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3 years ago

Figure VWYX is a kite. What is the value of x?

Mathematics

2 answers:

prohojiy [21]3 years ago

8 0

Answer:

The value of x is 6.

Step-by-step explanation:

Given information: VWYX is a kite, ∠W=(18x-2)° and ∠X=(12x+2)°.

According to the properties of kite, the sum of opposite angles of a kite is 180°.

In kite VWYX, ∠W and ∠X are opposite angles, so their sum is 180°.

$\angle W+\angle X=180^{\circ}$

$(18x-2)+(12x+2)=180$

On combining like terms we get

$(18x+12x)+(-2+2)=180$

$30x=180$

Divide both sides by 30.

$x=\frac{180}{30}$

$x=6$

Therefore the value of x is 6.

Anestetic [448]3 years ago

3 0

For this case we have that by definition, the sum of the internal angles of a quadrilateral is 360 degrees.

So we have to:

$(18x-2) + (12x + 2) + 90 + 90 = 360$

In the figures they indicate that there are two angles of 90 degrees.

We eliminate parentheses:

$18x-2 + 12x + 2 + 90 + 90 = 360$

We add similar terms:

$18x + 12x-2 + 2 + 90 + 90 = 360\\30x + 180 = 360\\30x = 360-180\\30x = 180\\x = \frac {180} {30}\\x = 6$

Answer:

$x = 6$

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The Statistics Club at Woodvale College sold college Y-shirts as a fundraiser. The result of the sale are shown below. Choose on

zavuch27 [327]

We are asked to find the probability that the student sold 11-15 T-shirts or less than 6 T-shirts.

The total number of club members = 2 + 14 + 12 + 3 + 6 + 1 = 38

Probability of 11-15 T-shirts:

From the table, 3 club members bought 11 - 15 T-shirts.

So the probability is 3/38

Probability of less than 6 T-shirts:

Less than 6 T-shirts means 1 - 5 plus 0 T-shirts.

Form the table, 14 club members bought 1 - 5 T-shirts and 2 club members bought 0 T-shirts.

Total club member who bought 1 - 5 and 0 T-shirts = 14 + 2 = 16

So the probability is 16/38

Now we have to add them together to find the probability that the student sold 11-15 T-shirts or less than 6 T-shirts.

(or means to add)

So the probability is 3/38 + 16/38 = 19/38 = 0.5000

Therefore, the correct answer is option c.

6 0

11 months ago

What is the answer to (8y -6

scZoUnD [109]

Answer:

Step-by-step explanation:

Incomplete presentation of question. Did you want to factor out the greatest common factor (which is 2), obtaining 2(4y - 3)? Or something else? Also: please note that if you use the left parenthesis ) , you MUST also use the right parenthesis ( .

6 0

2 years ago

8.EE.5

olga2289 [7]

Answer:

1.) $slope=2$

2.) $slope=-3$

3.) $slope=\frac{1}{4}$

4.) $slope=-\frac{4}{5}$

Step-by-step explanation:

The unit rate is also known as slope. Slope is the change in the y values over the change in the x values:

$(x_{1},y_{1})\\\\(x_{2},y_{2})\\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=slope$

However, with certain graphs, the slope can be found in a simpler manner.

You start at one point and move across the y-axis, then move along the x-axis until you reach another point on the same line.

Make sure you move on the y-axis first, then the x-axis. Record the slope as spaces moved in each $\frac{y}{x}$

When you move up, the number will be positive $(\frac{+y}{x})$ . If you move down, the number will be negative $(\frac{-y}{x})$ .
If you move to the right, the number will be positive $(\frac{y}{+x})$ . If you move to the left, the number will be negative $(\frac{y}{-x})$ .

8 0

3 years ago

Prepare a perpetual inventory record, using the FIFO inventory costing method, and determine the company's cost of goods sol

krek1111 [17]

Answer:

The First-In, First-Out (FIFO) inventory costing method assumes that the inventory items ordered first are the first ones sold.

Step-by-step explanation:

The First-In, First-Out inventory costing method assumes that the inventory items ordered first are the first sold. This is ideal for goods that are highly perishable, for example fresh milk. Since no figures or dates are given, we will assume that the month is March 2019 and use any figures to make the example.

Date Item Quantity of stock Cost Price

01 Opening stock bought on Feb 28 10 100

05 Sale of 5 goods (cost is $10 each) (5) 50

15 Purchase of stock (20 goods at $20 each) 20 400

25 Sale of 15 goods (15) 250

(5 at $10 each & 10 at $20 each)

31 Closing Stock 10 200

(20 goods bought on 15th - 10 goods sold on 25th)

The quantity on hand at the end of the month is 10 units.

Total cost of goods on hand at end of the month = 10 units * $20 = 200.

Total cost of goods purchased during the month = $20 * 20 units = $400

Total cost of goods sold during the month = [($10 *5) + ($10 * 5)+ ($20 * 10)] = $200

6 0

3 years ago

{[3 x (3+6) - 5] + 20 x 2

Nataliya [291]

Answer:

a. 62

Step-by-step explanation:

use the Bodmas method

=3×9-5+20×2

=<u>62</u><u> </u>

7 0

2 years ago