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3 years ago

Given: AD || BC and AD ≅ BC Prove: AB || CD

Mathematics

1 answer:

Svet_ta [14]3 years ago

3 0

Answer:

Statement 1: it is a parallelogram

Reason 1: if one pair of sides of a quadrilateral are parallel and congruent sides, then it is a parallelogram.

Statement 2: AB is parallel to CD

Reason 2: in a parallelogram opposite sides are parallel.

QED

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Describe the position of the function below relative to the graph of the indicated basic function.

matrenka [14]

From the given the option moved left 1 unit; reflected across the x axis is the correct.

what is function?

A function from a set X to a set Y in mathematics assigns each element of X exactly one element of Y. The set X is known as the function's domain, and the set Y is known as the function's codomain.

We have to describe the position of the function $f(x) = -2^x^+^1$ relative to the basic function $2^x$ .

Let the parent function is $2^x$ .

After shifting one unit right it becomes, $2^x^+^1$ .

After reflection in x axis it becomes, $-2^x^+^1$ .

Hence, from the given the option moved left 1 unit; reflected across the x axis is the correct.

To know more about function, click on the link

brainly.com/question/25638609

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7 0

1 year ago

A bin contains 25 light bulbs, 5 of which are in good condition and will function for at least 30 days, 10 of which are partiall

Ira Lisetskai [31]

Answer:

The probability that it will still be working after one week is $\frac{1}{5}$

Step-by-step explanation:

Given :

Total number of bulbs = 25

Number of bulbs which are good condition and will function for at least 30 days = 5

Number of bulbs which are partially defective and will fail in their second day of use = 10

Number of bulbs which are totally defective and will not light up = 10

To find : What is the probability that it will still be working after one week?

Solution :

First condition is a randomly chosen bulb initially lights,

i.e. Either it is in good condition and partially defective.

Second condition is it will still be working after one week,

i.e. Bulbs which are good condition and will function for at least 30 days

So, favorable outcome is 5

The probability that it will still be working after one week is given by,

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}$

$\text{Probability}=\frac{5}{25}$

$\text{Probability}=\frac{1}{5}$

5 0

3 years ago

Three girls search for geodes in the desert. corinne collected 11 1/8 pounds, ellen collected 4 5/8 pounds, and leonda collected

jeyben [28]

9 3/4. Is the answer

4 0

3 years ago

I really am confused on how to write a proof.

kvasek [131]

Since ABCD is a parallelogram, the opposite sides will be parallel and equal,

$\begin{gathered} AB=CD \\ BC=AD \end{gathered}$

Consider that AC acts as a transversal to the parallel lines AB and CD, so we can write,

$\begin{gathered} \angle CAD=\angle ACB\text{ (Alternate Interior Angles)} \\ BC=AD\text{ (Opposite sides of parallelogram)} \\ \angle ADB=\angle CBD\text{ (Alternate Interior Angles)} \end{gathered}$

So by the ASA criteria, the triangle AED is congruent to the triangle CEB,

Then the corresponding parts of the triangles will be equal,

$\begin{gathered} AE=CE \\ BE=DE \end{gathered}$

Hence Proved.

8 0

1 year ago

PLEASE HELP HELP PLEASE <br> Photos attached hon -

xenn [34]

Answer:

Picture #1: True

Picture #2:

12y - 6 - 4y = 14

8y - 6 = 14

8y = 20

y = 20/8= 5/2

Picture #3

-3y-10=5y+14

-8y - 10 = 14

-8y = 24

y = -3

Picture #4

.50x. + 4.50 = 31.50

.50x = 27.00

x = 54

Picture #5

15x - 24 = 15x - 24

answer is b

3 0

3 years ago