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LenKa [72]
3 years ago
15

The difference between two same-side interior angles of two parallel lines is 35 degrees. Find the measures of these two angles.

Mathematics
2 answers:
vampirchik [111]3 years ago
8 0

Answer:

The measures of the angles would be 107.5 and 72.5.

Step-by-step explanation:

The angles should up to 180 degrees.

You can make two equations to solve it:

x+y=180

x-y=35

You add both of the equations.

2x = 215

X = 107.5

Y = 72.5

Leona [35]3 years ago
4 0

Answer:

angle 1:    72.5°

angle 2:   107.5°

Step-by-step explanation:

x + y = 180

x - y = 35         ===>      x = 35 + y

Substitution to find angle y:

  x + y = 180

  (35 + y) + y = 180

  35 + 2y = 180

  2y = 145

  y = 72.5

Substitution to find angle x:

  x = 35 + y

  x = 35 + (72.5)

  x = 107.5

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Answer:

t=x+44

Step-by-step explanation:

the x ounces are being added to the vase's pre-existing 44 ounces so therefore the equation is t=x+44

7 0
3 years ago
A dog won a race at the local fair by running 3 and one fourth miles in exactly 2 hours. At this constant​ rate, how long does i
Novosadov [1.4K]

Answer:

\frac{4}{5} hour

Step-by-step explanation:

Let x represent time taken by dog to run the 1 and three tenths ​-mile state fair​ race.

We have been given that a dog won a race at the local fair by running 3 and one fourth miles in exactly 2 hours.

We will use proportions to solve our given problem as:

\text{Speed}=\frac{\text{Distance}}{\text{Time}}

We will equate both speeds as:

\frac{1\frac{3}{10}}{x}=\frac{3\frac{1}{4}}{2}

\frac{\frac{13}{10}}{x}=\frac{\frac{13}{4}}{2}

\frac{13}{10\cdot x}=\frac{13}{4\cdot 2}

Cross multiply:

13\cdot 10\cdot x=13\cdot 4\cdot 2

10\cdot x=4\cdot 2

\frac{10\cdot x}{10}=\frac{4\cdot 2}{10}

Therefore, it will take \frac{4}{5} hour to complete 1\frac{3}{10} mile state fair​ race.

7 0
3 years ago
Find x and y so that the quadrilateral is a parallelogram.
sergiy2304 [10]

Answer:

Result:

  • The value of x = 12
  • The value of y = 21

Step-by-step explanation:

Given

The parallelogram DEFG

DE = 6x-12

FG = 2x+36

EF = 4y

DG = 6y-42

We know that the opposite sides of a parallelogram are equal.  

As DE and FG are opposite sides, so

DE = FG

substituting DE = 6x-12 and FG = 2x+36 in the equation

6x-12 = 2x+36

6x-2x = 36+12

simplifying

4x = 48

dividing both sides by 4

4x/4 = 48/4

x = 12

Therefore,

The value of x = 12

Also, EF and DG are opposite sides, so

EF = DG

substituting EF = 4y and DG = 6y-42 in the equation

4y = 6y-42

switching sides

6y-42 = 4y

6y-4y = 42

2y = 42

dividing both sides by 2

2y/2 = 42/2

y = 21

Therefore,

The value of y = 21

Result:

  • The value of x = 12
  • The value of y = 21
3 0
3 years ago
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pickupchik [31]

Answer:

the probability that she rolls a blue is 33.3% or 1/3. the probability that she lands heads is 50% or 1/2

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3 years ago
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WARRIOR [948]

Answer:

C) 1/-3

Step-by-step explanation:

I think (if not then 1/3)

Hope this helps

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8 0
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