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nata0808 [166]
3 years ago
10

Am I correct? ( top question)

Mathematics
1 answer:
EastWind [94]3 years ago
6 0

Answer:

72

Step-by-step explanation:

<1 and <2 are not equal to each other

Let the angle  directly above angle 2 (on the right side of the line) be angle 3

<1 and <3 are corresponding angle, which means they are equal

<2 and <3 are supplementary angles since the form a line

<2 + <3 = 180

We know <1 = <3

<1 + <3 = 180

We are given <1 = 2x+12  and <2 = 3x+18

2x+12 + 3x+18 = 180

Combine like terms

5x+30 = 180

Subtract 30 from each side

5x+30-30 = 180-30

5x= 150

Divide each side by 5

5x/5 = 150/5

x=30

<1 = 2x+12

Substitute 30 in for x to find angle 1

   = 2*30 +12

   =60+12

  = 72

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A car travels 182 kilometers in 4 hours with the constant speed. how much time will it take traveling 42 kilometers
Schach [20]

Answer:

55.38 min

Step-by-step explanation:

A car travels,

182 km ⇒ 4 hours

And we have to find the time that it takes to travel 42 km .

Lets make a equation.

Let the unknown time be x

182 km ⇒ 4 hours

42 km ⇒ x

To make easy let's km in to meters and hours in to minutes

182000 m ⇒ 240 min

42000m ⇒ x

Now use cross multiplication.

182000x=240*42000\\

182000x=10080000

\frac{182000x}{182000} =\frac{1008000}{182000}

x =55.38min

Hope this helps you.

Let me know if you have any other questions :-)

6 0
2 years ago
Which type of transformation is shown?
Mariana [72]

Answer:

Translation

Step-by-step explanation:

The object is only moved, which is what happens when a translation occurs

7 0
3 years ago
Read 2 more answers
Determine how long it will take an object to rotate through 6.9 revolutions at an angular velocity of 3.1 radians per second. Us
gregori [183]

Answer: 13 . 99 seconds

Step-by-step explanation:

The formula to find how long it will take an object to rotate through 6.9 revolutions at an angular velocity is given as :

t = 2π x number of revolutions / angular velocity

Therefore :

t = 2π x 6.9 / 3.1

t = 2 x 3.142 x 6.9 / 3.1

t = 43.3596/3.1

t = 13. 98696774194

to the nearest tenth

t = 13. 99s

7 0
3 years ago
Help..... me .......please..........ITS URGENT
Vikentia [17]

Answer: 115, 2645

(x= 115, y= 2645)

Step-by-step explanation:

There are two methods to this, which is using the graph with each x and y value, or substituting in values.

I would suggest looking at the graph first and then substituting values so you know the equation is being satisfied by the ordered pair.

In this case, one way to check it could look like this (substituting y value):

y = 23x

2645 = 23x

x = 2645÷23

x = 115

6 0
2 years ago
Miguel bikes 23 km per hour and starts at mile 10. Gabby bikes 28 km per hour and starts at hour 0. Which system of linear equat
Goshia [24]

Answer:

Miguel: d = 23t + 10

Gabby: d = 28t

Step-by-step explanation:

We can write the equation for each case in slope-intercept form, d = mt + b

Where,

d = total distance

t = time

m (rate) = distance/hr

b = initial value

✔️ Miguel:

m = 23 km/hr

b = 10 mile

Equation: subtitle the values into d = mt + b

d = 23t + 10

✔️ Gabby:

m = 28 km/hr

b = 0 mile

Equation: subtitle the values into d = mt + b

d = 28t + 0

d = 28t

4 0
3 years ago
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