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3 years ago

Help me with this problem

Mathematics

2 answers:

elixir [45]3 years ago

6 0

Answer:

D. SSS

Step-by-step explanation:

Both sides are shown equal and it shares a side so that side is equal. Side Side Side.

Olin [163]3 years ago

6 0

Answer:

SSS

Step-by-step explanation:

Triangles are congruent by SSS postulate of congruence.

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Evaluate the expression when x = 6

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Answer:

4+2×6×6(x=6)

4+72

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3 years ago

What is msu? 49° 77° 98° 161°

givi [52]

Answer:

77°

Step-by-step explanation:

$\\ T = \frac{1}{2} (RU - SU)\\ \\ 21 =\frac{1}{2}(119 - SU)\\ \\ 42 = 119 - SU\\ SU=77$

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3 years ago

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If logb2=x and logb3=y, evaluate the following in terms of x and y:

Alja [10]

$log_b{162} = x + 4y\\\\log_b324 = 2x+4y\\\\log_b\frac{8}{9} = 3x-2y\\\\\frac{log_b27}{log_b16} = 3y-4x$

Solution:

Given that,

$log_b2 = x\\\\log_b3 = y --------(i)$

Use the following log rules

Rule 1: $log_b(ac) = log_ba + log_bc$

Rule 2: $log_b\frac{a}{c} = log_ba - log_bc$

Rule 3: $log_ba^c = clog_ba$

$a) log_b{162}$

Break 162 down to primes:

$162 = 2^1 \times 3^4$

$log_b{162} =log_b 2^1. 3^4\\\\By\ rule\ 1\\\\ log_b{162} = log_b 2^1 +log_b 3^4\\\\By\ rule\ 3\\\\1log_b2 + 4log_b3\\\\1x+4y\\\\x+4y$

Thus we get,

$log_b162 = x + 4y$

$b) log_b 324$

Break 324 down to primes:

$324 = 2^2 \times 3^4$

$log_b324 = log_b 2^2.3^4\\\\By\ rule\ 1\\\\log_b324 = log_b2^2 + log_b3^4\\\\By\ rule\ 3\\\\log_b324 = 2log_b2 + 4log_b3\\\\From\ (i)\\\\log_b324 = 2x + 4y$

$c) log_b\frac{8}{9}$

By rule 2

$log_b\frac{8}{9} = log_b8 - log_b9\\\\log_b\frac{8}{9} = log_b 2^3 - log_b3^2\\\\By\ rule\ 3\\\\log_b\frac{8}{9} = 3 log_b2 - 2log_b3\\\\From\ (i)\\\\log_b\frac{8}{9} = 3x - 2y$

$d) \frac{log_b27}{log_b16}$

By rule 2

$\frac{log_b27}{log_b16} = log_b27 - log_b16\\\\ \frac{log_b27}{log_b16} = log_b3^3 - log_b2^4\\\\By\ rule\ 2\\\\ \frac{log_b27}{log_b16} = 3log_b3 - 4log_b2 \\\\From\ (i)\\\\\frac{log_b27}{log_b16} = 3y - 4x$

Thus the given are evaluated in terms of x and y

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3 years ago

How do i answer a • a • a • r • r using exponents

Maru [420]

Answer:

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Step-by-step explanation:

a is multiplied three times so it goes to a^3

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3 years ago

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What is the value of the expression

Inga [223]

Answer:

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Step-by-step explanation:

You plug in the values of w and x so you get 3(1/4*8)+4. Multiply whats in the parthensis then distribute the 3 into 2 and get 6. So 6+4=10. Thats the answer for this expression. I hope this helps!

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3 years ago

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