What is the measure of the angle DBA in the diagram below(exterior angle)

Bad White [126]

Answer:

Part a) $\frac{1}{200}$

Part b) $\frac{1}{450}$

Step-by-step explanation:

we know that

A reciprocal of a rational number $\frac{p}{q}$ is obtained by changing the numerator and denominator, so the numerator becomes the denominator and the denominator becomes the numerator obtaining $\frac{q}{p}$

Part a) we have

200

we know that

the given number can be expressed as $\frac{200}{1}$

so

changing the numerator and denominator

The reciprocal is equal to $\frac{1}{200}$

Part b) we have

450

we know that

the given number can be expressed as $\frac{450}{1}$

so

changing the numerator and denominator

The reciprocal is equal to $\frac{1}{450}$

3 0

3 years ago

About 1313% of the population of a large country is hopelessly romantichopelessly romantic. If two people are randomly selecte

aleksandr82 [10.1K]

Answer:

Probability both are hopelessly romantic = 0.0169

Probability at least one is hopelessly romantic = 0.2431

Step-by-step explanation:

We are given that about 1313% of the population of a large country is hopelessly romantic.

Also, given two people are randomly selected.

Firstly, Let Probability that the population of a large country is hopelessly romantic = P(R) = 0.13

(a) Probability both are hopelessly romantic is given by = Probability that first person is hopelessly romantic $\times$ Probability that second person is hopelessly romantic

= $P(R) \times P(R)$

= 0.13 $\times$ 0.13 = 0.0169

(b) Now, Probability that the population of a large country is not hopelessly romantic = P(R') = 1 - P(R) = 1 - 0.13 = 0.87.

So, Probability at least one is hopelessly romantic is given by = 1 - Probability that none of them is hopelessly romantic

= $1 - (P(R') \times P(R'))$

= 1 - (0.87 $\times$ 0.87)

= 1 - 0.7569 = 0.2431

5 0

3 years ago

Susan wants to compete in a 3.75-mile race.She wants to finish the race in 25.5 minutes. What pace does Susan need to keep per m

ira [324]

25,5 minutes=25,5/60 hours=0,425 hours

3,75/0,425 miles/hour =8,8235≈8,82 miles/hour

3 0

3 years ago

32) Find the value of 5x° + 2x-1 when x = 4.

SashulF [63]

Answer:

5x4°x7

Step-by-step explanation:

5x°+2x-1 when x =4

5x4°+2x4-1

5x4°+8-1

=5x4°x7

5 0

3 years ago

Scott says, "If you add two different square numbers, you will always get an even number."

mina [271]

Answer:

Brainliest is appreciated

Step-by-step explanation:

the square of 3 is 9 and the square of 2 is 4 so

9 + 4 = 13 which is not an even number

6 0

3 years ago