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4 years ago

Which statement is true of triangles QRS and MNP?

2 answers:

7 0

They are similar because their corresponding angles are congruent and their corresponding side lengths are proportional.

timama [110]4 years ago

3 0

Answer:

They are similar because their corresponding angles are congruent and their corresponding side lengths are proportional.

Step-by-step explanation:

we know that

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

Corresponding angles are congruent

because

∠Q≅∠M

∠R≅∠N

∠S≅∠P

Corresponding sides are proportional

because

$\frac{QR}{MN}=\frac{RS}{NP}=\frac{QS}{MP}$

substitute the given values

$\frac{6}{3}=\frac{2}{1}=\frac{6.32}{3.16}$

$2=2=2$ ----> is true

therefore

They are similar because their corresponding angles are congruent and their corresponding side lengths are proportional.

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Simplify the rational expression. State any restrictions on the variable.

ExtremeBDS [4]

we are given

$\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}$

Firstly, we will factor numerators and denominators

$\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}=\frac{(n^2-6)(n^2-4)}{(n^2-3)(n^2-6)}$

we can see that

n^2 -6 is factor on both numerator and denominator

so, it will get cancelled

and n^2 -6 can not be equal to 0

so, one of restriction is

$n^2-6\neq 0$

$n\neq -+ \sqrt{6}$

we can simplify it

$\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}=\frac{(n^2-4)}{(n^2-3)}$

we know that denominator can not be zero

$n^2-3\neq 0$

$n\neq -+ \sqrt{3}$

so, option-B.......Answer

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3 years ago

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tiny-mole [99]

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3 years ago

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Which value for k makes the equation 42 ÷ k = 14 true? Select all that apply. A. 588 B. 62 C. 1452 D. 3 E. 23

Alexus [3.1K]

Answer:

Step-by-step explanation:

What divided by 42 equals 14? In other words, you have an unknown number (X), and then if you divide that X by 42 you get 14. Then what is that X? The equation to calculate what divided by 42 equals 14 is as follows: X/42 = 14 Where X is the answer. When we solve the equation by multiplying each side by 42, you get get:

X = 588

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3 years ago

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Yuki888 [10]

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4 years ago

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