Ask question

Ask question

All categories

2 years ago

13

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

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 (<em>Alternate angles</em>)

∴ m ∠AKE = 2x

Also,

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

3x + 2x + 90° = 180°

5x = 180° - 90°

5x = 90°

x = 90°/5

x = 18°

But,

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

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

#8: Linda is saving for retirement. She invest $12,000 in a retirement fund

mestny [16]

Answer:

12000(1+.04)^x

Step-by-step explanation:

12000(1+.04)^x

4 0

3 years ago

I don't know please help??

VikaD [51]

2%
take the absolute value of your (experimental-accepted then divide by the accepted) so (20-25)/25=.2
then multiply that number by 100 to get the percent, .2*100=2

8 0

3 years ago

Please help, thanks.

Liula [17]

Answer:

$\frac{ - 5}{54} + \frac{5 \times 6}{9 \times 6} = \frac{ - 5 + 30}{54} = \frac{25}{54}$

$\frac{15}{4} \div \frac{3}{8} = \frac{15}{4} \times \frac{8}{3} = 10$

$10 \times \frac{25}{54} = \frac{250}{54} = 4 \times \frac{17}{27}$

b )

$4 \times \frac{17}{27} = \frac{125}{27} =$

cube root =

$\frac{5}{3}$

c ) square root

$\frac{125}{27} = \frac{ \sqrt{25 \times 5} }{ \sqrt{3 \times 9} } = \frac{5 \sqrt{5} }{3 \sqrt{3} }$

3 0

3 years ago

How many different pairs of marker can be formed if you have one yellow,one red ,one green ,one blue,and one purple marker?

Marianna [84]

4 different pairs of marker combinations can be formed

4 0

3 years ago

What are the next 3 numbers in this pattern of integers -2, -1, -1, 0, -1, 1, -2

sashaice [31]

Answer:

The next 3 numbers to the given pattern of integers is -2,-1,-1,0,-1,1,-2 are 3,-5,8

Step-by-step explanation:

Given pattern of integers is -2,-1,-1,0,-1,1,-2

To find their next 3 numbers of the given pattern :

Let $a_{1}=-2$

$a_{2}=-1$

$a_{3}=a_{1}-a_{2}$

$=-2-(-1)$

$=-2+1$

Therefore $a_{3}=-1$

$a_{4}=a_{2}-a_{3}$

$=-1-(-1)$

$=-1+1$

Therefore $a_{4}=0$

Similarly we have $a_{5}=-1$ , $a_{6}=1$ , $a_{7}=-2$

The general form to the given pattern is

$a_{n}=a_{n-2}+a_{n-1}$ for $n={\{1,2,3,4,5,6,7,8,9,10}\}$

Therefore to find the $a_{8},a_{9},a_{10}$

Put n=8 in $a_{n}=a_{n-2}-a_{n-1}$

$a_{8}=a_{8-2}-a_{8-1}$

$=a_{6}-a_{7}$

$=1-(-2)$

$a_{8}=3$

Put n=9 in $a_{n}=a_{n-2}-a_{n-1}$

$a_{9}=a_{9-2}-a_{9-1}$

$=a_{7}-a_{8}$

$=-2-(3)$

$a_{9}=-5$

Put n=10 in $a_{n}=a_{n-2}-a_{n-1}$

$a_{10}=a_{10-2}-a_{10-1}$

$=a_{8}-a_{9}$

$=3-(-5)$

$a_{10}=8$

Therefore the next 3 numbers are 3,-5,8

4 0

3 years ago