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3 years ago

Transversal m intersects lines a, b, and c such that m∠1=42° and m∠2=140° and m∠3=138°. Which lines are parallel?

Mathematics

1 answer:

zepelin [54]3 years ago

5 0

Answer:

Lines a and c.

Step-by-step explanation:

m∠1=42° and m∠3=138°. 42 + 138 = 180, so the two angles form a 180° angle. That means that lines a and c are parallel.

Hope this helps!

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The original price of a pair of shoes is $29.95. The shoes are on sale for 30% off. Which expression would calculate the sale pr

Vikki [24]

$29.95 is 100% of the original price.
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(70%/100%)*$29.95-price after sale
</span>
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3 years ago

What is the value of AAA when we rewrite 2^{x-6}+2^{x}2 x−6 +2 x 2, start superscript, x, minus, 6, end superscript, plus, 2, st

Nuetrik [128]

Answer:

$A=\frac{65}{64}\ or\ A=1.015625$

Step-by-step explanation:

Given:

The expression is given as:

$2^{x-6}+2^{x}$

The equivalent expression to the above expression is given as:

$A\cdot 2^{x}$

Now, simplifying the original expression using the law of indices:

$a^{m-n}=\frac{a^m}{a^n}$

So, $2^{x-6}=\frac{2^x}{2^6}$ . The expression becomes:

$=\frac{2^x}{2^6}+2^x$

Now, $2^x$ is a common factor to both the terms, so we factor it out. This gives,

$=2^x(\dfrac{1}{2^6}+1)\\\\=2^x(\frac{1}{64}+1)\\\\=2^x(\frac{1}{64}+\frac{64}{64})\\\\=2^x(\frac{1+64}{64})\\\\=2^x(\frac{65}{64})\\\\=(\frac{65}{64})\cdot 2^x$

Now, on comparing the simplified form with the equivalent expression, we conclude:

$A\cdot2^x=(\frac{65}{64})\cdot 2^x\\\\A=\frac{65}{64}\ or\ 1.015625$

Therefore, the value of 'A' is $A=\frac{65}{64}\ or\ A=1.015625$

7 0

3 years ago

Read 2 more answers

A coin is tossed 600times with the frequencies as:

brilliants [131]

Answer:

see below

Step-by-step explanation:

Total number of trials =600.

Number of heads = 342.

Number of tails = 258

On tossing a coin,

$let \: E_1 \: and \: E_2 \: be \: the \: events \: of \: getting \: a \: head$

and of getting a tail respectively.

then,

$1) \: P \: (getting \: a \: head) = \: P \: (E_1)$

$\longrightarrow \: \frac{number \: of \: heads \: coming \: up}{total \: number \: of \: trials}$

$\longrightarrow \: \frac{342}{600} = \frac{57}{100}$

$\longrightarrow \: 0.57$

$\red{ \rule{150pt}{3pt}} \:$

$2) P (getting \: a\: tail) =P (E_2)$

$\longrightarrow \: \frac{number \: of \: tails \: coming \: up}{total \: number \: of \: trials}$

$\longrightarrow \: \frac{258}{600} = \frac{43}{100}$

$\longrightarrow \: 0.43$

6 0

3 years ago

John a US citizen, is a product manager who moved to Argentina to work at the South American office of Ridmore Corporation, arn

otez555 [7]

Answer:

The correct answer is A. Being American but working in Argentina, John is an expatriate manager.

Step-by-step explanation:

An expatriate is a person who, temporarily or permanently, resides in a country different from the country in which he was born. The term is commonly used in the case where companies send their professionals or workers to their delegations abroad.

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3 years ago

There are 12 steps in the staircase. Plz don't do it for points!!! How do you get the answer 150? i am really struggling will ma

Svet_ta [14]

You can find “hypotenuse” using Pythagorean to get the length of one of those steps, 12.5, and you get 150 when you multiply that number by 12 for each of the 12 steps

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3 years ago