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3 years ago

What are the values of x and y for which quadrilateral is ABCD is a parallelogram? Explain.

Mathematics

1 answer:

Mrac [35]3 years ago

6 0

Answer:

The value of x = 2.

The value of y = 1.

Step-by-step explanation:

The length of opposite sides of a parallelogram are equal.

Hence, the length of 4x - 3 and x + 3 are equal.

Similarly, the lengths of 3y and 5y - 2 are equal.

$\therefore 4x - 3 = x + 3$

$\implies 3x = 6$

$\implies \textbf{x = 2}$

And $3y = 5y - 2$

$2y = 2$

$\implies \textbf{y = 1}$

Therefore, the values of x and y are: 2; 1 respectively.

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What is the slope of the line that passes through the points (1, -6)(1,−6) and (-8, 9) ?(−8,9)?

Monica [59]

Answer:

The answer to your question is m = -5/3

Step-by-step explanation:

Data

Point 1 = (1, -6)

Point 2 = (-8, 9)

Process

To find the slope just substitute the values in the formula and simplify.

Formula

slope = m = (y2 - y1) / (x2 - x1)

-Identify x1, y1, x2 and y2

x1 = 1 y1 = -6 x2 = -8 y2 = 9

-Substitution

m = (9 + 6) / (-8 - 1)

-Simplification

m = 15/-9

-Result

m = -5/3

4 0

3 years ago

Solve 4(-4x- 3)> 36

wariber [46]

Answer:

x=3

Step-by-step explanation:

Simplifying

4(4x + -3) = 36

Reorder the terms:

4(-3 + 4x) = 36

(-3 * 4 + 4x * 4) = 36

(-12 + 16x) = 36

Solving

-12 + 16x = 36

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '12' to each side of the equation.

-12 + 12 + 16x = 36 + 12

Combine like terms: -12 + 12 = 0

0 + 16x = 36 + 12

16x = 36 + 12

Combine like terms: 36 + 12 = 48

16x = 48

Divide each side by '16'.

x = 3

Simplifying

x = 3

8 0

3 years ago

Read 2 more answers

Write an expression that shows 9 less than the product of 11 and 3.5

Alex73 [517]

try this for answer (11×3.5)-9=x

8 0

2 years ago

Simplify (x^2y)^3. <br> 1)X^2y^3<br> 2)x^5y^3<br> 3)x^6y^3

dsp73

Answer:

the answer is 2

Step-by-step explanation:

3 0

3 years ago

Seattle, wa and san francisco, ca lie on the same longitudinal line. san francisco is at 38° latitude and seattle is at 47° lati

Varvara68 [4.7K]

Step 1.

Calculate measure of angle α:

$47^o-38^o=9^o$

Step 2.

Calculate what fraction of the angle 360° is the angle α:

$\dfrac{9^o}{360^o}=\dfrac{1}{40}$

Step 3.

Calculate the circumference of the Earth (circle):

$C=2\pi r\to C=2\pi\cdot4000=8000\pi\ mi$

Step 4.

The length of arc is equal 1/40 of the circumference:

$\dfrac{1}{40}C=\dfrac{1}{40}\cdot8000\pi=200\pi\ mi$

$\pi\approx3.14\to\dfrac{1}{40}C\approx200\cdot3.14=628\ mi$

<h3>Answer: A) 628 miles</h3>

8 0

3 years ago