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
What is the value of cos(A) in the diagram?<br> a.60/61<br> b.61/11<br> c.11/61<br> d.61/60
ehidna [41]

Answer:

a. 60/61

Step-by-step explanation:

With reference angle A

base(b) = 60

hypotenuse (h) = 61

Now

Cos(A) = b / h

= 60/ 61

3 0
3 years ago
Read 2 more answers
Write a numerical expression that represents the number of increments it will take to reach -60 feet.
Marizza181 [45]

Answer:

Step-by-step explanation:

Write a numerical expression that represents the number of increments it will take to reach -60 feet

4 0
3 years ago
5x + 1 over 2y2
Oxana [17]

Step-by-step explanation:

So for this question just substitute the value and work out. I thought it it to the power of 2 as I can't tell from the question.

4 0
2 years ago
Shayla has 6 1/2 pounds of potato salad into containers each of which holds 1 5/8 pounds. How many containers does she need?
Oksi-84 [34.3K]

let's firstly convert the mixed fractions to improper fractions and then divide.

\bf \stackrel{mixed}{6\frac{1}{2}}\implies \cfrac{6\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{13}{2}}~\hfill \stackrel{mixed}{1\frac{5}{8}\implies \cfrac{1\cdot 8+5}{8}}\implies \stackrel{improper}{\cfrac{13}{8}} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{total salad}}{\cfrac{13}{2}}\div \stackrel{\stackrel{\textit{conainer's}}{\textit{capacity}}}{\cfrac{13}{8}}\implies \cfrac{\begin{matrix} 13 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}{\underset{1}{\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}}\cdot \cfrac{\stackrel{4}{\begin{matrix} 8 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}}{\begin{matrix} 13 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}\implies 4

6 0
3 years ago
6.7 more than the product of 5 and n
Jlenok [28]
6.7 5 n More than means + Product of means • So 6.7+(5n)
8 0
3 years ago
Other questions:
  • -3 1/3b =5 what is the value of b?
    6·2 answers
  • SH<br>What is the greatest common factor (GCF) of 35 and 28?<br>​
    6·2 answers
  • Can someone write an equation from these coordinates<br> (1,-9)<br> (2,-8)<br> (3,-5)<br> (4,0)
    13·1 answer
  • What is 33 and 1/3 as a percent?
    12·2 answers
  • Justin and Pedro each launched a toy rocket into the air. The height of Justin’s rocket is modeled by the equation h = –16t2 + 6
    5·2 answers
  • What is the answer 5x-3 =1/5x
    11·1 answer
  • Which term completes the product so that it is the difference of squares?
    15·2 answers
  • Hellppppppp plllz T^T
    10·1 answer
  • 3x = 4у + 12 .<br> What is the y intercept
    13·2 answers
  • Evaluate the summation of 2 n plus 5, from n equals 1 to 12. 29 36 216 432.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!