Answer:
a) #4 vertical angles are congruent
b) # 1 ∠3 ≅ ∠7
c) # 6 Transitive property
Step-by-step explanation:
a. Vertical angles - opposite angles that are equal.
b. corresponding angles - in the same place but on different parallel lines
and are equal.
c. a = b, b = c so a = c
<h3>
Answer: 375</h3>
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Work Shown:
a = 300 = first term
r = 60/300 = 0.2 = common ratio
We multiply each term by 0.2, aka 1/5, to get the next term.
Since -1 < r < 1 is true, we can use the infinite geometric sum formula below
S = a/(1-r)
S = 300/(1-0.2)
S = 300/0.8
S = 375
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As a sort of "check", we can add up partial sums like so
- 300+60 = 360
- 300+60+12 = 360+12 = 372
- 300+60+12+2.4 = 372+2.4 = 374.4
- 300+60+12+2.4+0.48 = 374.4+0.48 = 374.88
and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.
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Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.
The value of the expression for the given values of a and b is -1
<h3>Evaluating an expression</h3>
From the question, we are to evaluate the given expression for the given values of a, b, and c
The given expression is
a + b
The given values are
a = 4,
b = -5,
and
c = -8
To evaluate the given expression for the given values of a and b, we will put the values of a and b into the expression,
That is,
a + b becomes
4 + -5
= 4 -5
= -1
Hence, the value of the expression for the given values of a and b is -1
Learn more on Evaluating an expression here: brainly.com/question/17425636
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Answer:
Stocks have historically delivered higher returns than bonds because there is a greater risk that, if the company fails, all of the stockholders' investment will be lost.
Step-by-step explanation:
Hope this will help
