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xz_007 [3.2K]
3 years ago
11

If two right triangles each have a 30° angle, then the triangles must be

Mathematics
1 answer:
Bad White [126]3 years ago
5 0

Answer:

Both are right triangles. That means they both have a 90∘ angle. They also both have a 30∘ angle.

It follows that both triangles have a 60∘ angle:

180∘−90∘−30∘=60∘.

So they have three angles in common.

The triangles are CONGRUENT as per the AAA rule of congruency.

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3 years ago
Solve for x.
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Okay so the first thing you want to do is distribute the -3, meaning you’re going to multiple both of the values in the parenthesis by -3. then you’ll combine like terms, meaning -2x and -3x which will equal -5x. then you want to get any values with x by itself, so you’ll add 15 to each side to move it over. Then you need to get x by itself, so you divide each side by negative 5. This leaves your answer as -1

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3 years ago
Find the equation of the linear function represented by the table below in slope-
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1y157

Step-by-step explanation:

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3 years ago
- Match each sentence with the appropriate equation.
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Step-by-step explanation:

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3 0
4 years ago
Which expression is equivalent to RootIndex 3 StartRoot StartFraction 75 a Superscript 7 Baseline b Superscript 4 Baseline Over
slega [8]

Answer:

B. \frac{b}{2a^{2}c^3}\sqrt[3]{15b}

Step-by-step explanation:

Given:

The expression to simplify is given as:

\sqrt[3]{\frac{75a^7b^4}{40a^{13}c^9}}

Use the exponent property \frac{a^m}{a^n}=a^{m-n}

\frac{a^7}{a^{13}}=a^{7-13}=a^{-6}

Use the exponent property (a^m)^n=a^{m\times n}

a^{-6}=a^{-2\times 3}=(a^{-2})^3

b^4=b\times b^3\\c^{9}=(c^3)^3

Reducing \frac{75}{40} to simplest form, we get:

\frac{5\times 5\times 3}{2^3\times 5}=\frac{15}{2^3}

Therefore, expression becomes:

\sqrt[3]{\frac{15(a^{-2})^3\times b\times b^3}{2^3(c^3)^3}}

Use the cubic root property:

\sqrt[3]{x^3} =x. Thus, the expression becomes:

\frac{a^{-2}b}{2c^3}\sqrt[3]{15b}

Using the exponent property a^{-m}=\frac{1}{a^m}

a^{-2}=\frac{1}{a^2}

So, the final expression is:

\frac{b}{2a^{2}c^3}\sqrt[3]{15b}

Therefore, the correct option is option B.

7 0
4 years ago
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