3 years ago

The figures below are similar. The labeled sides are corresponding.

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

6 0

Answer:

is this for edmentum

Step-by-step explanation:

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Use the properties of logarithms to prove log, 1000 = log2 10.

Leto [7]

Given:

Consider the equation is:

$\log_81000=\log_210$

To prove:

$\log_81000=\log_210$ by using the properties of logarithms.

Solution:

We have,

$\log_81000=\log_210$

Taking left hand side (LHS), we get

$LHS=\log_81000$

$LHS=\dfrac{\log 1000}{\log 8}$ $\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]$

$LHS=\dfrac{\log (10)^3}{\log 2^3}$

$LHS=\dfrac{3\log 10}{3\log 2}$ $[\because \log x^n=n\log x]$

$LHS=\dfrac{\log 10}{\log 2}$

$LHS=\log_210$ $\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]$

$LHS=RHS$

Hence proved.

6 0

3 years ago

A rectangular plot of land has an area 9/10 square mile.The length is 3/2miles whats the width

Georgia [21]

A = L * W
(9/10) = (3/2) * W
Divide both sides (3/2)
(9/10) / (3/2) = W
(9/10) * (2/3) = W
18/30 = W
6/10 = W
W = 3/5 mile

6 0

3 years ago

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Alina has 15x + 12 yards of ribbon. She uses 6x - 3 yards for a project. How many yards does she have left?

Andrews [41]

Answer:

-1.66666666667 yards

Step-by-step explanation:

15x+12=6x-3

subtract 6x on both sides

9x+12=-3

subtract 12 on both sides

9x=-15

x=-1.6666666666667

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3 years ago

What is the solution to the inequality 14y−14≥14?

makkiz [27]

14y > 0 is the answer

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2 years ago

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Solve this system of linear equations. Separate

Katyanochek1 [597]

Answer:

good question

Step-by-step explanation:

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3 years ago