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3 years ago

Y=-5/3x+3 Y=1/3x-3 (3,2)

Mathematics

1 answer:

Lunna [17]3 years ago

3 0

Answer:

Step-by-step explanation:

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Find values of x and y for which ABCD must be a parallelogram. The diagram is not drawn to scale.

Arturiano [62]

ANSWER
$x=4, y=8$

EXPLANATION

If ABCD is a parallelogram, then

line AB is parallel to line DC .

This means that,

$(x + 2) \degree$
and

$(2x - 2) \degree$
are alternating angles.

Alternate angles are congruent.

This implies that,

$2x - 2 = x + 2$

We group like terms to obtain,

$2x - x = 2 + 2$

This simplifies to,

$x = 4$

Also, if ABCD is a parallelogram then,

BC is parallel to AD. This means that,

$5y - 8 = y + 24$

We group like terms to get,

$5y - y = 24 + 8$

This simplifies to,

$4y = 32$

We divide both side by 4 to get,

$y = 8$

6 0

3 years ago

Read 2 more answers

What is the product?

victus00 [196]

Answer:

$\begin{bmatrix}-2\\0 \end{bmatrix}$

Step-by-step explanation:

We have the product, $2\times \begin{bmatrix}-1\\0 \end{bmatrix}$ .

It is known that,

'When we multiply a scalar with a matrix, the scalar is multiplied by each element of the matrix'.

So, we get,

$2\times \begin{bmatrix}-1\\0 \end{bmatrix}$ .

⇒ $\begin{bmatrix}-1\times 2\\0\times 2 \end{bmatrix}$

⇒ $\begin{bmatrix}-2\\0 \end{bmatrix}$

So, the resulting product is $\begin{bmatrix}-2\\0 \end{bmatrix}$ .

8 0

3 years ago

Read 2 more answers

What is the value of u ?

nataly862011 [7]

Is the value of u40.9 degrees

6 0

3 years ago

Read 2 more answers

14 maids share five granola bars equally. Draw to show how much each person gets. Share the amounts that one person gets. Write

Alecsey [184]

first you divide14 and 5 and you get 2.8 then you turn 2.8 into 2 8/10

2 8/10 is your answer

4 0

3 years ago

Lily weighs 57.7 kg while her sister weighs 59.02 kg, how much more does Lily's sister weigh then her? Please provide the calcul

PilotLPTM [1.2K]

The answer is 1.32

For this calculation, assuming that no conversions are required, the calcitonin goes as follows:

All that is needed is to subtract 57.7 from 59.02.

59.02 - 57.7 = ?

59.02 - 57.7 = 1.32

Hope this helps! Have a great day.

5 0

3 years ago