All categories

3 years ago

Given: AB ≅ CD and AD ≅ BC

Mathematics

2 answers:

tester [92]3 years ago

8 0

Answer:

3rd answer

Step-by-step explanation:

enot [183]3 years ago

7 0

Answer:

SSS congruency theorem ⇒ 3rd answer

Step-by-step explanation:

* Lets revise the cases of congruent

- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and

including angle in the 2nd Δ

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ

≅ 2 angles and the side whose joining them in the 2nd Δ

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles

and one side in the 2ndΔ

- HL ⇒ hypotenuse leg of the first right angle triangle ≅ hypotenuse

leg of the 2nd right angle Δ

* Lets complete the missing

- Given: AB ≅ CD and AD ≅ BC

- Prove: ABCD is a parallelogram

* Statements Reasons

1. AB ≅ CD ; AD ≅ BC given

2. AC ≅ AC reflexive property

3. △ ADC ≅ △ CBA <u>SSS congruency theorem</u>

- The three sides in Δ ADC equal the three sides in ΔCBA,

then the two triangles are congruent by SSS theorem

∴ The missing reason in step 3 is SSS congruency theorem

You might be interested in

What is a discrete function?

IgorLugansk [536]

Answer:

A discrete function is a function with distinct and separate values. This means that the values of the functions are not connected with each other (this will be shown as a bunch of points that are not connected together).

4 0

3 years ago

A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were de

olga2289 [7]

Answer:

Se=1.2

Step-by-step explanation:

The standard error is the standard deviation of a sample population. "It measures the accuracy with which a sample represents a population".

The central limit theorem (CLT) states "that the distribution of sample means approximates a normal distribution, as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population distribution shape"

The sample mean is defined as:

$\bar X =\frac{\sum_{i=1}^n x_i}{n}$

And the distribution for the sample mean is given by:

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

Let X denotes the random variable that measures the particular characteristic of interest. Let, X1, X2, …, Xn be the values of the random variable for the n units of the sample.

As the sample size is large,(>30) it can be assumed that the distribution is normal. The standard error of the sample mean X bar is given by:

$Se=\frac{\sigma}{\sqrt{n}}$

If we replace the values given we have:

$Se=\frac{12}{\sqrt{100}}=1.2$

So then the distribution for the sample mean $\bar X$ is:

$\bar X \sim N(\mu=80,Se=1.2)$

5 0

3 years ago

PLEASE HELP ITS OVERDUE PLEASE I NEED HELP!!

IgorLugansk [536]

Answer:

First question: Choice A

second question:Choice D

Third question: Choice c

Fourth question: Choise b

5th Question: choice b

5 0

3 years ago

Lisa decides to bake a cake if she uses 3/4 cups of flour to make the first and cake and 1/2 cup of flour for the second cake ho

solmaris [256]

1 1/4 cups of flour

Explanation:
3/4 + 1/2
LCD- 4
Make an equivalent fraction to 1/2 that has the denominator 4:
1/2 -> 2/4

3/4 + 2/4 = 1 1/4

Have a nice day, hope this helps!

7 0

3 years ago

Compute the permutations and combinations. From a committee consisting of 5 men and 6 women, a sub-committee is formed consistin

kolbaska11 [484]

Answer:

360

Step-by-step explanation:

Multiply them all

3 0

4 years ago