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Natali5045456 [20]
3 years ago
9

Which shows the expanded form of the number 54.98?

Mathematics
1 answer:
mamaluj [8]3 years ago
5 0
A. It’s easy answer correct.
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What additional information do you need to prove triangle ABC ~ triangle JKL
irga5000 [103]

Answer:

no additional information will help because the triangles are not similar

Step-by-step explanation:

Similar triangles have 3 pairs of congruent, corresponding angles.

Let's look at triangle ABC. Two angle measures are given: 51 deg and 63 deg.

180 - 51 - 63 - 66

The measure of the thrid angle is 66 deg.

One anlgle measure of triangle JKL is given. It is 66 deg.

Since <J is not congruent to any angle of triangler ABC, the triangles are not similar.

Answer: no additional information will help because the triangles are not similar

4 0
3 years ago
The value of 3(2f+3) when f= 5
PtichkaEL [24]

Answer:

39

Step-by-step explanation:

2x5=10

10+3=13

13x3=39

4 0
3 years ago
Read 2 more answers
Remember to show work and explain. Use the math font.
vichka [17]

Answer:

\large\boxed{1.\ f^{-1}(x)=\sqrt[12]{3^x}}\\\\\boxed{2.\ f^{-1}(x)=\sqrt[4]{3^x}}\\\\\ \boxed{3.\ f^{-1}(x)=\sqrt[3]{4^{7-x}}}

Step-by-step explanation:

(a^n)^m=a^{nm}\\\\\log_ab=c\iff a^c=b\\\\a^{\log_ax}=x\\\\n\log_ab=\log_ab^n\\\\\log_ab+\log_ac=\log_a(bc)\\============================\\\\1.\\y=3\log_3x^4\to y=\log_3(x^4)^3\to y=\log_3x^{12}

2.\\y=\log_3x^4\\\\\text{Exchange x and y. Solve for y:}\\\\\log_3y^4=x\Rightarrow3^{\log_3y^4}=3^x\Rightarrow y^{4}=3^x\\\\y=\sqrt[4]{3^x}\\-------------------------

3.\\y=-\log_4x^3+7\\\\\text{Exchange x and y. Solve for y:}\\\\-\log_4y^3+7=x\qquad\text{subtract 7 from both sides}\\\\-\log_4 y^3=x-7\qquad\text{change the signs}\\\\\log_4y^3=7-x\Rightarrow4^{\log_4y^3}=4^{7-x}\\\\y^3=4^{7-x}\Rightarrow y=\sqrt[3]{4^{7-x}}

7 0
3 years ago
Trash-A-way charges $25 per month with an additional $0.25 per pound of trash that they pick up from your house. Garbage -No-Mor
goldenfox [79]

25 + 0.25x=45

0.25x=20

x= 20/0.25 = 80

 so 80 pounds of trash

3 0
3 years ago
Simplify completely quantity 2 x squared plus 13 x plus 20 all over x squared minus 5 x minus 36 .
adoni [48]

Answer:

  • (2x + 5)/(x - 9)
  • 3. quantity 2 x plus 5 over x minus 9

Step-by-step explanation:

Quantity 2 x squared plus 13 x plus 20 all over x squared minus 5 x minus 36

  • (2x² + 13x + 20)/(x² -5x - 36) =
  • (2x²+ 5x + 8x + 20)/(x² - 9x + 4x -36)=
  • (2x + 5)(x + 4)/(x - 9)(x + 4) =
  • (2x + 5)/(x - 9)

Correct option is option 3

3 0
4 years ago
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