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3 years ago

In the diagram, m_1 = (4x + 10)° and mZ2 = (x + 20°. The value of x' is:

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

8 0

Answer:

x=30

(Option 2)

Step-by-step explanation:

Well if the <1+<2=180 then you can put the equation as 4x+10+x+20=180. We can simplify that to be 5x+30=180. Minus 30 from both sides: 5x=150; x=30

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Find the product -7(-a2)(-b3)

vlada-n [284]

$-7(-a^2)(-b^3)=\boxed{-7a^2b^3}$

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2 years ago

Mario has drawn a plan of his bedroom on 1 cm square paper. His en-suite shower cubicle measure. 1m x1m, give the scale of his d

Romashka [77]

<span>Mario has drawn a plan of his bedroom on 1 cm square paper. His en-suite shower cubicle measure. 1m x1m, give the scale of his drawing
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3 years ago

Read 2 more answers

Which statement is true?

love history [14]

<h2>Hello!</h2>

The answer is:

The second option,

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

Discarding each given option in order to find the correct one, we have:

<h2>First option,</h2>

$\sqrt[m]{x}\sqrt[m]{y}=\sqrt[2m]{xy}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$\sqrt[m]{x}\sqrt[m]{y}=\sqrt[m]{xy}$

<h2>Second option,</h2>

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

The statement is true, we can prove it by using the following properties of exponents:

$(a^{b})^{c}=a^{bc}$

$\sqrt[n]{x^{m} }=x^{\frac{m}{n} }$

We are given the expression:

$(\sqrt[m]{x^{a} } )^{b}$

So, applying the properties, we have:

$(\sqrt[m]{x^{a} } )^{b}=(x^{\frac{a}{m}})^{b}=x^{\frac{ab}{m}}\\\\x^{\frac{ab}{m}}=\sqrt[m]{x^{ab} }$

Hence,

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

<h2>Third option,</h2>

$a\sqrt[n]{x}+b\sqrt[n]{x}=ab\sqrt[n]{x}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$a\sqrt[n]{x}+b\sqrt[n]{x}=(a+b)\sqrt[n]{x}$

<h2>Fourth option,</h2>

$\frac{\sqrt[m]{x} }{\sqrt[m]{y}}=m\sqrt{xy}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$\frac{\sqrt[m]{x} }{\sqrt[m]{y}}=\sqrt[m]{\frac{x}{y} }$

Hence, the answer is, the statement that is true is the second statement:

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

Have a nice day!

6 0

2 years ago

Help or don’t if so thank you

NikAS [45]

Answer: 12.60 per CD

Step-by-step explanation:

Tax 0.80 * 3 = 2.40

40.20 - 2.40 = 37.80

37.8 / 3 = 12.60

5 0

3 years ago

Find the percent increase from 200 to 240

vlabodo [156]

Answer:

20%

Step-by-step explanation:

The percentage change can be found from ...

% change = ((new value)/(reference value) -1) × 100%

= (240/200 -1) × 100%

= 0.20 × 100%

= 20%

240 is an increase of 20% from 200.

3 0

3 years ago