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
suter [353]
3 years ago
5

Ocean waves move in parallel lines toward the shore. The figure shows the path that a windsurfer takes across several waves. For

this exercise, think of the windsurfer's wake as a line. If m∠1 = (5x + 3y)° and m∠2 = (5x + y)°, find x and y.

Mathematics
1 answer:
grandymaker [24]3 years ago
3 0
If you look at the figure, the angle marked red is equal to 70° because vertical angles are equal. So, that also means that the opposite angle 2 is also 70°. So, the first equation is:

70 = 5x + y

Next, the green angle as marked is equal to
Green angle = 180 - 70 = 110
Being vertical angles, angle 1 is then equal to 110°. So,the second equation is

110 = 5x + 3y

Subtract the two equations:

    5x + y = 70
 -  5x + 3y = 110
________________
           -3y = -40
             <em> y = -40/-3 = 13.33°</em>

Substituting y to either one of the equations,
5x + 13.33 = 70
Solving for x,
<em>x = 11.33°</em>

You might be interested in
1 Activity
Alexxx [7]

Answer: See explanation

Step-by-step explanation:

Let the price of apples be represented by a

Let the price of guyabanos be represented by g.

Since Marcel buys 5-star apples for PhP5.00 each and 3 guyabanos for PhP32.50 each. This will be:

C = 5a + 3g

where

a = PhP5.00

g = PhP32.50

c = Total cost

Therefore, an expression for the total cost of the fruits she buys will be:

C = 5a + 3g

C = 5(5.00) + 3(32.50)

The equation for the amount of change the cashier should give her if she gives the cashier PhP200.00 will be:

= 200.00 - 5(5.00) + 3(32.50)

= 200.00 - (25.00 + 97.50)

= 200.00 - 122.50

= Php77.50

7 0
3 years ago
Rearrange 2x = y/w to make w the subject​
frutty [35]
Yes i think that is the answer good boj
3 0
3 years ago
Somebody help<br> 7x - [4x-3(x-1)]=x+ 12
Georgia [21]

Answer:

Step-by-step explanation:

Simplificando

7x + -1 [4x + -3 (x + -1)] = x + 12

Reordenar los términos:

7x + -1 [4x + -3 (-1 + x)] = x + 12

7x + -1 [4x + (-1 * -3 + x * -3)] = x + 12

7x + -1 [4x + (3 + -3x)] = x + 12

Reordenar los términos:

7x + -1 [3 + 4x + -3x] = x + 12

Combinar términos semejantes: 4x + -3x = 1x

7x + -1 [3 + 1x] = x + 12

7x + [3 * -1 + 1x * -1] = x + 12

7x + [-3 + -1x] = x + 12

Reordenar los términos:

-3 + 7x + -1x = x + 12

Combinar términos semejantes: 7x + -1x = 6x

-3 + 6x = x + 12

Reordenar los términos:

-3 + 6x = 12 + x

Resolviendo

-3 + 6x = 12 + x

Resolviendo para la variable 'x'.

Mueva todos los términos que contengan x hacia la izquierda, todos los demás términos hacia la derecha.

Agrega '-1x' a cada lado de la ecuación.

-3 + 6x + -1x = 12 + x + -1x

Combinar términos semejantes: 6x + -1x = 5x

-3 + 5x = 12 + x + -1x

Combinar términos semejantes: x + -1x = 0

-3 + 5x = 12 + 0

-3 + 5x = 12

Agrega '3' a cada lado de la ecuación.

-3 + 3 + 5x = 12 + 3

Combinar términos semejantes: -3 + 3 = 0

0 + 5x = 12 + 3

5 veces = 12 + 3

Combinar términos semejantes: 12 + 3 = 15

5 veces = 15

Divida cada lado por '5'.

x = 3

Simplificando

x = 3

7 0
3 years ago
You want to estimate the number of students in your middle school school who buy school lunch. Which sample is unbiased?
Nezavi [6.7K]
A biased example: Asking students who are in line to buy lunch 

An unbiased example: Asking students who are leaving/going to lunch(<em>NOT buying </em><em>lunch</em><em />).

But in this case, the answer choices can be... confusing.
Don't panic! You're given numbers and, of course, your use of logic.

Answer choice A: 100 students grades 6-8
Answer choice B: 20-30 students any <em>one</em> grade<em></em><em>
</em>Answer choice C: 5 students
<em></em>Answer choice D: 50 students grade 8

An unbiased example would be to choose students from <em>any grade.</em> So we can eliminate choices B and D.

Now, the question wants to <em>estimate how many people at your middle school buy lunch.</em> This includes the whole entire school, and if you are going to be asking people, you aren't just going to assume that if 5 people out of 5 people you asked bought lunch, the whole school buys lunch.

So, to eliminate all bias and/or error by prediction, answer choice A, the most number of students, is your answer.

6 0
3 years ago
4. What is the measure of angle ABD in the figure below?*<br> D<br> 2x<br> A<br> B<br> с
katovenus [111]

Answer:

Measure of exterior angle ABD = 136°

Step-by-step explanation:

Given:

measure of ∠A = (2x + 2)°

measure of ∠C = (x + 4)°

measure of ∠B = x°

Find:

Measure of exterior angle ABD

Computation:

Using angles sum property

∠A + ∠B + ∠C = 180°

So,

(2x + 2) + (x + 4) + x = 180

4x + 6 = 180

4x = 176

x = 44

So,

measure of ∠B = x°

measure of ∠B = 44°

Measure of exterior angle ABD = 180 - measure of ∠B

Measure of exterior angle ABD = 180 - 44

Measure of exterior angle ABD = 136°

4 0
3 years ago
Other questions:
  • What is the value of the expression, written in standard form?
    6·2 answers
  • Plz help w/ Geometry!!! Will give Brainliest!!!
    9·1 answer
  • Suppose that y varies directly with x and y= 5 when x= 6. What is y when x= 5?
    5·1 answer
  • A radio station has a broadcast area in the shape of a circle with equation x2+ y2=5,625, where the constant represents square m
    12·1 answer
  • Your salary is $25,000 you just received a 2.5% pay increase for the year. What is your new salary?
    6·1 answer
  • John has a bag of marbles that contains 12 red marble,20 green marbles,and 17 blue marbles. If john pulls one marble out of the
    14·1 answer
  • What is the slope of the line through (4, 7) and (5, 12)?
    14·1 answer
  • The equivalent expression for (x-6)(4)
    5·1 answer
  • Please find the answer yo 749/d * d/749 = 1
    11·1 answer
  • Which is an equation of a line parallel to the line 2x - 4y = -16?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!