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2 years ago

Examine Carmen's plans for rail lines at a train station.

Mathematics

1 answer:

velikii [3]2 years ago

3 0

The measure of angle 2 is 73.

<h3>What is angle?</h3>

An angle is a combination of two rays (half-lines) with a common endpoint.

Given:

As, angle 1 and 2 are supplementary

<1 + <2 + (6x +5) =180

And, by corresponding angle, <1= 48

So, 48 + <2 + (6x +5)= 180

<2 + (6x +5) = 132

Also x= 9

then, <2 = 132 - 59

<2= 73.

Hence, measure of <2 is 9.

Learn more about this concept here:

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What is the greatest product you can make by multiplying two 2-digit numbers? Explain.

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If a = 12 and 120% of a is equal to 80\% of bthen what is a + b ?

Novosadov [1.4K]

Answer:

The answer is 30

Step-by-step explanation:

First you have to find 120% of a (12).

$\frac{12}{1} \times \frac{120}{100} = 14.4$

Therefore; 14.4 is 80% of b, and we are trying to find 100% of b

$14.4 = 80\% \\ x = 100\%$

we do not know what is 100% therefore we call it *x*. In order to find this unknown value *x* we cross multiply.

$14.4 \times 100\% = 80\% \times x$

This is the same as saying;

$14.4 \times 1 = x \times \frac{4}{5}$

100% percent would be 1 because it is the whole number we are trying to find. The 80% would be 4/5. To get 4/5 you can simply break down 80/100 ( this is 80% as a fraction).

so the new equation is: 14.4= 4/5x

We divide both sides by 4/5. Then we will get x tobe equal to 18. Therefore b is 18. We were asked to find (a + b) so. 18+12 = 30

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For her parents' anniversary party, Ellie is considering using one of two venues. A hotel in

kompoz [17]

The hotel is $250 plus $25 per person so the equation would be

y= 25x + 250

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the restaurant is $100 plus $40 per person so the equation would be

y = 40x + 100

What we want to know is which x value would make the y values equal to each other. So you can just replace the "y" in one equation with the other equation:

25x + 250 = 40x + 100

and then solve...

1. subtract 100 from both sides

25x + 150 = 40x

2. subtract 25x from both sides

150 = 15 x

3. divide both sides by 15

10 = x

you can check by plugging 10 into the original equations

25(10) + 250

250 + 250 = 500

and

40(10) + 100

400 + 100 = 500

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