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iren [92.7K]
3 years ago
14

Which postulate or theorem can be used to

Mathematics
1 answer:
sveticcg [70]3 years ago
4 0

Answer:

AA Similarity Postulate

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

step 1

Verify the proportion of the corresponding sides

\frac{PS}{PQ}=\frac{PT}{PR}

substitute

\frac{45}{20}=\frac{36}{16}

2.25=2.25 ----> is true

Corresponding sides are proportional

Triangle PQR is similar to Triangle PST

That means

Corresponding angles must be congruent

side QR is parallel side ST

and

m\angle PQR=m\angle PST ----> by corresponding angles

m\angle PRQ=m\angle PTS --> by corresponding angles

so

PQR is similar to PST by AA Similarity Postulate

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In 2003 there were 1078 JC Penney stores and in 2007 there were 1067 stores.
Tamiku [17]

Answer:

a) f(s)=\frac{-11}{3}s+\frac{3245}{3} f(1)=1078 stores b) 2012, 1049 stores. 2014, 1041 stores. c) Yes it is a downsizing company.

Step-by-step explanation:

a)

s=year | f(s) = number of stores per year

1 | 1078

4| 1067

m=\frac{1067-1078}{4-1}\Rightarrow m=\frac{-11}{3}\\1078=-\frac{11}{3}*1+b\Rightarrow b=\frac{3245}{3}\\f(s)=\frac{-11}{3}s+\frac{3245}{3}

s=1 in 2003

s=1 year =2003\\ Testing\\f(1)=\frac{-11}{3}(1)+\frac{3245}{3}=\frac{3234}{3}=1078\\ f(1)=1078

b) For 2012, s=9. For 2014, s=11

\\f(s)=\frac{-11}{3}s+\frac{3245}{3}\\ \\f(9)=\frac{-11}{3}(9)+\frac{3245}{3}\cong1049\\\\f(11)=\frac{-11}{3}(11)+\frac{3245}{3}\cong=1041

c) In deed. Since the function shows a decreasing amount of JC Penney stores. Maybe this is a downsizing from this company, progressively closing some stores.

4 0
3 years ago
Most of us are struggling with school rn and have finals coming up as well. its very stressful but try not to stress as much. ik
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Tasha invests in an account that pays 1.5% compound interest annually. She uses the expression P(1+r) to find the total value of
allsm [11]
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5 0
2 years ago
C/8 = 7/2 What does c equal? please help me I don't understand these problems that well.
bonufazy [111]

Answer:

c  =  28

Step-by-step explanation:

Solve for  c  by simplifying both sides of the equation, then isolating the variable.

5 0
2 years ago
Find the linearization L(x) of the function at a. <br> f(x) = x3/4, a = 81
Zolol [24]

Please note that your x^3/4 is ambiguous.  Did you mean (x^3)  divided by 4
or did you mean x to the power (3/4)?  I will assume you meant the first, not the second.  Please use the "^" symbol to denote exponentiation.

If we have a function f(x) and its derivative f'(x), and a particular x value (c) at which to begin, then the linearization of the function f(x) is

f(x) approx. equal to  [f '(c)]x + f(c)].

Here a = c = 81.

Thus, the linearization of the given function at a = c = 81 is

f(x) (approx. equal to)  3(81^2)/4 + [81^3]/4

Note that f '(c) is the slope of the line and is equal to (3/4)(81^2), and f(c) is the function value at x=c, or (81^3)/4.

What is the linearization of f(x) = (x^3)/4, if c = a = 81?

It will be f(x) (approx. equal to) 
6 0
3 years ago
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