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3 years ago

Two angles are said to be congruent if

2 answers:

6 0

Congruent means Same Side, Same Shape.
If two angles are congruent, they are to be of the same size and same shape or a fraction of it (Dilation)

Feliz [49]3 years ago

3 0

They have the same angle measure.

You might be interested in

Issac earned $1800 last month. He put $270 into savings. What percent of his earnings did Issac put in savings?

xz_007 [3.2K]

Its 15% because you have to divide 270 by 1800

8 0

3 years ago

Read 2 more answers

What is the range of the function f(x) = 3x2 + 6x – 8?

oee [108]

f(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by {y|y ≥ k}, where k is the y-coordinate of the vertex.

, written in vertex form is

, where (h, k) = (-1, -11)

Therefore, range ={y|y ≥ -11}

3 0

2 years ago

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estim

pogonyaev

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by $\alpha=1-0.80=0.20$ and $\alpha/2 =0.10$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.28$

Solution to the problem

The margin of error for the proportion interval is given by this formula:

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

Since we don't have prior info for the proportion of interest we can use $\hat p=0.5$ as estimator. And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

5 0

3 years ago

Solve for x when 4x+16/12=x-4

stira [4]

Answer:

In short, Your Answer would be either 1 or 7

Step-by-step explanation:

|4x + 12| = 16

As it is in modulus function, it could be either +ve or -ve

4x+12 = 16 OR 4x - 12 = 16

4x = 16-12 OR 4x = 16 + 12

4x = 4 OR 4x = 28

x = 4/4 OR x = 28/4

8 0

2 years ago

Kevin traveled at a constant speed on the highway from Hickory Hills to Chicago in 20 minutes. The distance from Hickory Hills t

beks73 [17]

Answer: $V=51\ \frac{mi}{h}$

Step-by-step explanation:

You need to used the following formula:

$V=\frac{d}{t}$

Where "V" is the speed, "d" is the distance and "t" is the time.

In this case you know that Kevin traveled at a constant speed on the highway from Hickory Hills to Chicago in 20 minutes (which is $\frac{1}{3}\ h$ ) and the distance is 17 miles. Then, you can identify that:

$t=\frac{1}{3}\ h\\\\d=17\ mi$

Therefore, knowing these values, you can substitute them into the formula. Then, you get:

$V=\frac{17\ mi}{\frac{1}{3}\ h}\\\\V=51\ \frac{mi}{h}$

8 0

3 years ago