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
puteri [66]
3 years ago
8

FINDDD VALUE OF Y!!!!

Mathematics
1 answer:
solmaris [256]3 years ago
7 0

Answer:

The sum of the internal ángles = 360°

(3y+40)°  and  (3x-70°) are suplementary angles = 180°

then:

(3x-70) + (3y+40) + 120 + x = 360     ⇒ first eq.

(3y+40) + (3x-70) = 180      ⇒  second eq

development:

from the first eq.

3x + x + 3y  =  360  + 70 - 40 - 120

4x + 3y = 430 - 160

4x + 3y = 270       ⇒  third eq.

3y = 270 - 4x

y = (270 - 4x) / 3    ⇒  fourth eq.

from the secon eq.:

3y + 3x = 180 + 70 - 40

3y + 3x = 250 - 40

3y + 3x = 210    ⇒  fifth eq.

multiply by -1  the fifth eq and sum with the third eq.

  -3y  - 3x = -210    ⇒   (fifth eq. *-1)

   3y  + 4x = 270

⇒  0   +  x  = 60

x = 60°

from the fourth eq.

y = (270-4x)/3

y = (270-(4*60)) / 3

y = (270 - 240) / 3

y = 30/3

y = 10°

Probe:

from the first eq.

(3x-70) + (3y+40) + 120 + x = 360

3*60 - 70 + 3*10 + 40 + 120 + 60 = 360

180 - 70 + 30 + 40 + 120 + 60 = 360

180 + 30 + 40 + 120 + 60 - 70 = 360

430 - 70 = 360

Answer:

y = 10

You might be interested in
Geometry
SSSSS [86.1K]
Sorry man, don’t know it, hopefully you get someone who knows
7 0
3 years ago
How many pounds is a quarter of a ton?
zmey [24]
1 \ ton = 2000 \ lbs
\\2000 / 4 = 500
\\\boxed {500}
3 0
3 years ago
Read 2 more answers
Is the point (1,-3) a solution to the system? show all your work <br><br>y&gt;x-1<br>y &gt;-x+2
vagabundo [1.1K]

Answer:

To determine if the point is a solution, substitute the x value into the right side of the inequality and compare the result with the y value of the point.

- x + 2 = - 1 + 2 = 1

Now - 3 < 1

Thus (1, - 3) is not a solution

Step-by-step explanation:

6 0
2 years ago
Write an equation for the line passing through the points (-5,15) and (20,25). Show how you found your answer.
olasank [31]

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-5, 15) and (20, 25). substitute:

m=\dfrac{25-15}{20-(-5)}=\dfrac{10}{25}=\dfrac{2}{5}\\\\y-15=\dfrac{2}{5}(x-(-5))\\\\y-15=\dfrac{2}{5}(x+5)\qquad|\text{use distributive property}\\\\y-15=\dfrac{2}{5}x+2\qquad|\text{add 15 from both sides}\\\\y=\dfrac{2}{5}x+17\qquad|\text{multiply both sides by 5}\\\\5y=2x+85\qquad|\text{subtract 2x from both sides}\\\\-2x+5y=85\qquad|\text{change the signs}\\\\2x-5y=-85

Answer:

point-slope form: y-15=\dfrac{2}{5}(x+5)

slope-intercept form: y=\dfrac{2}{5}x+17

standard form: 2x-5y=-85

7 0
3 years ago
A student bought 34 pencils for school.if he sharpened 16 of the pencils before school whats is his ratio of unsharpened pencils
Sergio [31]


he bought 34 pencils which I suppose aren't already sharpened

so if he sharpens 16 of them just subtract 16 from 34 (34-16) which equals 18

so the ratio would be 16:18

but if u need to simplify it would be 8:9

3 0
3 years ago
Other questions:
  • Was is 29.15 as a mixed number in simplest form
    14·1 answer
  • Evaluate the geometric series or state that it diverges. <br><br> [infinity]<br> Σ e^-5n<br> n=0
    10·1 answer
  • Is the eye color of people on commercial aircraft flightseye color of people on commercial aircraft flights a discrete random​ v
    8·1 answer
  • What is the greatest common factor GCF of 10 and four
    12·2 answers
  • &lt;1 and &lt;2 form a linear pair. The measure of &lt;2 is six more than twice the measure of &lt;1. Find the measure of &lt;2
    13·1 answer
  • Select all the true statements.<br><br> x=y
    10·1 answer
  • Please help!!!!!!!!!!
    8·1 answer
  • If sec theta&gt;0 and tan theta&lt;0, the terminal side of angle theta must lie in​
    14·2 answers
  • Help fast 100 points!!
    15·2 answers
  • "flower, heart, circle." what is The 35th shape is
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!