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
lana66690 [7]
3 years ago
7

Given: m∠EYL=72° Find: mEHL , mLVE

Mathematics
1 answer:
White raven [17]3 years ago
3 0

Answer:

Part 1) The measure of arc EHL is 108\°

Part 2) The measure of angle LVE is 54\°

Step-by-step explanation:

step 1

Let

x-----> the measure of arc EHL

y----> the measure of arc EVL

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

so

m

we have

m

substitute

72\°=\frac{1}{2}(y-x)

144\°=(y-x)

y=144\°+x ------> equation A

Remember that

x+y=360\° -----> equation B ( complete circle)

substitute equation A in equation B and solve for x

x+(144\°+x)=360\°

2x=360\°-144\°

x=216\°/2=108\°

Find the value of y

y=144\°+x

y=144\°+108\°=252\°

therefore

The measure of arc EHL is 108\°

The measure of arc EVL is 252\°

step 2

Find the measure of angle LVE

we know that

The inscribed angle measures half that of the arc comprising

Let

x-----> the measure of arc EHL

m

we have

x=108\°

substitute

m

You might be interested in
For her exercise today, Keiko plans to both run and swim. Let r be the number of laps she runs and let s be the number of laps s
DerKrebs [107]

Answer:

5r + 3s ≥ 30

Step-by-step explanation:

We know Keiko wants to do exercise at least 30 minutes a day, and she wants ideally to mix up the activities, by combining running and swimming into her schedule.

Since each lap she runs takes 5 minutes and each lap she swims takes 3 minutes, these will be the left side of the inequality:

5r + 3s

She wants to exercise at least 30 minutes a day, so...

5r + 3s ≥ 30

she could do 3 laps of running and 5 laps of swimming for example.

6 0
3 years ago
The wind blew away 24 of your muffins. That was 3/4 of them! How many are left?
forsale [732]
Set up a proportion:

3/4/24 = 1/x

Cross multiply:

3/4x = 24

Divide 3/4 to both sides or multiply by its reciprocal, 4/3:

x = 24 * 4/3

x = 96/3

x = 32

So you had a total of 32 muffins, now subtract this from the amount that blew away to find out how many you have left:

32 - 24 = 8

So you have 8 muffins left.
3 0
3 years ago
Suppose that you invest $400 in a bank account that has APR of 6% and it is compounded monthly (12 times a year)
Fed [463]
The answer would be $804.88
7 0
3 years ago
Can somebody help me with these questions?
jarptica [38.1K]

Answer:

5. (3)

6. (1)

Step-by-step explanation:

5 0
3 years ago
What are the areas of the following shapes?
mars1129 [50]
The triangle is 28 cm. You multiple 7 x 8x 1/2.

the parallelogram is 50. the formula is A=bh ( area = base x height)
3 0
3 years ago
Other questions:
  • PLEASE HELPPPP!!!!!!!!!!!!
    7·1 answer
  • Can we conclude that x - 4 is a factor of the polynomial 4x^3-20x^2+18x-12?<br> How do you know?
    7·1 answer
  • I will mark who ever gets it correct the brainiest.<br> Help Asap. See image below.
    12·1 answer
  • Please helpp pleasee!!!
    10·1 answer
  • Write the equation of the line that passes through the following points.<br> (3, 1) (1,7)
    7·1 answer
  • (a) Write the ratio 32 : 80 in its simplest form​
    15·1 answer
  • Your family spends $30 for tickets to an aquarium and $3 per hour for parking. Write an equation that gives the total cost of yo
    14·2 answers
  • Anyone know I’m having a hard time!
    14·1 answer
  • Alan wants to install security cameras in his store, which has dimensions of 30 feet by 30 feet. Each camera can view an area of
    6·1 answer
  • Please help me!! im so close to finshing
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!