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allochka39001 [22]
3 years ago
6

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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if 33 laptops cost 30,000 dollars, which proportion could be used to determine the cost of 11 laptops?
Juli2301 [7.4K]

Answer:

Fraction=1/3 33=30k 22=20k 11=10k 1=909

Step-by-step explanation:11x3=33 meaning 11=10000.

8 0
3 years ago
An advertisement for a popular weight-loss clinic suggests that participants in its new diet program lose, on average, more than
Sauron [17]

The test statistic for the hypothesis would be 1.413.

Given that the participants in its new diet program lose, on average, more than 13 pounds and the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds.

The objective is to text the advertisement's claim that participants in new diet program lose weight, on average, more than 13 pounds.

Hypothesis:

Null hypothesis:H₀:μ=13

Alternative hypothesis:Hₐ:μ>13

Here, μ be the mean weight loss of all participants.

n=30,

Degree of freedom n-1=30-1=29

\bar{x}=13.8 and s=3.1

To test the null hypothesis H₀, the value of test static would be calculated as follows:

\begin{aligned}t&=\frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}}}\\ t_{29}&=\frac{13.8- 13}{\frac{3.1}{\sqrt{30}}}\\ &=\frac{0.8}{0.566}\\ &=1.413\end

Hence, the value of the test static for the hypothesis with the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds is 1.413.

Learn more about hypothesis from here brainly.com/question/14783359

#SPJ4

6 0
2 years ago
Type the missing number in this sequence:<br><br> 10, 13, 17, ____, 28, 35, 43
vredina [299]

22

Explanation: 10+3=13  13+4=17 17+5=22

8 0
3 years ago
In the air, it had an average speed of 16 1616 m/s m/sstart text, m, slash, s, end text. In the water, it had an average speed o
Diano4ka-milaya [45]

Answer:

t_a = 7 s

t_w = 5 s

Step-by-step explanation:

Given:

- The average speed in air v_a = 16 m/s

- The average speed in water v_w = 3 m/s

- The total distance D = 127 m

- The total time T = 12 s

Find:

How long did the stone fall in air and how long did it fall in the water?

Solution:

- Lets time taken by stone to drop through air as t_a = t_a.

- The time taken in water would be t_w = (12 - t_a)

- The total distance covered can be calculated as:

                            D = v_a*t_a+ v_w*(12 - t_a)

                            127 = 16*t_a + 3*(12 - t_a)

Simplify and solve for t:

                            91 = 16*t_a - 3t_a

                            13*t_a = 91

                            t_a = 7 s

                            t_w = 5 s

                           

8 0
3 years ago
What is the verb in the following sentence? “It is too cold for ice cream.”
romanna [79]

Answer:

Is is the verb.

Hope u understand.... :P

Hope it helps...

4 0
2 years ago
Read 2 more answers
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