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
Amiraneli [1.4K]
3 years ago
13

HEY YA'LL 30 PTS FOR 1 PROBLEM! Given: m∠EYL=1/3 the measure of arc EHL Find: m∠EYL.

Mathematics
1 answer:
GarryVolchara [31]3 years ago
5 0

Answer:

45

Step-by-step explanation:

Two tangents drawn to a circle from an outside point form arcs and an angle, and this formula shows the relation between the angle and the two arcs.

m<EYL = (1/2)(m(arc)EVL - m(arc)EHL)      Eq. 1

The sum of the angle measures of the two arcs is the angle measure of the entire circle, 360 deg.

m(arc)EVL + m(arc)EHL = 360

m(arc)EVL = 360 - m(arc)EHL      Eq. 2

We are given this:

m<EYL = (1/3)m(arc)EHL       Eq. 3

Substitute equations 2 and 3 into equation 1.

(1/3)m(arc)EHL = (1/2)[(360 - m(arc)EHL) - m(arc)EHL]

Now we have a single unknown, m(arc)EHL, so we solve for it.

2m(arc)EHL = 3[360 - m(arc)EHL - m(arc)EHL]

2m(arc)EHL = 1080 - 6m(arc)EHL

8m(arc)EHL = 1080

m(arc)EHL = 135

Substitute the arc measure just found in Equation 3.

m<EYL = (1/3)m(arc)EHL

m<EYL = (1/3)(135)

m<EYL = 45

You might be interested in
Directions: Follow the instructions for the following inequalities. 1. 4&lt;7 Multiply both sides by 7 , then by 6, then by 3, t
worty [1.4K]

In the given question, we have to perform this experiment and test if the inequality is true or not.

Adding the same value to both sides of the inequality will not change the inequality sign

<h3>Inequality</h3>

data;

  • 4 < 7
  • 11 > - 2
  • -4 < - 2
  • -8 < 8

In the first case, we would do follow the process

6 * 7 * 4 < 7 * 7 * 6\\168 < 294

In the second case;

11 > - 2\\\\5 + 11 > -2 + 5\\3 + 16 > 3 + 3\\4+ 19 > 6 + 4\\23 > 10

In all the scenarios, the operations did not affect the inequality sign because we are doing it equally to all side and at the end of the day nullifies each other.

Learn more on inequality here;

brainly.com/question/24372553

#SPJ1

4 0
2 years ago
Substitution and elimination
nlexa [21]
Whats The Question ????
3 0
3 years ago
10x+20=7x-8<br><br> Solve for x.
Kazeer [188]

Step-by-step explanation:

Isolate the variable

10x - 7x = -20 - 8

3x = -28

x = -9.333333333333

5 0
3 years ago
Determine the probability of a negative result for a batch of size 10 if the positivity rate
Vlad1618 [11]

The probability of a negative result for a batch will be "0.3487".

Given values are:

Positivity rate,

  • p = 10% or, 0.1

Batch size,

  • n = 10

Now,

The probability of negative result will be:

→ P (batch \ negative) = (1-p)^n

By substituting the values, we get

→                               =(1-0.1)^{10}

→                               = (0.9)^{10}

→                               = 0.3487

Thus the answer above is right.

Learn more about the probability here:

brainly.com/question/17927863

8 0
2 years ago
*25 points!*
mariarad [96]
Pick 2 pairs of equations t<span>hen use addition and subtraction to eliminate </span>the same variable<span> from both pairs of equations then it is left with 2 variables 
</span>Pick two pairs
<span><span>4x - 3y + z = - 10</span><span>2x + y + 3z = 0
</span></span>eliminate the same variable from each system
<span><span>4x - 3y + z = - 10</span> 
<span>2x + y + 3z = 0</span> 

<span>4x - 3y + z = - 10</span> 
<span>-4x - 2y - 6z = 0</span> 

<span>-5y - 5z = - 10</span> 

<span>2x + y + 3z = 0</span> 
<span>- x + 2y - 5z = 17</span> 

<span>2x + y + 3z = 0</span> 
<span>-2x + 4y - 10z = 34</span> 

<span>5y - 7z = 34
</span></span>Solve the system of the two new equations:
<span><span>-5y - 5z = - 10</span> 
<span>5y - 7z = 34</span> 

<span>-12z = 24</span> 
which is , <span>z = - 2</span> 

<span>-5y - 5(- 2) = - 10</span> 
<span>-5y = - 20</span> 
wich is , <span>y = 4
</span></span>substitute into one of the original equations
<span>- x + 2y - 5z = 17</span> 
<span>- x + 2(4) - 5(- 2) = 17</span> 
<span>- x + 18 = 17</span> 
<span>- x = - 1</span> 
<span>x = 1</span> 
<span>which is , </span><span>(x, y, z) = (1, 4, - 2)</span><span> 
</span>Does 2(1) + 4 + 3(- 2) = 0<span> ? Yes</span><span>

</span>
7 0
3 years ago
Other questions:
  • The width of a computer monitor is 1.25 times its height. Find the height of the computer monitor when the height is x and the w
    8·1 answer
  • Question 7 (1 point)
    11·1 answer
  • Can anyone show me the steps and answer?
    13·1 answer
  • Solve for : x<br> 6x+34+ 8x+14<br> my last one please helpp
    5·2 answers
  • A store is mixing up two types of nuts, peanuts and cashews into a 50 lb barrel. peanuts sell for $4 a pound and cashews sell fo
    8·1 answer
  • Help me quick i need the answer!!!
    14·2 answers
  • Please, PLEASE help me! It’s due today! Please answer it properly! I’ll give Brainliest if the answer is correct, thank you In a
    5·1 answer
  • PLS HELP I WILL GIVE BRAINLIEST 1- If you are driving at a constant speed of 55 miles per hour, give an estimate of how many mil
    14·1 answer
  • Johnny has 2 apples and Daniel has 5 apples. How many apples do they have combined?​
    5·2 answers
  • A polynomial function g(x) with integer coefficients has a leading coefficient of 1 and a constant term of
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!