I need to know how to find angle "H"

The rectangles in the figure below are similar. Find the value of x

V125BC [204]

Answer:

C. 6

Step-by-step explanation:

It is given that the rectangles in the figure are similar.

Thus, the corresponding sides of the two rectangles will be equal.

So, we get,

$\frac{3}{x}=\frac{5}{x+4}$

i.e. $3(x+4)=5x$

i.e. $3x+12=5x$

i.e. $2x=12$

i.e. x = 6.

Hence, the value of x is 6.

3 0

3 years ago

Read 2 more answers

Several years ago, 38% of parents who had children in grades K-12 were satisfied with the quality of education the students r

Colt1911 [192]

Answer:

$0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995$

$0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564$

We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

For this case we are interesting in the parameter of the true proportion of people satisfied with the quality of education the students receive

The confidence level is given 95%, the significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical values are:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The estimated proportion of people satisfied with the quality of education the students receive is given by:

$\hat p =\frac{499}{1165}= 0.428$

The confidence interval for the proportion if interest is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

And replacing the info given we got:

$0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995$

$0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564$

We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

8 0

3 years ago

Simplify (3^-2) ^4 what is it

Lana71 [14]

Answer:

1/6561

Step-by-step explanation:

3^-2 = 1/9

1/9^4 = 1/6561

5 0

2 years ago

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Determine the unknown angle measures, to the nearest degree, in the diagram provided.

serg [7]

Answer:

a is 53.8°, and b is 36.2°

Step-by-step explanation:

Using sine trig rule:

${ \boxed{ \bf{ \sin(b) = \frac{opposite}{hypotenuse} }}}$

${ \tt{ \sin(b) = \frac{78}{132} }} \\ \\ { \tt{b = { \sin }^{ - 1}( \frac{78}{132} ) }} \\ \\ { \tt{b = 36.2 \degree}}$

Summation of angles of triangle:

${ \tt{a + b + 90 \degree = 180 \degree}} \\ { \tt{a + 36.2 \degree + 90 \degree = 180 \degree}} \\ { \tt{a = (180 - 36.2 - 90) \degree}} \\ { \tt{a = 53.8 \degree}}$

7 0

2 years ago

Helppp meeeeeeeeeeeeeee

Leni [432]

Measuring the figure with a ruler, length = 2 inch and width = 1.5 inch

It is given that 1/2 inch = 4 feet

1 inch = 4*2 = 8 feet

Area of rectangle = length * width

Length = 2*8 = 16 feet

Width = 1.5*8 = 12 feet

Area of Quintoe's bedroom = 16 feet * 12 feet = $192 feet^2$

Hence option C is correct.

5 0

3 years ago