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3 years ago

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

Mathematics

2 answers:

leva [86]3 years ago

8 0

The sum of angles in any Rhombus is 360 degrees.Opposite angles of a rhombus are congruent.

Two of the adjacent angles are 2x+20 and 50 degrees.

The opposite angles measure 2x+20 and 50 degrees.

Sum of angles in any Rectangle is 360

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

Adding line terms,

4x+140=360

Subtracting 140 both sides:

4x=220

Dividing both sides by 4

x=55

Option B. 55 is the right answer.

dsp733 years ago

7 0

The 4 angles of a rhombus should add up to be 360 degrees.

So,........................... 2x + 20 + 2x + 20 + 50 +50 = 360

Combine like terms:............................... 4x + 140 = 360

Subtract 140 from both sides ..........................4x = 220

Divide by 4.............................................................. x = 55

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Answer:

Step-by-step explanation:

we can see that the line goes thru the point (-1,2) and (4,-2) now to find slope we just find change in y over change in x

more visually:

(y1-y2)/(x1-x2)

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to find slope we plug in the values to our slope equation and we get this:

(2-(-2))/( -1-4)

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4/-5

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3 years ago

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Answer -
AB = AM + MB

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4 years ago

Sin6x-sin4x<br><br> Express the given sum or difference as a product of sines or cosines.

myrzilka [38]

It will be 24 because 6 times 4 is 24.

7 0

4 years ago

A jogger runs 4 miles on Monday, 5 miles on Tuesday, 3 miles on Wednesday, and 5 miles on Thursday. He doesn’t run on Friday. Ho

Dafna11 [192]

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3 years ago

Read 2 more answers

Janet is training for a marathon. She decides to track her time per mile, in minutes, for 8 weeks. Which equation best fits the

Anna007 [38]

Answer:

$y=-0.18 x+10.06$

Step-by-step explanation:

The nine coordinates are $(0,10)$ , $(1,9.9)$ , $(2,9.6),(3,9.5), (4,9.4), (5,9.2), (6,9), (7,8.7), (8,8.6)$

To find the line that best fit the data is to substitute the values in this equation $y=a x+b$ where $a=\frac{\left(N * \sum x y\right)-\left(\sum x * \sum y\right)}{\left(N * \sum x^{2}\right)-\left(\sum x * \sum x\right)}$ and $b=\frac{\left(\sum x^{2} * \Sigma y\right)-\left(\sum x * \Sigma x y\right)}{\left(N * \Sigma x^{2}\right)-\left(\sum x * \Sigma x\right)}$

Using the values from the table attached below, we can substitute and find the values of a and b

Substituting the values of a, we get,

$\begin{aligned}a &=\frac{\left(N * \sum x y\right)-\left(\sum x * \Sigma y\right)}{\left(N * \sum x^{2}\right)-\left(\sum x * \sum x\right)} \\&=\frac{(9 * 324.9)-(36 * 83.9)}{(9 * 204)-(36 * 36)} \\&=-0.18\end{aligned}$

Similarly, substituting the values of b, we get,

$\begin{aligned}b &=\frac{\left(\sum x^{2} * \Sigma y\right)-\left(\sum x * \sum x y\right)}{\left(N * \sum x^{2}\right)-\left(\sum x * \sum x\right)} \\&=\frac{(204 * 83.9)-(36 * 315)}{(9 * 204)-(36 * 36)} \\&=10.06\end{aligned}$

Thus, substituting the values of a and b in the formula, we get,

$\begin{aligned}y &=a x+b \\&=-0.18 x+10.06\end{aligned}$

8 0

3 years ago