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3 years ago

Which similarity postulate can be used to justify that triangle FGH is similar to triangle RGB?

Mathematics

2 answers:

Afina-wow [57]3 years ago

8 0

Both are right angel triangle.

NeTakaya3 years ago

3 0

Answer:

The answer is the SAS postulate

Step-by-step explanation:

This is due to the fact that it goes from FGH and RGB both meeting at point G which makes up the angle of the SAS

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Help ASAP show work please thanksss!!!!

Llana [10]

Answer:

$\displaystyle log_\frac{1}{2}(64)=-6$

Step-by-step explanation:

<u>Properties of Logarithms</u>

We'll recall below the basic properties of logarithms:

$log_b(1) = 0$

Logarithm of the base:

$log_b(b) = 1$

Product rule:

$log_b(xy) = log_b(x) + log_b(y)$

Division rule:

$\displaystyle log_b(\frac{x}{y}) = log_b(x) - log_b(y)$

Power rule:

$log_b(x^n) = n\cdot log_b(x)$

Change of base:

$\displaystyle log_b(x) = \frac{ log_a(x)}{log_a(b)}$

Simplifying logarithms often requires the application of one or more of the above properties.

Simplify

$\displaystyle log_\frac{1}{2}(64)$

Factoring $64=2^6$ .

$\displaystyle log_\frac{1}{2}(64)=\displaystyle log_\frac{1}{2}(2^6)$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}(2)$

Since

$\displaystyle 2=(1/2)^{-1}$

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}((1/2)^{-1})$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=-6\cdot log_\frac{1}{2}(\frac{1}{2})$

Applying the logarithm of the base:

$\mathbf{\displaystyle log_\frac{1}{2}(64)=-6}$

5 0

2 years ago

What is the slope of the line?

xeze [42]

Answer:

1/3

Step-by-step explanation:

Slope is rise over run.

Pick a point and count how many steps up and how many steps to the right you need to make to get to the next point. That's how you find slope.

3 0

2 years ago

When solving negative one over five -1/5 (x − 25) = 7, what is the correct sequence of operations

aleksandr82 [10.1K]

The solution would be like this for this specific problem:

$\left( { - 5} \right)
\cdot \left( { - \frac{1}{5}} \right) \cdot \left( {x - 25} \right) = 7 \cdot
\left( { - 5} \right)$

$\left( { - 5} \right)
\cdot \left( { - \frac{1}{5}} \right) = 1$

The correct sequence of operations when solving negative one over five (x − 25) = 7 would be multiply each side by −5, and adding 25 to each side.

5 0

3 years ago

172% of 50 is what number?

Likurg_2 [28]

Answer:

172% of 50 means 172÷100 multiplied by 50 will give you 86

6 0

2 years ago

Read 2 more answers

7x - 2 = 2y

ser-zykov [4K]

$\left\{\begin{array}{ccc}7x-2=2y\\3x=2y-1\end{array}\right\\\\substitution:\\\\3x=7x-2-1\\3x-7x=-3\\-4x=-3\ \ \ /:(-4)\\x=\frac{3}{4}\\\\2y=7\cdot\frac{3}{4}-2=\frac{21}{4}-2=\frac{21}{4}-\frac{8}{4}=\frac{13}{4}\\2y=\frac{13}{4}\ \ \ \ /:2\\y=\frac{13}{8}\\\\Answer:x=\frac{3}{4};\ y=\frac{13}{8}.$

6 0

3 years ago