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3 years ago

7

You are given two triangles and the information that the three pairs of corresponding angles are congruent. What other informati

on would guarantee that the triangles are congruent?

1 answer:

ladessa [460]3 years ago

5 0

Congruent pair of corresponding included sides

You might be interested in

Help me please! which bisects the chord?

8_murik_8 [283]

Answer:

B. 3

Step-by-step explanation:

Since you are given that chord AB's length is 8 and is bisected by segment XC, that means segment BC's length is 4 and ∠XCB is a right angle. From there, we use Pythagorean Theorem to solve for length XC:

4² + b² = 5² (Or remember 3-4-5 makes a Pythagorean triple)

c = √(5²-4²)

c = 3

6 0

3 years ago

There were 100 pizzas sold at Romeo's Pizzeria on Tuesday. A large pizza costs $16 and a small pizza costs $11. If $1,550 worth

Blizzard [7]

Answer:

10 small pizzas sold

Step-by-step explanation:

Let number of large pizzas be l and number of small be s.

<u>Then we have equations:</u>

l + s = 100
16l + 11s = 1550

<u>From the first equation, we get l = 100 - s and substitute in the second equation:</u>

16(100 - s) + 11s = 1550
1600 - 16s + 11s = 1550
5s = 1600 - 1550
5s = 50
s = 10

Number of small pizzas is 10

7 0

3 years ago

Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviat

drek231 [11]

Answer:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 0*0.031 +1*0.156+ 2*0.313+3*0.313+ 4*0.156+ 5*0.031 = 2.5$

We can find the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 0^2*0.031 +1^2*0.156+ 2^2*0.313+3^2*0.313+ 4^2*0.156+ 5^2*0.031 =7.496$

And we can calculate the variance with this formula:

$Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246$

And the deviation is:

$Sd(X) = \sqrt{1.246}= 1.116$

Step-by-step explanation:

For this case we have the following probability distribution given:

X 0 1 2 3 4 5

P(X) 0.031 0.156 0.313 0.313 0.156 0.031

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).

We can verify that:

$\sum_{i=1}^n P(X_i) = 1$

And $P(X_i) \geq 0, \forall x_i$

So then we have a probability distribution

We can calculate the expected value with the following formula:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 0*0.031 +1*0.156+ 2*0.313+3*0.313+ 4*0.156+ 5*0.031 = 2.5$

We can find the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 0^2*0.031 +1^2*0.156+ 2^2*0.313+3^2*0.313+ 4^2*0.156+ 5^2*0.031 =7.496$

And we can calculate the variance with this formula:

$Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246$

And the deviation is:

$Sd(X) = \sqrt{1.246}= 1.116$

6 0

3 years ago

Jason wakes up for school at 5:30 in the morning. If school starts at 7:00 am, how long in minutes does he have from the time wh

Naddika [18.5K]

Answer:

90 minutes

Step-by-step explanation:

an hour is 60 minutes+ another 30 minutes= 90

3 0

3 years ago

What scale factor do you use to make<br><br> A 5mm object 100mm ?

Flauer [41]

Answer:

Utiliza una cifra que pueda ser resultado de dividir 100:5 y eso a su vez nos dará el valor que debe aumentar en la escala

7 0

2 years ago