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3 years ago

If lmn~ xyz which congruentes are true by CPCTC?

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

3 0

Answer:

Step-by-step explanation:

CPCTC: Corresponding Parts of Congruent Triangles are Congruent

If ΔLMN ≅ ΔXYZ, then:

B. LN ≅ XZ

C. ∠Y ≅ ∠M

E. MN ≅ YZ

Corresponding sides:

LN → XZ

LM → XY

MN → YZ

Corresponding angles:

∠L → ∠X

∠N → ∠Z

∠M → ∠Y

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If one atom of carbon weighs 1.99 × 10^−22 g and one atom of hydrogen weighs 1.67 × 10^−27 g, which element weighs more? Explain

garik1379 [7]

Answer:

The atom of carbon weighs more

Step-by-step explanation:

we have

Atom of carbon weighs

$1.99*10^{-22}\ g=1.99*10^{-22}(\frac{10^{5}}{10^{5}})=199,000*10^{-22}(\frac{1}{10^{5}})=199,000*10^{-27}\ g$

Atom of hydrogen weighs

$1.67*10^{-27}\ g$

Compare

$199,000*10^{-27}\ g > 1.67*10^{-27}\ g$

therefore

The atom of carbon weighs more

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3 years ago

Write 111 as a decimal.

vagabundo [1.1K]

Answer:

So, 7 is the decimal equivalent of the binary number 111

Step-by-step explanation:

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3 years ago

A buoy floating in the sea is bobbing in simple harmonic motion with period 2 seconds and amplitude 8 in. Its displacement d fro

Mrac [35]

Answer:

The equation of the displacement $d$ as a function of time $t$ is :

$d(t)=8sin(\pi t+\pi )$

Step-by-step explanation:

Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple $sin$ or $cos$ terms.

Thus,

$d(t) = Asin(wt+c)$

is the general form of displacement of a SHM.

where,

$d(t)$ is the displacement with respect to the mean position at any time $t$
$A$ is amplitude
$w$ is the natural frequency of oscillation ( $rads^{-1}$ )
$c$ is the phase angle which indicates the initial position of the object in SHM ( $rad$ )

given,

Time period ( $T$ ) = $2s$
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The natural frequency ( $w$ ) and time period ( $T$ ) is :

$w=\frac{2\pi} {T}$

∴

$w$ = $\frac{2\pi }{2} = \pi$ $rads^{-1}$

∴

the equation :

⇒ $d(t)=8sin(\pi t+c)$ ------1

since $d=0$ when $t=o$ ,

⇒ $0=8sinc\\c=n\pi$ ------2

where n is an integer ;

⇒since the bouy immediately moves in the negative direction , $x$ must be negative or c must be an odd multiple of $\pi$ .

⇒ $d(t) = 8sin(\pi t+(2k+1)\pi )$ ------3

where k is also an integer ;

the least value of $k=0$ ;

thus ,

the equation is :

$d(t)=8sin(\pi t+\pi )$

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3 years ago

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Answer: ( D) 998 is the greatest three digit positive integer

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2 years ago

The data modeled by the box plots represent the battery life of two different brands of batteries that Mary tested. A) What is t

zhannawk [14.2K]

Answer:

Part A:

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Step-by-step explanation:

Part A:

Median value is depicted on a box plot by the vertical line that divides the rectangular box. Therefore:

Median value for Brand X = 13

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Brand Y has a higher median value (16) than Brand X (13).

This implies that brand Y has a battery life that last longer than brand X.

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2 years ago

Read 2 more answers