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kirza4 [7]
2 years ago
8

A quilt is designed using a square pattern. each square contains two rectangles. each rectangle contains a shaded rhombus. each

rectangle contains a shaded rhombus. the left angle is 50 degrees and the top angle is (2 x 20) degrees. what is the value of x? 50 55 125 145
Mathematics
1 answer:
Xelga [282]2 years ago
8 0

Based on the calculations, the value of x in this rhombus is equal to: B. 55.

<h3>How to determine the value of x?</h3>

Since the opposite angles in a rhombus are always congruent, the sum of each angle in any rhombus must be equal to 360 degrees.

From the image of the rhombus, we can deduce the following parameters:

Adjacent angles = 2x + 20 and 50 degrees.

Opposite angles = 2x + 20 and 50 degrees.

Adding the angles, we have:

2x + 20 + 2x + 20 + 50 + 50 = 360

4x + 140 = 360

4x = 360 - 140

4x = 220

x = 220/4

x = 55°

Read more on rhombus here: brainly.com/question/11586845

#SPJ4

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In an effort to improve scores on college-entrance exams, the principal at a large high school chooses 35 students
denpristay [2]

Using the t-distribution, it is found that the test statistic for the hypotheses test is given by:

t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}

<h3>What are the hypotheses tested?</h3>

At the null hypotheses, it i tested if the mean difference remains the same, that is:

H_0: \mu  = 0

At the alternative hypotheses, it is tested if it has decreased, hence:

H_a: \mu < 0.

<h3>What is the test statistic?</h3>

The test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • s is the standard deviation of the sample.
  • n is the sample size.

The parameters are given as follows:

\overline{x} = -1.75, s = 7.12, n = 35.

Hence the test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}

More can be learned about the t-distribution at brainly.com/question/16162795

#SPJ1

5 0
1 year ago
Camilla bought a book that was on sale for 25% off the retail price. The retail price of the book was $12. What was the price Ca
Nonamiya [84]

Answer:

The price that Camilla paid for the book was $9.

Step-by-step explanation:

To be able to find the pice that Camilla paid for the book, first, you have to calculate the 25% of the price of the book:

$12*25%=$3

Now, you have to subtract that amount from the price of the book:

$12-$3=$9

According to this, the answer is that the price that Camilla paid for the book was $9.

6 0
2 years ago
If sin ZA = { and cos ZA = }, what is tan ZA?
Ainat [17]

Answer:

A: 3/4

Step-by-step explanation:

sine is the length of the opposite side / length the hypotenuse side

cosine is the length of the adjacent side / length the hypotenuse side

using what's given:

  • the opposite side has a length of 3
  • the adjacent side has a length of 4
  • the hypotenuse side has a length of 5

Tangent is the ratio between the opposite side length and the adjacent side length (opp/adj). With our givens, this means tan(A) = 3/4. See image for more.

5 0
3 years ago
Solving equation by multiplying
jeka94
Do you have a picture of the problem
6 0
3 years ago
Use the elimination to solve this equation. <br><br> 2x+3y=55 <br> 9x+4y=105
seropon [69]
X=5 y=15 (5,15). 
This is how you do it:
-4(2x+3y=55): -8x-12y=-220
3(9x+4y=105):27x+12y=315

You add the two new equations together, canceling out the y values, and get the x value. Then, you go back and plug in the x value in the original equation to get the y value.

6 0
2 years ago
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