1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hatshy [7]
3 years ago
6

What is the value of k?

Mathematics
1 answer:
AlladinOne [14]3 years ago
4 0

So first, you want to find that top angle Y. You can do this by subracting 115 from 180 giving you 65. Next I started searching for K. After inserting numerous numbers into the equation I found that 10 gave me the answer as shown below.

180 - 115 = 65

4(10) + 5 = 45

6(10) + 10 = 70

70 + 65 + 45 = 180

Add those together and you get 180 degrees, which is always the total number of degrees for a triangle. So your answer is 10.

Hope this helps! <3

You might be interested in
Round 789 to the nearest 10
elena-14-01-66 [18.8K]

  • Rounding 789 nearest to tens will be 790.

Step-step Explanation:

Let's know how to round any number nearest to tens (Rules):-

We know tens place in any no. from left is at second place and number right to tens place need to be changed as:-

  • If last digit is 0, then we don't have to do any rounding, because it is already to the ten.

  • We round the no. down to the nearest ten if the last digit in the no. is 1, 2, 3, or 4

  • We round the no. up to the nearest ten if the last digit in the no. is 5, 6, 7, 8, or 9.
3 0
2 years ago
Which of the following is a solution to 2cos2x − cos x − 1 = 0?
Pavel [41]

Answer:

Option A is correct.

Solution for the given equation is, x = 0^{\circ}

Step-by-step explanation:

Given that : 2\cos^2x -\cos x -1 =0

Let \cos x =y

then our equation become;

2y^2-y-1= 0           .....[1]

A quadratic equation is of the form:

ax^2+bx+c =0.....[2] where a, b and c are coefficient and the solution is given by;

x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}

Comparing equation [1] and [2] we get;

a = 2 b = -1 and c =-1

then;

y = \frac{-(-1)\pm \sqrt{(-1)^2-4(2)(-1)}}{2(2)}

Simplify:

y = \frac{ 1 \pm \sqrt{1+8}}{4}

or

y = \frac{ 1 \pm \sqrt{9}}{4}

y = \frac{ 1 \pm 3}{4}

or

y = \frac{1+3}{4} and y = \frac{1 -3}{4}

Simplify:

y = 1 and y = -\frac{1}{2}

Substitute y = cos x we have;

\cos x = 1

⇒x = 0^{\circ}

and

\cos x = -\frac{1}{2}

⇒ x = 120^{\circ} \text{and} x = 240^{\circ}

The solution set:  \{0^{\circ}, 120^{\circ} , 240^{\circ}\}

Therefore, the solution for the given equation  2\cos^2x -\cos x -1 =0 is, 0^{\circ}





8 0
3 years ago
Read 2 more answers
How do you calculate the residuals for a scatterplot?
dsp73

To find the residual I would subtract the predicted value from the measured value so for x-value 1 the residual would be 2-2.6 = -0.6

7 0
3 years ago
Read 2 more answers
Consider the equation: x^2+10x+22=13<br> Need help asap!!!! <br> this is due in a hour!
klio [65]

Answer:

(x + 5)^2 = (5 - 3)^2

Step-by-step explanation:

Given the equation;

x^2 + 10x + 22 = 13

We have;

x^2 + 10x = 13 - 22

x^2 + 10x = -9

Adding half of 10 to both sides and completing the square as usual, we have;

(x + 5)^2 = 5^2 + (-9)

(x + 5)^2 = (5 - 3)^2

7 0
3 years ago
What is 10 + 10?
xenn [34]

Answer:

20

Step-by-step explanation:

10+10=20

4 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following is a true statement about skew lines?
    8·2 answers
  • How do I solve this three variable equation
    11·2 answers
  • What are the zeros of f(x) = x2 + 2x - 80?
    11·1 answer
  • Item 18 You and your friend are standing back-to-back. Your friend runs 20 feet forward and then 15 feet right. At the same time
    14·2 answers
  • Find the mean of the data set. if necessary, round to the nearest tenth. 18 14 8 22 25 8
    15·1 answer
  • Help me pleaseeeeeeeee​
    15·1 answer
  • Plz help me due today
    5·1 answer
  • Josh's bill for lunch at a restaurant was $49.59. He left an 18% tip. What was the amount
    14·2 answers
  • PLEASE HELP ME I REALLY NEED IT
    11·1 answer
  • How do you get from 24 to a hundred
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!