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goldfiish [28.3K]

2 years ago

9

If you are given a parallelogram with the top right and left corners each measuring 72* and the bottom right corner measuring 10

8*. What is the measurement of the missing corner, the bottom left corner of the parallelogram?

1 answer:

Crank2 years ago

8 0

Answer: $108^{\circ}$

Step-by-step explanation:

Given

The top left and right corners measures $72^{\circ}$ and the bottom right corner measures $108^{\circ}$ .

Suppose the missing corner measures $x$

So, the sum of the four angles of parallelogram is $360^{\circ}$

$\therefore x+72^{\circ}+108^{\circ}+72^{\circ}=360^{\circ}\\\Rightarrow x=360^{\circ}-252^{\circ}\\\Rightarrow x=108^{\circ}$

Therefore, the missing angle is $108^{\circ}$ .

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I need help please!!!!

ycow [4]

Answer:

x = 14.48

Step-by-step explanation:

first we have to see that we have the measurements from all sides

and we know that the angle between side 21 and 20 is 90 degrees

well to start we have to know the relationships between angles, legs and the hypotenuse.

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

let's take the left angle as α

sin α = 21/29

α = sin^-1 (21/29)

α = sin^-1 (0.7241)

α = 46.397

Now we do the same with the smaller triangle

tan α = o/a

sin 46.397 = x/20

0.724 = x/20

0.724 * 20 = x

14.48 = x

x = 14.48

if we want to check it we can do the same procedure with the other angle

4 0

2 years ago

: A cake recipe calls for 4 cups of flour and 2 cups of sugar.

solong [7]

Answer:

1 cup of sugar per 2 cups of flour

Step-by-step explanation:

7 0

2 years ago

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Triangles ABC and DFG are similar. Which proportion can be used to find the value of DG¯¯¯¯¯¯? 74=20DG 75=25DG 45=20DG 420=7DG

Tom [10]

The correct answer would be B

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2 years ago

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Work out the equation of<br> the line that goes through<br> (3, 2) and (-1, 10)

Natali5045456 [20]

Answer:

$The\,\,equation\,\,will\,\,be\,\,2x+y=8$

Step-by-step explanation:

Let, A=(3,2)

B=(-1,10)

So, The equation will be

$\frac{x-x_{1} }{x_{1} -x_{2} } =\frac{y-y_{1} }{y_{1} -y_{2} } \\=>\frac{x-3 }{3-(-1) } =\frac{y-2 }{2-10} \\=>\frac{x-3 }{4} =\frac{y-2 }{-8}\\=>-8x+24=4y-8\\=>8x+4y=32\\=>2x+y=8$

Hope you have understood this.....

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5 0

2 years ago

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A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)

Maksim231197 [3]

Answer:

a

The 95% confidence interval is $0.0503 < p < 0.1297$

b

The sample proportion is $\r p = 0.09$

c

The critical value is $Z_{\frac{\alpha }{2} } = 1.96$

d

The standard error is $SE =0.020$

Step-by-step explanation:

From the question we are told that

The sample size is n = 200

The number of defective is k = 18

The null hypothesis is $H_o : p = 0.08$

The alternative hypothesis is $H_a : p > 0.08$

Generally the sample proportion is mathematically evaluated as

$\r p = \frac{18}{200}$

$\r p = 0.09$

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the standard of error is mathematically represented as

$SE = \sqrt{\frac{\r p (1 - \r p)}{n} }$

substituting values

$SE = \sqrt{\frac{0.09 (1 - 0.09)}{200} }$

$SE =0.020$

The margin of error is

$E = Z_{\frac{ \alpha }{2} } * SE$

=> $E = 1.96 * 0.020$

=> $E = 0.0397$

The 95% confidence interval is mathematically represented as

$\r p - E < \mu < p < \r p + E$

=> $0.09 - 0.0397 < \mu < p < 0.09 + 0.0397$

=> $0.0503 < p < 0.1297$

7 0

2 years ago