All categories

2 years ago

Look at the image for any information and the question thank you

Mathematics

1 answer:

mojhsa [17]2 years ago

4 0

The measure of angle CKB (m ∠CKB) is 144°

<h3>Calculating angles </h3>

From the question, we are to determine the measure of angle CKB (m ∠CKB)

First, we will determine the value of x

From the given information,

m ∠KAE = 3x

m ∠KCD = 2x

In the diagram,

m ∠KCD = m ∠AKE (Alternate angles)

∴ m ∠AKE = 2x

Also,

m ∠KAE + m ∠AKE + m ∠AEK = 180° (Sum of angles in a triangle)

3x + 2x + 90° = 180°

5x = 180° - 90°

5x = 90°

x = 90°/5

x = 18°

But,

m ∠CKB = 180° - m ∠AKE (Sum of angles on a line segment)

m ∠CKB = 180° - 2x

m ∠CKB = 180° - 2(18°)

m ∠CKB = 180° - 36°

m ∠CKB = 144°

Hence, the measure of angle CKB (m ∠CKB) is 144°

Learn more on Calculating measure of angles here: brainly.com/question/18359073

#SPJ1

You might be interested in

A medical website states that 40% of U.S. adults are registered organ donors. A researcher believes that the proportion is too h

alexgriva [62]

Answer:

Pvalue = 0.193

There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%

Step-by-step explanation:

H0 : p = 0.4

H1 : p < 0.4

Test statistic :

z=pˆ−p/√p(1−p)/n

pˆ = 74 / 200 = 0.37

Z = (0.37 - 0.40) / √(0.40(1 - 0.40) / 200

Z = - 0.03 / √0.0012

Z = - 0.03 / 0.0346410

Z = - 0.866

Test statistic = -0.866

The Pvalue :

P(Z < -0.866) = 0.193

α - level = 0.05

If Pvalue < α ; Reject H0

Since Pvalue > α ; There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%

3 0

2 years ago

To rent a certain meeting room, a college charges a reservation fee of $15 and an additional fee of $6 per hour. The chemistry c

Dafna1 [17]

Answer:

To spend at most $93, they need to rent the room less than or equal 13 hours.

Step-by-step explanation:

The complete question is

To rent a certain meeting room, a college charges a reservation fee of $15 and an additional fee of $6 per hour. The chemistry club wants to spend at most $93 on renting a room. What are the possible numbers of hours the chemistry club could rent the meeting room? Use t for the number of hours. Write your answer as an inequality solved for t,

Let

t ----> the number of hours

we know that

I this problem the word "at most" means "less than or equal to"

The number of hours rented multiplied by the cost per hour, plus the reservation fee, must be less than or equal to $93

The inequality that represent this situation is

$6t+15\leq 93$