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3 years ago

Parallelogram ABCD has the angle measures shown. Can you conclude that it is a rhombus, a rectangle, or a square? Explain.

Mathematics

1 answer:

Hoochie [10]3 years ago

5 0

Answer:

The correct option is parallelogram ABCD is a rhombus, because the diagonal bisects two angles

Step-by-step explanation:

In triangle ABD:

∠B = ∠D

Thus AB=AC by the property of opposite sides of equal angles are equal

In triangle CBD

∠B = ∠D

Thus CB=CD by the property of opposite sides of equal angles are equal

Thus all four sides of quadrilateral ABCD are equal

And diagonal BD bisects the angles

So, it is a rhombus

Therefore the correct option is parallelogram ABCD is a rhombus, because the diagonal bisects two angles....

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Find the margin of error for the given values of c, o, and n.

Alika [10]

Using the z-distribution, it is found that the margin of error is of 0.059.

We are given the standard deviation for the population, hence the <em>z-distribution</em> is used.

<h3>What is the margin of error for a z-confidence interval?</h3>

It is given by:

$M = z\frac{\sigma}{\sqrt{n}}$

In which:

z is the critical value.

$\sigma$ is the population standard deviation.

n is the sample size.

In this problem, the parameters are:

$\sigma = 0.25, n = 49$ .

Confidence level of 0.90, hence, using a z-distribution calculator, the critical value is z = 1.645.

Then:

$M = z\frac{\sigma}{\sqrt{n}}$

$M = 1.645\frac{0.25}{\sqrt{49}}$

$M = 0.059$

The margin of error is of 0.059.

You can learn more about the z-distribution at brainly.com/question/12517818

4 0

1 year ago

Log based question, i just need help with parts b and c

Tanya [424]

Answer:

b) There is translation 3 units to the right and 1 unit up

c) The domain is {x I x > 3}

The equation of the asymptote is x = 3

Step-by-step explanation:

* Lets revise the rule of the translation

- If the function f(x) translated horizontally to the right

by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left

by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up

by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down

by k units, then the new function g(x) = f(x) – k

* Now lets solve the problem

b) ∵ f(x) = $log_{2} (x-3)+1$

∵ The parent function is $log_{2} x$

∴ x is changed to (x - 3), that means there is a translation 3 units

to the right

∵ We add the parent function by 1, that means there is a translation

1 unit up

* There is translation 3 units to the right and 1 unit up

c) To find the domain of the function, find the values of x which

make the function undefined

∵ $log_{2}(0)$ is undefined

∴ x - 3 can not be 0

∵ x - 3 = 0 ⇒ add 3 to both sides

∴ x = 3

∴ The domain of the function is all real number greater than 3

* The domain is {x I x > 3}

∵ x can not be 3

∴ There is a vertical asymptote, its equation is x = 3

* The equation of the asymptote is x = 3

# Look to the attached graph for more understand for the domain

and the equation of the asymptote

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2 years ago

Solve x2 + 6x = 7 by completing the square. What is the solution set of the equation?

Vikentia [17]

$x^2+6x=7$
$x^2+6x+9=7+9$
$(x+3)^2=16$
$(x+3)^2=4^2$
$x+3=4\lor x+3=-4$
$x=4-3\lor x=-4-3$
$\boxed{x=1\lor x=-7}$

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2 years ago

Bobby is making model train cars from wood. He needs 3/4inches of wood for each train car. If Bobby has a piece of wood that is

GaryK [48]

Answer:

Step-by-step explanation:

1 train car = 3/4 inch wood.

814 inch = ? Train cars.

All you need to do is multiply 3/4 by 814.

3 0

2 years ago

HELP! I need the answer ASAP

dalvyx [7]

Look at the pictures:
Your answer:
The degree is odd, and the leading coefficient is positive.

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3 years ago