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3 years ago

Circle A is inscribed in triangle RST. True False

Mathematics

2 answers:

Nataliya [291]3 years ago

5 0

Answer:

It is true Circle A is inscribed in triangle RST.

Step-by-step explanation:

Definition of inscribed

It is defined as drawing one shape inside another shape so that it just touches.

As given the figure in the given be as folllow .

Clearly in the figure the circle toches the triangle at the X , P and Q points .

Thus Circle A is inscribed in triangle RST.

Therefore it is true Circle A is inscribed in triangle RST.

Kazeer [188]3 years ago

3 0

Circle touches all tree sides of the triangle, so the circle is inscribed.
True.

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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

3 years ago

Please answer the six questions in the picture please

lisov135 [29]

Y=mx+b
m=slope
b=y itnercept
remember the points go in (x,y) form
also, an easy way to find points is to subsitute values for x andn get values for y

so
6. y=5x-1
some points are (0,-1) (1,4) (2,9) (314)

7. y=-x+8
some points are (0,8) (1,7) (2,6) (3,5)

8. y=0.2x+.3
somepoints are (0,0.3) (1,0.5) (2,0.7) (3,0.9)

9. y=1.5x-3
somepoints are (0,-3) (1,-1.5) (2,0) (3,1.5)

10. y=-1/2x+4
somepoints are (0,4) (1,7/2) (2,3) (3,5/2)

11. y=2/3x-5
some points are (0,-5) (1,-13/3) (2,-11/3) (3,-3)

6 0

3 years ago

Read 2 more answers

For every 3 green marbles James has, he has 2 yellow marbles. What is the ratio of green to yellow marbles? If James has 12 gree

Sever21 [200]

Is is a 3 to 2 ratio

6 0

3 years ago

Suppose the mean SAT verbal score is 525 with a standard deviation of 100, while the mean SAT math score is 575 with a standard

Ipatiy [6.2K]

Answer:

The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.

Step-by-step explanation:

Normal variables

Normal variables have mean $\mu$ and standard deviation $\sigma$

When we add normal variables, the combined mean is the sum of both means, and the standard deviation is the square root of the sum of both variances. The distribution is still normal.

In this question:

Verbal: $\mu_{V} = 525, \sigma_{V} = 100$ .

Math: $\mu_{M} = 575, \sigma_{M} = 100$

Combined:

$\mu = \mu_{V} + \mu_{M} = 525 + 575 = 1100$

$\sigma = \sqrt{\sigma_{V}^{2}+\sigma_{M}^{2}} = \sqrt{100^2 + 100^2} = 141$

The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.

6 0

3 years ago

Round 176,257 to the nearest hundred thousand

Luden [163]

The nearest hundred thousand would give you zeros after the comma in 176,257

If the number to the right of the comma in this case the "2" is 4 or less than you don't round the 6 up. If the "2" is 5 or greater than you round the 6 up by one number.

For example : 123,557 gives us 124,000

but 123,337 gives us 123,000

Therefore our answer is 176,000

6 0

3 years ago