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2 years ago

Solve for the values of x and y in each item to make the given quadrillater a parallelogram

Mathematics

1 answer:

maria [59]2 years ago

3 0

Answer:

For given parallelogram, the value of x = 114° and y = 66°

Step-by-step explanation:

(Refer figure)

Given quadrilateral ABCD is a parallelogram.

m∠A = 66°

m∠B = x°

m∠C = y°

m∠D = 114°

Since by properties of parallelogram, the both pairs of opposite sides of a parallelogram are parallel.

Opposite angles of a parallelogram are congruent ...........................(1)

Consecutive angles of a parallelogram are supplementary ................(2)

Using (1) for given parallelogram ABCD; we get,

m∠B = m∠D

m∠A = m∠C

Therefore x = 114° and y = 66°.

Using (2) to check whether the two consecutive angles are supplementary.

( m∠A + m∠D ) = ( m∠B + m∠C ) = ( m∠C + m∠D ) = 66° + 114° = 180°

Hope it helps!!

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1 year ago

Which of the following is equivalent to (-2/3) with a exponent of 3

Zinaida [17]

Answer:

( -8,27) I believe

Step-by-step explanation:

Because you times 2x2x2=8 and 3x3x3=27. Getting( -8,27)

Hope this helps :)

4 0

2 years ago

Helppop!!A car and van are driving on a highway. The table shows the amount y (in gallons) of gas in the cars gas tank after dri

Korvikt [17]

Answer:

The car uses less gas

They use the same amount of gas after $\frac{640}{7}$ miles

Step-by-step explanation:

Given

The table represents the car mileage

$y = -\frac{1}{5}x + 31$ --- The van

First, calculate the car's slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

From the table, we have:

$(x_1,y_1) = (60,13.5);\ \ (x_2,y_2) = (180,10.5)$

So, we have:

$m = \frac{10.5 - 13.5}{180 - 60}$

$m = \frac{-3}{120}$

$m = -\frac{1}{40}$

Calculate the equation using:

$y = -\frac{1}{40}(x - 60)+13.5$

$y = -\frac{1}{40}x + 1.5+13.5$

$y = -\frac{1}{40}x + 15$

$m = -\frac{1}{40}$ implies that for every mile traveled, the car uses 1/40 gallon of gas

Also:

$y = -\frac{1}{5}x + 31$ --- The van

By comparison to: $y = mx + b$

$m = -\frac{1}{5}$

This implies that for every mile traveled, the van uses 1/5 gallon of gas.

By comparison:

$1/40 < 1/5$

This means that the car uses less gas

Solving (b): Distance traveled for them to use the same amount of gas.

We have:

$y = -\frac{1}{5}x + 31$ --- The van

$y = -\frac{1}{40}x + 15$ --- The car

Equate both

$-\frac{1}{5}x + 31 =-\frac{1}{40}x + 15$

Collect like terms

$\frac{1}{40}x -\frac{1}{5}x =-31 + 15$

$\frac{1}{40}x -\frac{1}{5}x =-16$

Take LCM

$\frac{x - 8x}{40} = -16$

$\frac{- 7x}{40} = -16$

Solve for -7x

$-7x = -640$

Solve for x

$x = \frac{640}{7}$

5 0

2 years ago

Factorise the following

andreyandreev [35.5K]

Answer:

Below.

Step-by-step explanation:

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e) 3x⁴-54t = 3(x^4 - 18t)

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g) 2(x⁴+x³-12x²) = 2x^2(x + 4)(x - 3)

h) 20(x³-1) = 20(x - 1)(x^2 + x + 1)

7 0

1 year ago

Hii i’ll give brainliest please help thanks :)

Juli2301 [7.4K]

Answer:

i think its b

Step-by-step explanation:

that was on my test and i do not remember what anwer i put

3 0

2 years ago

Solve for the values of x and y in each item to make the given quadrillater a parallelogram​

Solve for the values of x and y in each item to make the given quadrillater a parallelogram