All categories

2 years ago

Determine the relationship between the two triangles and whether or not they can be proven to be congruent.

Mathematics

1 answer:

diamong [38]2 years ago

8 0

Answer:

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Step-by-step explanation:

You might be interested in

What is the constant of proportionality for the relationship between the length of the arc intercepted by a 80 degree angle and

Over [174]

So the length of the arc is given by: l = r*theta, here theta is the intercepted angle in unit radian

So, 80 degrees = 80/360 * 2pi = 4/9 * pi

So l = r * (4/9 * pi), the constant ratio is 4/9 * pi

3 0

3 years ago

A supermarket sells two flavors of cereal: a fruit flavor and a chocolate flavor. In a market survey, the event that a customer

Sedaia [141]

This is a binomial distribution.
p = 0.71, q = 1 - p = 1 - 0.71 = 0.29, n = 20

P(x ≤ 19) =1 - P(x = 20) = 1- 20C20 x (0.71)^(20 - 20) x (0.29)^20 = 1 - 0.29^20 = 1 - 0 = 1

4 0

3 years ago

Patricia has a 30% discount coupon for a jewelry store. She sees a new ring that she wants to buy. After the 30% discount was ap

prisoha [69]

The answer is $59.15

3 0

3 years ago

For X a binomial random variable with n=5 and p=1/4, answer the following

mash [69]

Recall that for $X\sim\mathrm{Bin}(n,p)$ , i.e. a random variable $X$ following a binomial distribution over $n$ trials and with probability parameter $p$ ,

$\mathbb P(X=x)=f_X(x)=\begin{cases}\dbinom nx p^x(1-p)^{n-x}&\text{for }x\in\{0,1,\ldots,n\}\\\\0&\text{otherwise}\end{cases}$

So you have

$\mathbb P(X=2)=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac34\right)^{5-2}=\dfrac{135}{512}\approx0.26$

$\mathbb P(2\le X\le4)=\displaystyle\sum_{x=2}^4\mathbb P(X=x)$
$=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac14\right)^{5-2}+\dbinom52\left(\dfrac14\right)^3\left(1-\dfrac14\right)^{5-3}+\dbinom52\left(\dfrac14\right)^4\left(1-\dfrac14\right)^{5-4}$
$=\dfrac{375}{1024}\approx0.37$

The expected value of $X\sim\mathrm{Bin}(n,p)$ is simply $np$ , while the standard deviation is $\sqrt{np(1-p)}$ . In this case, they are $\dfrac54=1.25$ and $\sqrt{\dfrac{15}{16}}\approx0.97$ , respectively.

7 0

3 years ago

The first four multiples of 7 are 7, 14 21, and 28. Use this example to help you as you answer the questions below.

Pachacha [2.7K]

Answer:

For A. it would be 9, 18, 27, 36, 45, 54

For B. it would be 12, 24, 36, 48, 60, 72

For C. it would be 36

For D. it would be 3

Step-by-step explanation:

Hope this helps

6 0

2 years ago

Determine the relationship between the two triangles and whether or not they can be proven to be congruent. ​

Determine the relationship between the two triangles and whether or not they can be proven to be congruent.