All categories

2 years ago

Suppose ABCD is a rectangle, F and G are points on

Mathematics

1 answer:

Elanso [62]2 years ago

3 0

The two sides are equal and for that reason DE = CE as shown below :

AD = BC, DF = GC

E = A(F) and E = BG, therefore A(F) = BF

<h3>Description of rectangle</h3>

Now we all know that a rectangle has four edges which are A, B, C, D.

when we divide the bottom line, which is the line from point C to D into three parts we will have ( DF, FG, and GC )

From the question we know that DF = GC

E is the intersection of A(F) and BG

we can now Prove that DE = CE.

since D and C are point included in E and since this is a rectangle

AD = BC, DF = GC

E = A(F) and E = BG, therefore A(F) = BF

DE = CE

We can conclude by saying that in a rectangle two sides are equal and for that reason DE = CE

Learn more about Rectangle : brainly.com/question/22148953

You might be interested in

73 people are on the train. At a train stop 24 people get off and 19 people get on. How many people are on the train now?

expeople1 [14]

73 minus 24 plus 19 gives you 68 people left on the train.

3 0

3 years ago

PLEASE HELP ME WITH THIS QUESTION!! Thanks

Gre4nikov [31]

Answer:

20% probability

Step-by-step explanation:

First, we need to calculate the area of all the figures inside the rectangle.

Area of triangle= 1/2 BH

So, 3x2=(6)

Area of Square= L^2

3x3=(9)

Area of rectangle= LxW

=60.

60+9+6= 75.

75 is the total area.

Now, lets find the added area of only the triangle and square.

9+6= 15

The probability will be 15/75=

Convert into percent form

= 20%

Hope this helps and please mark me brainliest :)

7 0

2 years ago

Ad libitum [116K]

The transformation of a function may involve any change. The correct option is D.

<h3>How does the transformation of a function happen?</h3>

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units, y=f(x+c) (same output, but c units earlier)
Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

Up by d units: y = f(x) + d
Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k \times f(x)
Horizontal stretch by a factor k: y = f(\dfrac{x}{k})

Given the function f(x)=2ˣ, while the h(x)=-3(2ˣ), therefore, the function f(x) is a reflection and a translation of a function. Hence, the correct option is D.

Learn more about Transforming functions:

brainly.com/question/17006186

#SPJ1

4 0

2 years ago

A random sample of 864 births in a state included 426 boys. Construct a 95% confidence interval estimate of the proportion of bo

oksian1 [2.3K]

Using the z-distribution, it is found that the 95% confidence interval is (0.46, 0.526), and it does not provide strong evidence against that belief.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

We have that a random sample of 864 births in a state included 426 boys, hence the parameters are given by:

$n = 864, \pi = \frac{426}{864} = 0.493$

Then, the bounds of the interval are given by:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 - 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.46$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 + 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.526$

The 95% confidence interval estimate of the proportion of boys in all births is (0.46, 0.526). Since the interval contains 0.506, it does not provide strong evidence against that belief.

More can be learned about the z-distribution at brainly.com/question/25890103

4 0

2 years ago

What is the ratio of 5 whales and 5 fish?

abruzzese [7]

1:1, because there’s a same number of both !

8 0

1 year ago