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3 years ago

Which two triangles are congruent ? Complete the congruence statement . Please don’t be wrong I’ll

Mathematics

1 answer:

lukranit [14]3 years ago

6 0

Answer:

ΔHFG≅ΔSUT

Step-by-step explanation:

You just have to match up the sides and the angle.It's easier to color code them.

For example:

Segment SU would be congruent with HF. (both would be blue, just example color)

Angle U is congruent to angle F (red)

UT congruent to FG (green)

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If Logx (1 / 8) = - 3 / 2, then x is equal to<br> A. - 4<br> B. 4<br> C. 1 / 4

Fudgin [204]

Answer:

B. 4

Step-by-step explanation:

Given :

$log_x(\frac{1}{8})=-\frac{3}{2}$

The logarithm function can be converted to an exponential function as

$[\log_ab=c]$ can be expressed as $[a^c=b]$

Similarly for the given expression

$log_x(\frac{1}{8})=-\frac{3}{2}$

We can write,

$x^{-\frac{3}{2}}=\frac{1}{8}$

Using property of negative exponents $[a^{-b}=\frac{1}{a^b}]$

$\frac{1}{x^{\frac{3}{2}}}=\frac{1}{8}$

So we can write that as:

$x^{\frac{3}{2}}=8$

Writing the exponents in radical form as $a^{\frac{b}{c}}=(\sqrt[c]{a})^b$

$(\sqrt{x})^3=8$

Taking cube root both sides to remove the cube.

$\sqrt[3]{(\sqrt{x})^3}=\sqrt[3]{8}$

$\sqrt x=2$

Squaring both sides to remove square root.

$(\sqrt x)^2=2^2$

∴ $x=4$

8 0

4 years ago

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Hatshy [7]

Answer:

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3 years ago

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KATRIN_1 [288]

Answer:

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Step-by-step explanation:

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Answer:

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