualises the distribution of data over a continuous interval or certain time period. Each bar in a histogram represents the tabulated frequency at each interval.
According to the given histogram,
0-20 years occur 15 times,
21-40 years occur 40 times,
41-60 years occur 40 times,
61-80 years occur 15 times.
This shows that the data is symmetrical and the majority of the attendees were between the ages of 21 and 60 (40 times).
Answer: correct choice is B.
Answer:
(3.5, 4)
Step-by-step explanation:
add and then divide (x1+x2 / 2, y1 + y2 / 2) so [(1+6)/2, (3+5)/2], so (3.5, 4)
Answer:
a = 2/3
Step-by-step explanation:
A cube root is the same as a 1/3 power. The square of that gives a 2/3 power.
a = 2/3
_____
<em>Additional comment</em>
You can see the relationship between a root index and an exponent if you consider what the root means.
Consider a cube root, for example. When you cube the root, you get the original number:
(∛x)·(∛x)·(∛x) = x
Now, let's write the root as a power of x: x^a.
(x^a)·(x^a)·(x^a) = x . . . . . where x^a = ∛x
We know this product is ...
x^(a+a+a) = x^(3a) = x^1
This tells us that ...
3a = 1 ⇒ a = 1/3
That is, ∛x = x^(1/3).
Of course an n-th root is multiplied by itself n times to get the original number, so the corresponding exponent is x^(1/n).
i honestly don't know :-l
