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Valentin [98]
3 years ago
12

The triangle below are similar. What is the scale factor of triangle ABC to triangle DEF?

Mathematics
2 answers:
Tatiana [17]3 years ago
5 0
B. 1/3

9 is 1/3 of 27 since 9x3=27
7 is 1/3 of 21 since 7x4=21
9 is 1/3 of 27 since 9x3 =27
lilavasa [31]3 years ago
4 0
The answer would be 3 because if you divide each number in the larger triangle you will get the numbers in the smaller one
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Solve for x using logs- <br><br> 2*7^x=17*3^x
horsena [70]

2\cdot7^x=17\cdot3^x\ \ \ \ |\log\\\\\log(2\cdot7^x)=\log(17\cdot3^x)\ \ \ \ |use\ \log (x\cdot y)=\log x+\log y\\\\\log2+\log7^x=\log17+\log3^x\ \ \ \ |-\log2;\ |-\log3^x\\\\\log7^x-\log3^x=\log17-\log2\ \ \ \ |use\ \loga^n=n\log a\\\\x\log7-x\log3=\log17-\log2\\\\x(\log7-\log3)=\log17-\log2\ \ \ |use\ \log x-\log y=\log\dfrac{x}{y}\\\\x\log\dfrac{7}{3}=\log\dfrac{17}{2}\ \ \ \ |:\log\dfrac{7}{3}\\\\\boxed{x=\dfrac{\log\frac{17}{2}}{\log\frac{7}{3}}}

8 0
3 years ago
Which one of the properties described below DOES NOT apply to the perpendicular bisector of a segment?
Lana71 [14]

Answer:

It must be longer than the original segment.

Step-by-step explanation:

Let analyse all the 4 answers:

  • a. It divides the original segment into two equal pieces.

Yes because It finds the midpoint of the given line segment.

  • b. Every point on the perpendicular bisector is the same distance from both end points of the segment.

Yes, because perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the segment's both endpoints.

  • c. It must be longer than the original segment

Wrong, it can be shorter or equal to the  original segment.

  • d. It is perpendicular to (makes a 90 angle with) the original segment

True, because of it is one of the the properties of a perpendicular bisector of a segment

So we choose C.

Hope it will find you well.

7 0
3 years ago
Olivia has 109 pennies. Liza has 2,457 dimes. Chris has 8,078 quarters. How much money in total do they have altogether
slamgirl [31]
109*0.01+2457*0.1+8078*0.25=<span>2266.29 dollars</span>
4 0
4 years ago
2) A salesperson earns commission on the sales that she makes each month.
mixer [17]
Part A
Commission total = Commission 1+ Commission 2
Where
Commision 1 = 5% of first 45000
Commission 2 = 7.5% of the amount left after $5000 is subtracted
thus 
Commision 1 = $5000x.05
                      = $250

Commission 2= $3000 x.075
                        = $225
Commission total = $250+$225
                              = $475
The total commission she earned is $475ion

Part B.
Total sales = Sales with 5% commission+Sales with 7.5% commission
Sales with 5%commission= $5000
Commision At 7.5% = Total commision -Commission with 5%
                           =    $1375-$250
              Sales x.075=  $1125
              Sales with 7.5% commision = $15000
Total sales = $5000+$15000
Total sales = $20000
Total sales for commission of $1375 is $20000

3 0
3 years ago
Which word is an antonym of strenuous?<br> here are the options<br><br> Easy<br><br> Weak
Pepsi [2]

Answer:

the answer is easy

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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