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
Nastasia [14]
3 years ago
10

What is the value of k?

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
5 0

9514 1404 393

Answer:

  k = 10

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angles.

  115° = (4k +5)° +(6k +10)°

  115 = 10k +15 . . . . . . . . . . . divide by °, simplify

  100 = 10k . . . . . . . . . . . . subtract 15

  10 = k . . . . . . . . . . . . . . divide by 10

You might be interested in
WILL MARK BRAINLIEST. PLEASE HELP.<br> simplify:
Scilla [17]

Answer:

2+3\sqrt{5}

Step-by-step explanation:

Hi!

This is a lot of radicals, so it may seem tricky. Let's begin by simplifying all of the radicals that can be simplified.

We can see that \sqrt{75} can be simplified.

Taking prime factorization:

=\sqrt{5^2\cdot \:3}

which is:

=5\sqrt{3}

So an updated equation is \left(\sqrt{5}+\sqrt{3}-\sqrt{15}\right)\left(\sqrt{5}-\sqrt{3}\right)+5\sqrt{3}.

Now, we need to expand this:

First, let's expand the parenthesis:

\sqrt{5}\sqrt{5}+\sqrt{5}\left(-\sqrt{3}\right)+\sqrt{3}\sqrt{5}+\sqrt{3}\left(-\sqrt{3}\right)+\left(-\sqrt{15}\right)\sqrt{5}+\left(-\sqrt{15}\right)\left(-\sqrt{3}\right).

We can apply some of are rules:

\sqrt{5}\sqrt{5}-\sqrt{5}\sqrt{3}+\sqrt{3}\sqrt{5}-\sqrt{3}\sqrt{3}-\sqrt{15}\sqrt{5}+\sqrt{15}\sqrt{3}

And, now to simplifying!

Adding similar elements:

\sqrt{5}\sqrt{5}-\sqrt{3}\sqrt{3}-\sqrt{15}\sqrt{5}+\sqrt{15}\sqrt{3}

Simplifying and cleaning up each radical:

5-3-5\sqrt{3}+3\sqrt{5}.

Now all we have to do is add the similar elements (again.)

In doing so we reach an answer of \boxed{2+3\sqrt{5}}

Hope this helps!

- Sahkfam

3 0
3 years ago
Solve: 5x2 + 25x = 0.
hodyreva [135]
     5x² + 25x = 0
5x(x) + 5x(5) = 0
      5x(x + 5) = 0
            5          5
        x(x + 5) = 0
x = 0    or    x + 5 = 0
                       - 5  - 5
                         x = -5
3 0
3 years ago
Read 2 more answers
How do calculate surface area of a square
Lina20 [59]
The surface area of a square is determined by multiplying the length and width by each other, for example:

If a square is 10 units high and 5 units long, then the surface area would be 50 units.
3 0
3 years ago
Read 2 more answers
850<br> 1 2 3<br> 842 834 829<br> Q Zoom<br> 4 5<br> 820 817<br> y<br> A population of 850 birds decreases by roughly the same p
larisa86 [58]
What is this I need help to
3 0
3 years ago
What is the equation of the line that has a slope of 4/5 and a y-intercept of -1?
Bess [88]

Answer:

y = 4/5x -1

Step-by-step explanation:

The slope-intercept form of the equation of a line is ...

... y = mx + b . . . . . . for slope m and y-intercept b

You have m = 4/5 and b = -1. The equation of the line is found by putting these values in their places in the form above.

... y = 4/5x -1

5 0
3 years ago
Other questions:
  • Is (y - x) and -(x - y) equivalent
    6·1 answer
  • Samantha measured two of the angles in PQR and found that they had measures of 65° and 70°. Then, she measured two of the angles
    12·2 answers
  • I need to know how to do this question 3^4logx(2)
    14·1 answer
  • the cost of having photos taken includees fee and $12 for each photo.Mrs.fong buys 6 photos for a total cost of $87.what
    8·1 answer
  • Which of the following points would fall on the line produced by the point-slope form equation y - 2 = 3/2(x + 4) when graphed?
    12·1 answer
  • Determine whether the study depicts an observational study or a designed experiment. A poll is conducted in which 574 high schoo
    14·1 answer
  • Allerga counted 7.5 red cards and 15 black cards in a deck of cards. What is the ratio of red cards to black cards
    13·1 answer
  • PLS HELP ASAP ILL GIVE BRAINLKEST I PROMISE ITS DUE IN A FEW HOUR
    6·2 answers
  • The graph shows the value of a certain model of car compared with it's age. which statement is true?
    15·1 answer
  • A. A student simplifies the algebraic expressions in the left column of the
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!