All categories

3 years ago

What is the value of x?A.) -9B.) -10C.) 10D.) -12

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

6 0

Answer:

A.) -9

Step-by-step explanation:

it is observed that triangles ABL and KML are similar triangles

hence the following ratios are valid:

LA / LK = LB/LM = AB/KM

we can see that LA/LK = LB/LM = 1/2

hence the above ratio becomes

1/2 = AB/KM (rearranging)

KM = 2AB

We are given that KM = (x + 21) and AB = (x + 15)

hence

KM = 2AB

(x + 21) = 2 (x + 15)

x + 21 = 2x + 30

x - 2x = 30 - 21

-x = 9

x = -9

You might be interested in

What is 251,031 rounded to the nearest thousand

Sloan [31]

The answer is 251,000

7 0

3 years ago

Read 2 more answers

Graph the line y-3x= 3

Mnenie [13.5K]

(-1, 0) (0, 3)
these are the coordinates for the graph

7 0

3 years ago

Find the equation of the line shown.

kirza4 [7]

Answer:

see below

Step-by-step explanation:

From the graph the slope is -1 and the y-intercept is 9. Therefore we can use slope-intercept form (y = mx + b) which will be y = -x + 9.

7 0

3 years ago

I will send you a pic of the question... <3

RSB [31]

Answer:

kk send the pictures

Step-by-step explanation:

kkkkk

6 0

3 years ago

Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Elden [556K]

Answer:

( 6(x)² + 12(x) - 90 ) ft³

Explanation:

deep end water: 2(x)² + 12(x) + 10

shallow end water: 4(x)² - 100

addition problem: 2(x)² + 12(x) + 10 + 4(x)² - 100

total volume of water:

2(x)² + 12(x) + 10 + 4(x)² - 100

2(x)² + 4(x)² + 12(x) + 10 - 100

6(x)² + 12(x) - 90

7 0

2 years ago

Read 2 more answers

What is the value of x?A.) -9B.) -10C.) 10D.) -12​

What is the value of x?A.) -9B.) -10C.) 10D.) -12