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
lapo4ka [179]
1 year ago
12

Find x and y. pls pls help

Mathematics
1 answer:
Anna [14]1 year ago
7 0

Answer:

x = 65 , y = 64

Step-by-step explanation:

y - 16 and 2y + 4 are same- side interior angles and sum to 180° , that is

y - 16 + 2y + 4 = 180

3y - 12 = 180 ( add 12 to both sides )

3y = 192 ( divide both sides by 3 )

y = 64

then

2y + 4 = 2(64) + 4 = 128 + 4 = 132

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

2y + 4 is an exterior angle of the triangle , then

x + 67 = 132 ( subtract 67 from both sides )

x = 65

You might be interested in
I need to know 7 8 9 10 11
icang [17]
I think #7 is 40
#9 is 300
5 0
3 years ago
Sandra​, who is paid​ time-and-a-half for hours worked in excess of 40​ hours, had gross weekly wages of $ 608 or 56 hours worke
vodomira [7]
Time-and-a-half doesn't make enough sense to answer the question. If you fix it, or comment below the correction I will gladly help.
4 0
3 years ago
Write y=x^2+16x−7​ in vertex form. Then identify the vertex.
WARRIOR [948]

The vertex form of the function is y = (x + 8)² - 71

The vertex is (-8 , -71)

Step-by-step explanation:

The vertex form of the quadratic equation y = ax² + bx + c is

y = a(x - h)² + k, where

  • (h , k) are the coordinates of the vertex point
  • a, b, c are constant where a is the leading coefficient of the function (coefficient of x²) , b is the coefficient of x and c is the y-intercept
  • h=\frac{-b}{2a}
  • k is the value of y when x = h

∵ y = x² + 16x - 7

∵ y = ax² + bx + c

∴ a = 1 , b = 16 , c  = -7

∵ h=\frac{-b}{2a}

∴ h=\frac{-16}{2(1)}

∴ h = -8

To find k substitute y by k and x by -8 in the equation above

∵ k is the value of y when x = h

∵ h = -8

∴ k = (-8)² + 16(-8) - 7 = -71

∵ The vertex form of the quadratic equation is y = a(x - h)² + k

∵ a = 1 , h = -8 , k = -71

∴ y = (1)(x - (-8))² + (-71)

∴ y = (x + 8)² - 71

∵ (h , k) are the coordinates of the vertex point

∵ h = -8 and k = -71

∴ The vertex is (-8 , -71)

The vertex form of the function is y = (x + 8)² - 71

The vertex is (-8 , -71)

Learn more:

You can learn more about quadratic equation in brainly.com/question/9390381

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
Which operation should you perform first when you simplify
Paha777 [63]
Order of Operations, I'm pretty sure
6 0
3 years ago
Read 2 more answers
Write p(x) = 21 + 24x + 6x2 in vertex form.
Citrus2011 [14]

<u>ANSWER</u>

p(x)=-3+6(x+2)^2


<u>EXPLANATION</u>


The given function is


p(x)=21+24x+6x^2


We make the coefficient of x^2 unity by factoring 6 out of the last two terms to obtain;


p(x)=21+6(4x+x^2)


We now add and subtract half the coefficient of x multiplied by a factor of 6 to obtain;


p(x)=21-6(2)^2+6(2)^2+6(4x+x^2)


We now factor 6 out of the last two terms to get;


p(x)=21-6\times 4+6((2)^2+4x+x^2)


p(x)=21-24+6((2)^2+4x+x^2)


The quadratic trinomial in the parenthesis is now a perfect square.


p(x)=-3+6(x+2)^2


Hence the vertex form of the polynomial is


p(x)=6(x+2)^2-3









8 0
3 years ago
Read 2 more answers
Other questions:
  • How do you factor x^2+11x+10=0?
    11·1 answer
  • What is the value of x to the nearest tenth?<br> 39°
    15·1 answer
  • Elena has 32 hair ties. Melanie has 8 hair ties the ratio of elena's hair ties to Melanie's hair ties is
    14·1 answer
  • Find the unknown length in the right triangle. If necessary, approximate the
    7·1 answer
  • WHICH ONE OF THE FOLLOWING IS A GEOMETRIC SEQUENCE?
    9·1 answer
  • Round 47,250 to nearest thousand
    10·2 answers
  • 3 x 5to the power of 2 so 5’2
    13·2 answers
  • Math need help asap, please!!! 19 points if you help. NO LINKS
    8·1 answer
  • A. C=22d<br> B. C= d + 22d<br> C. C= d + 22<br> D. D = 22c
    13·1 answer
  • Fractions and decimals
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!