All categories

3 years ago

CDA=XYZ

Mathematics

2 answers:

Anarel [89]3 years ago

8 0

The triangles are ACD and XYZ

Congruent segments means that they have the same length.

Then CD = XY, AC = ZX and AD = ZY

This is the option B. from the list.

Answer :<span>B.CD=XY,DA=YZ,AC=ZX</span>

viva [34]3 years ago

3 0

Answer:

Option B is correct.

Step-by-step explanation:

Given: $CDA \cong XYZ$

Since, the given two triangles are congruent.

By congruence statement:

If three sides in one triangle is congruent to three sides of second triangle then these triangles are congruent.

then;

by congruence statement:

$CD \cong XY$

$DA \cong YZ$

$AC \cong ZX$

You might be interested in

The gradiant y=2x³-5x+1 at point (2,7)

olga2289 [7]

Given:

The equation of the curve is:

$y=2x^3-5x+1$

To find:

The gradient (slope) of the given curve at point (2,7).

Solution:

We have,

$y=2x^3-5x+1$

Differentiate the given equation with respect to x.

$y=2(3x^2)-5(1)+(0)$

$y'=6x^2-5$

Now we need to find the value of this derivative at (2,7).

$y'_{(2,7)}=6(2)^2-5$

$y'_{(2,7)}=6(4)-5$

$y'_{(2,7)}=24-5$

$y'_{(2,7)}=19$

Therefore, the gradient (slope) of the given curve at point (2,7) is 19.

8 0

3 years ago

I need help with these 2 questions my dudes. I have tried solving them, but I don't know what I'm doing.

Trava [24]

Answer: 3

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

Question 7 E Worth 5 points)

Zolol [24]

Answer:

45!

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Hhhheeeellllppppp asap

inna [77]

Answer:

Simplify the expression.

Exact Form:

$\frac{1}{3}$

Decimal Form

0.3

Hope it's help.

5 0

3 years ago

Read 2 more answers

According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose t

nalin [4]

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that $p = 0.2$

Suppose that sixteen adults in the United States are selected randomly.

This means that $n = 16$

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281$

$P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126$

$P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111$

$P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981$

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

4 0

3 years ago