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salantis [7]
3 years ago
11

Hey, another math question

Mathematics
1 answer:
Lena [83]3 years ago
3 0

Answer:

Step-by-step explanation:

By adjacent interior angles theorem,

If a transversal line 'r' intersects two parallel lines 'm' and 'n' then the consecutive interior angles are supplementary.

a° + (3x - 18)° = 180°

a° = 180° - (3x - 18)°

By vertical angles theorem,

If two straight lines intersect each other at a point, opposite angles formed are equal in measure.

180° - (3x - 18)° = (5x - 10)°

(5x - 10) + (3x - 18) = 180

(5x + 3x) - (10 + 18) = 180

8x - 28 = 180

8x = 180 + 28

8x = 208

x = 26

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8 0
3 years ago
What is the value of y in the equation 5x + 2y = 20, when x = 0.3?
Nikolay [14]
Y=9.25 because inorder to solve this we need to first take 5*.3 which equals 1.5 now that we have this we can move on we now have the equation 1.5 + 2y = 20 so now we need to continue working on getting y by it self so we subtract 1.5 from each side and then that leaves us with 2y=18.5 now we divide by 2 which leaves us with y=9.25 enjoy=)
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3 years ago
How many thousands are in 3.293
just olya [345]

??? what do u mean

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8 0
3 years ago
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Traveling math word problem - thank you! :)
Anni [7]

<u>We are given:</u>

car and train leave at the same time

average velocity of car = 50 miles/hour

average velocity of train = 70 miles/hour

train arrives 2 hours early

<u>Assuming variables and making equations!</u>

let the time taken by the train = t hours

since the car arrived late, it took more time as compared to the train

time taken by the car = t + 2 hours

since the distance from Pasadena to Sacramento doesn't change, both the vehicles covered the same distance, d

<u>Distance travelled by the car:</u>

d = 50 \frac{miles}{hour} * (t+2) hours                             [distance = velocity * time]

d = 50(t+2) miles

rewriting in terms of t

t = \frac{d-100}{50}

<u>Distance travelled by the train:</u>

d = 70 \frac{miles}{hour} * t hours

d = 70t miles

rewriting in terms of t

t = \frac{d}{70}

now we have two expressions for t, both of which are equal because t is just the time taken by the train

<u>Finding the distance:</u>

<u></u>t = \frac{d-100}{50}<u></u>

<u></u>t = \frac{d}{70}<u></u>

because t is the same:

\frac{d-100}{50} = \frac{d}{70}

\frac{d-100}{5} = \frac{d}{7}

7(d - 100) = 5(d)

7d - 700 = 5d

(7d - 5d) - 700 = 0                                        [subtracting 5d from both sides]

2d = 700                                                       [adding 700 on both sides]

d = 350 miles                                               [dividing both sides by 2]      

The distance between Pasadena and Sacramento is 350 miles!

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2 years ago
If the vertex is the highest point on the graph what is it called
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Answer:

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