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3 years ago

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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Lubov Fominskaja [6]

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

Leah flips a coin, then spins a spinner with 3 equal sides colored red, green, and blue. what is the probability that she:

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

5 0

3 years ago

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WARRIOR [948]

Answer:

C) 1/-3

Step-by-step explanation:

I think (if not then 1/3)

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__________

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8 0

3 years ago