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Anvisha [2.4K]
2 years 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]2 years ago
5 0

Answer:

k=10

Step-by-step explanation:

MrRissso [65]2 years 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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The linear function that models the population of rainbow smelt is y1 = −19.76x + 227, where
Ymorist [56]

Answer:

The linear function that models the population of bloater fish is y2 =  

✔ –92.57x + 1,052

.

The linear equation that determines when the two populations were equal is  

✔ –19.76x + 227 = –92.57x + 1052

.

The solution is x =  

✔ 11.33

years.

Step-by-step explanation:

5 0
2 years ago
Question 9 (3 points)
Mila [183]

From the dot plot, we have that 90.91% of the students have 5 or more vowels in their first and last  names.

---------------------

The dot plot states that:

  • 2 students have 4 vowels in their first and last name.
  • 3 students have 5 vowels.
  • 8 students have 6 vowels.
  • 9 students have 7 vowels.

Then:

  • Total of 2 + 3 + 8 + 9 = 22 students.
  • 3 + 8 + 9 = 20 have or more vowels.

p = \frac{20}{22} \times 100\% = 90.91\%

90.91% of the students have 5 or more vowels in their first and last  names.

A similar problem is given at brainly.com/question/14354536

5 0
2 years ago
To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by
Anastaziya [24]

We are given equation g = 748u, where g is the total number of gallons of water used and u is the number of units.

We can see that the number of units of water being used by customers.

The number of units of water doesn't depend on the total number of gallons of water used.  

Therefore, the number of units u is an independent variable.

The value of the total number of gallons is totally depends on the number of units used.

Therefore,  the total number of gallons of water used g is a dependent variable.

So, we can conclude following statements:

1) g is the dependent variable.

2) u is the independent variable.

6 0
2 years ago
Read 2 more answers
Use the graph to write an explicit function to represent the data and determine how much money Amy earned in week 5.
zalisa [80]

Answer:

3rd option

f(n)=5(3)^{n-1}

f(5)=405

Step-by-step explanation:

So we are given the following points:

(1,5)

(2,15)

(3,45)

(4,135)

This is a geometric sequence because there is a common ratio, 3. That is you can keep multiply 3 to a previous y-coordinate to get the next y-coordinate.

The formula for a geometric sequence is f(n)=a_1 \cdot r^{n-1}

where a_1 is the first term and r is the common ration.

So we have

f(n)=5 \cdot (3)^{n-1}.

If you want to know the fifth term, just plug in 5:

f(5)=5 \cdot (3)^{5-1}

Simplifying:

f(5)=5 \cdot 3^4

f(5)=5 \cdot 81

f(5)=405

3 0
2 years ago
Read 2 more answers
Alicia, Brandon, and Charlene wanted to solve the proportion x/4.24 = 6.82/2.2 which of the students used a correct method?
DIA [1.3K]
X/4.24= 6.82/2.2
x= 4.24*6.82/2.2
x= 1.36

Explanation:
If x/4.24 = 6.82/2.2
then 4.24*6.82= 2.2x 

3 0
2 years ago
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