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3 years ago

Find the value of x in the rectangle ABCD.

Mathematics

2 answers:

natta225 [31]3 years ago

4 0

Answer:

52 because D is a right angle,so 90 - 38 will give you 32

another interesting thing that can help you in math, the opposite sides if a quad are always equal, in this case D and B is equal,and C and A is equal.If you add C and a it will give you 180 degrees and if you add d and b it will give you 180 degrees

so 180 + 180

attashe74 [19]3 years ago

3 0

Answer:

52°

Step-by-step explanation:

here's your solution

=> we know that the measure of angle of rectangle is 90°

=> 38° + X = 90°

=> X = 90° - 38°

=> X = 52°

hope it helps

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NEED HELP!!!!! Which of these sequences is a geometric sequence?

White raven [17]

Only in d. are the number related by multiplication (Multiplied by 3 each time to get the next number in the sequence).

3 x 3 =9
9 x 3 =27
27 x 3 = 81 etc.

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4 years ago

The average gasoline price of one of the major oil companies in Europe has been $1.25 per liter. Recently, the company has under

umka2103 [35]

Answer:

1. Option A) Reject the null hypothesis

2. Option B) 0.0062

Step-by-step explanation:

We are given the following in the question:

1. Population mean, μ = $1.25 per liter

Sample mean, $\bar{x}$ = $1.20 per lite

Sample size, n = 49

Alpha, α = 0.05

Population standard deviation, σ = $0.14

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 1.25\text{ dollars per liter}\\H_A: \mu < 1.25\text{ dollars per liter}$

We use one-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{1.20 - 1.25}{\frac{0.14}{\sqrt{49}}}= -2.5$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis.

Option A) Reject the null hypothesis

Thus, there is enough evidence to support the claim that efficiency measures have reduced the prices.

2. We can calculate the p value from the standard table.

P-value = 0.0062

Option B) 0.0062

4 0

3 years ago

Prime factorization of 55

zheka24 [161]

Answer:

5 × 11

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

If the mean salary of high school teachers In the United States is $42,335 and the standard deviation is 2,000 the probability t

masya89 [10]

Answer: The probability that a randomly selected teacher will make more than $40,542 per year is 0.82

Step-by-step explanation:

Looking at the information given, the population mean and population standard deviation are known. We would apply the formula

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = population standard deviation

From the information given,

µ = $42335

σ = 2000

x = $40542

The probability that a randomly selected teacher will make more than $40,542 per year is expressed as

P(x > 40542) = 1 - P(x ≤ 40542)

For P(x ≤ 40542),

z = (40542 - 42335)/2000 = - 0.9

Looking at the normal distribution table, the probability corresponding to the z score is 0.18

P(x > 40542) = 1 - 0.18 = 0.82

3 0

3 years ago

Solve this pleasee!!!!!!!!!!!

Sholpan [36]

Answer:

1) Solution (2,-3)

2) Solution (-1, $-\frac{3}{2}$ )

3) Solution ( $\mathbf{-\frac{1}{2},-\frac{5}{2}}$ )

Step-by-step explanation:

We need to solve equations using elimination

1) $2x+2y=-2\\3x-2y=12$

Let:

$2x+2y=-2--eq(1)\\3x-2y=12--eq(2)$

Adding both equations:

$2x+2y=-2\\3x-2y=12\\--------\\5x=10\\x=\frac{10}{5}\\x=2$

We get value of x = 2

Now, put value of x into equation 1 to find value of y

$2x+2y=-2\\Put\:x=2\\2(2)+2y=-2\\4+2y=-2\\2y=-2-4\\2y=-6\\y=-6/2\\y=-3$

So, we get y = -3

Solution (2,-3)

2) $4x-2y=-1\\-4x+4y=-2$

Let:

$4x-2y=-1--eq(1)\\-4x+4y=-2--eq(2)$

Adding both equations

$4x-2y=-1\\-4x+4y=-2\\------\\2y=-3\\y=\frac{-3}{2}$

We get: y= -3/2

Now find value of x by putting value of y in eq(1)

$4x-2y=-1\\Put\:y=\frac{-3}{2}\\4x-2( \frac{-3}{2})=-1\\4x+3=-1\\4x=-1-3\\4x=-4\\x=\frac{-4}{4}\\x=-1$

We get x = -1

Solution (-1, $-\frac{3}{2}$ )

3) $x-y=2\\x+y=-3$

let:

$x-y=2--eq(1)\\x+y=-3--eq(2)$

Add both equations:

$x-y=2\\x+y=-3\\-----\\2x=-1\\x=-\frac{1}{2}$

We get x = -1/2

Now, put value of x in equation 2

$x+y=-3\\-\frac{1}{2}+y=-3\\y=-3+ \frac{1}{2}\\y=\frac{-6+1}{2}\\y=\frac{-5}{2}$

We get y = -5/2

Solution ( $\mathbf{-\frac{1}{2},-\frac{5}{2}}$ )

7 0

3 years ago