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Monica [59]
2 years ago
14

If DA = 6 and MD = 4, what is the length of DK?

Mathematics
1 answer:
Leto [7]2 years ago
3 0

Answer:

DK = 9

Step-by-step explanation:

In triangle AMD,

h² = p² + b²

or, h² = 6² + 4²

or, h²= 36 + 16

so, h² = 52

so, AM² = 52

Take x as reference angle,

cos²x = 16/52

Now,

In triangle, AMK,

Taking x as reference angle,

cos²x = b²/h²

cos²x = AM²/MK²

or, cos²x = 52/MK²

Now,

cos²x = 16/52 = 52/MK²

or,

16/52 = 52/MK²

or, 16MK² = 2704

or, MK² = 2704/16

or, MK² = 169

so, MK = 13

Now,

DK = MK - MD

or, DK = 13 - 4

so, DK = 9

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2 years ago
What is the answer to the variable x in the multi-step problem 8x-6=2x-6+6x
nasty-shy [4]

Answer:

All real numbers are solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

8x−6=2x−6+6x

Step 1: Simplify both sides of the equation.

8x−6=2x−6+6x

8x+−6=2x+−6+6x

8x−6=(2x+6x)+(−6)(Combine Like Terms)

8x−6=8x+−6

8x−6=8x−6

Step 2: Subtract 8x from both sides.

8x−6−8x=8x−6−8x

−6=−6

Step 3: Add 6 to both sides.

−6+6=−6+6

0=0

5 0
3 years ago
Hey can someone help me with this?? Im very confused and need this explained to me! Thank you so much!!
Over [174]

Answer:

( C ) ΔMLN ≅ΔTSR

Step-by-step explanation:

Okay I got you!

So if the triangle <u>str</u> was flipped and rotated the other way then you will see that they are similar. They are asking what other "pairs" could you do to make it equivalent. Since M = T then you got your first pair. Next you go to N and when you look at the shape you'll see it will be S. N=S. And the last one would be L=R. I hope I was helpful enough! uwu Try to draw them out it will be helpful!!

8 0
3 years ago
I really need help with this question, pls help!!
Marrrta [24]

Answer:

Step-by-step explanation:

Here the average rate of change would be

                  f(6) - f(1)      162 - (-8)

a. r. of c. =  ----------- = ------------------ = 154/5 = 308/10 = 30.8 or 30 8/10

                      6-1                  5                     or  30 4/5

6 0
3 years ago
If a thermometer indicates 40 degrees Celsius, what's the temperature in degrees Fahrenheit? A. 22°F B. 72°F C. 54°F D. 104°F
Elena L [17]
F = 9/5C + 32

F = 9/5(40) + 32
F = 72 + 32
F = 105

40°C is ~105°F,  and the closest would be D.
5 0
3 years ago
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