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natima [27]
2 years ago
13

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 (<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

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labwork [276]

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6 0
3 years ago
Solve for y <br>a. 7 cm<br>b. 20 cm<br>c. 14 cm<br>d. 10 cm​
Rainbow [258]

Answer:

20 cm

Step-by-step explanation:

We can use ratios to solve

We know x = 7 since they are of equal length

x          x+7

----- = -------

10         y

7          7+7

----- = -------

10         y

Using cross products

7y = 14*10

7y = 140

Divide by 7

7y/7 = 140/7

y = 20

7 0
3 years ago
(a) Write an equation that could be used to answer the question above.
Margarita [4]

The linear equation that can be used to represent the situation using 9, w and 163 is 9w + 63 = 198

The solved equation to find the number of weeks is w = 15

<h3 />

<h3>What is a linear equation?</h3>

Linear equation are equation in which the highest power of the variable is equals to 1.

Suzan is saving money to buy a bike . She already have $63 and is going to save an additional $9 per week. The cost of the bike is $198.

Let

w = number of weeks

The linear equation that can be used to represent the situation using 9, w and 163 is as follows:

using the slope-intercept form,

y = mx + b

where

m = slope

b = y-intercept

Therefore,

  • 9w + 63 = 198

The solved equation to find the number of weeks is as follows:

  • 9w = 198 - 63
  • 9w = 135
  • w = 135 / 9
  • w = 15

learn more on linear equation here: brainly.com/question/26311977

6 0
2 years ago
If PQR measures 75°, what is the measure of SQR?<br><br> 22°<br> 45°<br> 53°<br> 97°
allochka39001 [22]
C is the right answer
4 0
3 years ago
Read 2 more answers
Ain.<br> 1.5 ft.<br> 0.5 it.<br><br> What is the surface area of the figure in square inches help
Aleonysh [2.5K]

<u>Answer:</u>

  • 17.5 ft.²

<u>Step-by-step explanation:</u>

  • Surface area: 2(4 x 0.5) + 2(4 x 1.5) + 2(0.5 x 1.5)
  • => 2(2) + 2(6) + 2(0.75)
  • => 4 + 12 + 1.5
  • => 17.5 ft.²

<u>Conclusion: </u>

Therefore, the surface area is 17.5 ft.².

Hoped this helped.

GeniusUser

3 0
2 years ago
Read 2 more answers
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