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Anvisha [2.4K]
1 year ago
15

Triangle Z Y X is shown with its exterior angles. Line Z X extends through point N. Line X Y extends to point M. Line Y Z extend

s to point L. Angle Y Z X is (4 k + 5) degrees. Angle Y X Z is (6 k + 10) degrees. Angle M Y Z is 115 degrees. What is the value of k?
Mathematics
2 answers:
Step2247 [10]1 year ago
5 0

Answer:

k=10

Step-by-step explanation:

MrRissso [65]1 year ago
3 0

Answer:

k=10

Step-by-step explanation:

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

In this problem

m∠YZX+m∠YXZ=m∠MYZ

substitute the given values

(4k+5)\°+(6k+10)\°=115\°

Solve for k

10k+15=115\\10k=100\\k=10

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Nana76 [90]
Substitute 8 for x in the function.
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1 year ago
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A and b are natural numbers. The diameter of cell a is 2.3 , and the diameter of cell b is 2.3 .
Pani-rosa [81]

After clarification we see the respective diameters are

A = 2.3 \times 10^{-a}

B = 2.3 \times 10^{-b}

We're asked about the ratio

A:B =  2.3 \times 10^{-a} :  2.3 \times 10^{-b} = 10^{-a} : 10^{-b} = 10^b : 10^a = 10^{b-a} : 1

Now we can go through the choices.

A. If a = 4 and b = 6, then cell a is 100 times greater than cell b.

A:B=10^{6-4}:1 = 100:1

It would be more proper to say the diameter of cell A is 100 times the diameter of cell B, but yes, this is TRUE.

B. If a = 4 and b = 6, then cell b is 100 times greater than cell a.

FALSE. 10 to the minus 4 is 100 times bigger than 10 to the minus 6, so a is bigger.

C. If a = 4 and b = 6, then cell a is 2 times greater than cell b.

FALSE. We already calculated its 100 times bigger.

D. If a = 4 and b = 6, then cell b is 2 times greater than cell a.

FALSE.


8 0
2 years ago
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A pendulum is swinging next to a wall. The distance from the bob of the swinging pendulum to the wall varies in a periodic way t
Alekssandra [29.7K]

Answer:

  H(t) = 15 -6sin(2.5π(t -0.5))

Step-by-step explanation:

For midline M, amplitude A, period T and time t0 at which the function is decreasing from the midline, the function can be written as ...

  H(t) = M -Asin(2π/T(t -t0))

Using the given values of M=15, A=6, T=0.8 and t0 = 0.5, the equation is ...

  H(t) = 15 -6sin(2.5π(t -0.5))

3 0
2 years ago
A fox sees a rabbit 35 feet away and starts chasing it. As soon as the fox starts moving the rabbit sees it and starts running a
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The speed of the fox should be greater than the rabbit's speed in other to catch up, Hence, the speed of the fox must be 35/t + 40

The distance between the rabbit and fox, d = 35 feets

The rabbit's speed = 40 feets per second

Fox's speed = F

In other to obtain a specific speed for the fox, the time at which the fox is required to catch up with the rabbit should be given.

Let the time = t

Recall :

Speed = distance / time

Distance = speed × time

Rabbit's distance from fox after time t will be :

35 + (40 × t) = 35+40t

Fox's distance after time, t = fox speed × t = F × t

In other to catch up ; both fox and rabbit must be at the same distance ;

Rabbit's distance at time t = Fox's distance at time t

35+40t = Ft

To solve for F which is the fox's speed:

Divide both sides by t

(35+40t) / t = Ft/t

35/t + 40 = F

Hence, the fox' s speed must be : 35/t + 40

To obtain the exact speed of the fox, we must be given a specific time value.

Learn more : brainly.com/question/18112348

4 0
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At a track meet, the longest shot put throw by a boy is 25 feet and 8 inches. The longest shot put throw by a girl is 19 feet an
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Its 6 feet and 5 inches 
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2 years ago
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