Find the values of x and y. The diagram is not to scale.

Find The Values Of X And Y. The Diagram Is Not To Scale.

Answers

Answer 1

Answer:

51+x-5+y-6=180

x+y=180-51+5+6

X+y=140

Answer x=77 y=63

(those 2 lines with the arrows are perpendicular so their angles are the same 72° and (x-5)=77-5= 72°)

Answer 2

The values of x and y are 77 and 63 respectively.

What is Angle?

Angle is defined as the figure formed by two lines or rays which has a common point of intersection where the angle is formed.

Sum of the interior angles of a triangle is supplementary.

That is three angles (y - 6)°, 72° and an unknown angle is supplementary.

We have two parallel lines given and a transversal line intersects the parallel lines.

So the unknown angle of the triangle and the angle 51° are alternate interior angles and are thus equal.

So the third angle of the triangle = 51°

(y - 6) + 72 + 51 = 180

y - 6 + 123 = 180

y + 117 = 180

y = 63

The angles (x - 5)°, 51° and (y - 6)° are supplementary.

(x - 5) + 51 + (y - 6) = 180

x - 5 + 51 + 63 - 6 = 180

x + 103 = 180

x = 77

Hence the value of x is 77 and the value of y is 63.

To learn more about Angles, click on the link given below :

https://brainly.com/question/28451077

#SPJ2


Related Questions

There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 233.5 grams of this cereal,
There are calories in 233.5 grams of this cereal.
(Round to the nearest whole number as needed.)

Answers

Answer:

145

Step-by-step explanation:

110÷177.4=.62 cal per gram

.62×233.5=145 rounded

If : f(x): m, x + 3 0 - 2x +12. 5< X < infinity
What must the value of m, be so that the
two pieces of this piecewise function intersect
the same point ?
A. m, = -5
B. m, = -1/5
C. m, = 2
D. m, = 5

Answers

Answer:

.

Step-by-step explanation:

Steven bagged 52 pounds of potatoes. About what is that measure in kilograms?

Answers

Answer:

52 pounds in kilograms is 23.5868

Solve for z.

z/4 −2
= 2


z =

Answers

Answer:

z=16

Step-by-step explanation:

z/4-2=2(take l.c.m)

or,(z-8)/4=2

or,z-8=8

z=16

Answer:

z = 16

I hope this helps!

Peter is saving money to buy an MP3 Player. After one month, he has $50. After two months he has $85. After three months, he has $120. He plans to keep saving at the same rate. How long will it take Peter to save enough money to buy an MP3 Player that costs $295?

Answers

Answer:

9 months

Step-by-step explanation:

peter is saving 35 dollars per month.  

295=35x

295/35=8.42 which is less than 295

9 is an approximate answer

35*9 equals 315, which is enough to pay 295 and have 20 dollars left over

what is 56897712937e+ - (-73618260) ??

Answers

Your answer is 1.54737637e11

Answer:

154737637418

Step-by-step explanation:

solve for x 3x+10 3x -28 will mark brainest answers are 1. 33 2. 34 3. 35 4. 36 ty so much 1 left godbless ​

Answers

Answer:

1.  x = 33

Step-by-step explanation:

3x+10 + 3x -28 = 180

3x + 3x = 180 + 28 - 10

6x = 198

x = 198/6

x = 33

Answer:

33

Step-by-step explanation:

By the same side interior angle theorem, we can find that 3x + 10 and 3x - 28 are supplementary. Knowing this, we can make the equation:

(3x + 10) + (3x - 28) = 180

Now we can solve for x. Combine like terms.

6x - 18 = 180

Add 18 from both sides.

6x = 198

Divide both sides by 6.

x = 33

So the value of x would be 33.

I hope you find my answer and explanation to be helpful. Happy studying.

Which of all the following inequalities is true for all real values of x?

Answers

Answer:

  C.  1/(x^2 +1) > 0

Step-by-step explanation:

The cube of a negative number is negative, eliminating choices B and D for certain negative values of x.

1/x^2 is undefined for x=0, so cannot be compared to zero.

The value 1/(x^2+1) is positive everywhere, so that is the expression you're looking for.

  1/(x^2 +1) > 0

Complete the following statement.
+(-7) = 3
I need help

Answers

Answer:

10

Step-by-step explanation:

Well is you do 10+(-7), the signs would change to 10-7, therefor it equals 3

Answer:

it's 10.

Step-by-step explanation:

10+(-7) =3

10-7=3

PLEASE HELPP

What does it mean for angles to be supplementary and complementary?

Answers

Answer:

A complementary angle is an angle that adds up to 90 degrees. supplementary angles add up to 180 degrees. So a supplementary angle lies on a single, straight line, and a complementary angle is a right angle.

Step-by-step explanation:

hopes this helps

Answer:

Step-by-step explanation:

Supplementary is when all the angles add up to 180. Complementary is when all the angles add up to 90.

4/5% of 192?
show work please

Answers

Answer:

153.60

Step-by-step explanation:

This will help you and make me burillan

What number is not an integer
3407, 6.729, 0, -46

Answers

Answer:

6.729

Step-by-step explanation:

Integers only include plsitive and negative numbers and zero. 6.729 is a number alright but it is a fractional or decimal number.

6.729
^ short answer

what is the equation of the line that passes through (6,4) and (4,1)

Answers

Answer:

y = 3/2*x - 5

Step-by-step explanation:

Lets say that P1=(6,4) and P2=(4,1) and that the form of the equation must be y=m*x+b where m is the slope and b the independent variable. Then having two given points we can use the slope formula to find the slope value as:

P1=(x1,y1) and P2=(x2,y2)

slope formula --->   m=(y2-y1)/(x2-x1)

Replacing the given points --->    m=(1-4)/(4-6) = 3/2

then replacing the slope value obtained:

y = 3/2*x + b

Now lets find the value of b. For this we have to replace in the equation a point it can be P1 or P2, i will replace P2:

1 = 3/2*4 + b

1 = 6 + b

1 - 6 = b

-5 = b

therefore the line equation is:

y = 3/2*x - 5

Partial credit
00:00
Selma buys 10 juice boxes. She wants to give 2 juice boxes to each friend.
Part A
Which expressions can Selma use to figure out how many friends can get juice boxes? Choose all that apply
A.
10 - 2
B. 0 + 2. 2 + 24 + 2. 6 + 2
10 - 2
D
10 X 2
E. 10 - 2.8 - 2.6 -2.4 - 2.2 - 2
00:00
Part B
Solve the problem. How many friends can get juice boxes?
Enter you answer in the box

Answers

Answer:

A

Step-by-step explanation:

you will figure out how many friends can get juice boxes if you do 10-2 and you keep going until you have 0 left

The ordered pairs below represent a relation. Is the relation a function? (4,6) (5,6) (6,7) (7,8)

Answers

Answer:

no because two inputs have the same outputs

Step-by-step explanation:

4 log x = 4

What’s The Answer To This ?

Answers

Answer:

8

Step-by-step explanation:

8 . Is the answer ok ok ok

Write - 2.17 as a fraction

Answers

Answer:

2   17/100

Step-by-step explanation:

not sure if that is a negative sign before, if so, add the negative

Hi so i totally forgot basic algebra; is the difference of 5 and 6 expressed as 5-6 or 6-5

Answers

Answer:

6-5 because 6 > 5, so the difference is 1 instead of -1.

Step-by-step explanation:

Answer:

6-5

Step-by-step explanation:

you subtract it correctly

Neptune is about 2,700,000,000 miles from earth mercury is about 135,000,000 miles from earth determine how many times farther it is from earth to Neptune

Answers

Answer:

2 or 2 x 10⁰

Step-by-step explanation:

Answer:

20 times further

Step-by-step explanation:

Neptune is about 2,700,000,000 miles from Earth.

Mercury is about 135,000,000 miles from Earth.

Write in scientific notation to help solve. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. The power is the number of decimal places you move.

2,700,000,000 = 2.7 x [tex]10^{9}[/tex]

135,000,000  = 1.35 x [tex]10^{8}[/tex]

2)

[tex]\frac{Neptune}{Mercury} = \frac{2.7 * 10^{9} }{1.35*10^{8} }[/tex]

You can see there is only one extra 0 on top, the rest will cancel so you're left with:

[tex]\frac{27}{1.35} = 20[/tex]

It's 20x farther to Neptune from Earth, than it is to Mercury from Earth.

Simplify
56
to lowest terms.
64

Answers

Answer:

7/8 is the simplified fraction for 56/64 by using the GCD or HCF method. Thus, 7/8 is the simplified fraction for 56/64 by using the prime factorization method.

Step-by-step explanation:

Identify all the numbered angles that are congruent to the given angle.
Justify your answers.

Answers

Answer/Step-by-step explanation:

The reasons for the stated numbered angles that are congruent to the given angles are written in the parentheses as follows:

7. <7 ≅ 65° (alternate interior angles)

<4 ≅ 65° (corresponding angles)

<1 ≅ 65° (vertical angles)

8. <4 ≅ 51° (alternate interior angles)

<5 ≅ 51° (corresponding angles)

<7 ≅ 51° (vertical angles)

9. <1 ≅ 120° (corresponding angles)

<3 ≅ 120° (alternate angles)

more FILL IN THE BLANKS FOR SCHOOL.... please help soon as possible

Answers

Answer:

2

Step-by-step explanation:

-42/14 = 3, so you need to cancel out the 1/2 being multiplied on the bottom part of the fraction

In the figure, m∠1=(2x+40)° and m∠8=(12x−20)° . PLEASE IM BEGGING FOR HELP

For what value of x is m∥n ?

Enter your answer in the box.

x =

Answers

Answer:   x = 6

Step-by-step explanation:

Angles 1 and 8 are alternate exterior angles, so they are equal.

So you can create an equation to solve for x

12x−20 = 2x+40  Subtract 2x from both sides. Add 20 to both sides

10x = 60

x = 6

If you need the  m∠1, Substitute 6 for x.  (2x+40)°  2(6) +40= 12+40 m∠1= 52°

m∠8=(12x−20)°   12(6) - 20 = 72-20  m∠8 = 52°

Answer:

x=6

Step-by-step explanation:

free point

Evaluate the function.
f(x) = -x^2+ 7x - 13
Find f(-3)

Answers

the answer to this is -25
f(x) = -x^2 +7x-13
f(-3) = -(-3)^2 + 7(-3) - 13
f(-3) = 3^2 -21 -13
f(-3) = 9-21-13
f(-3)= -25

Change this percent to a decimal: 8.25%

Answers

Answer:

0.0825

Step-by-step explanation:

8.25×0.10=0.0825

0.0825

8/28848;8;88;8(

4x+ 2/3y= 20 solve for y

Answers

Answer:

y=-6s+30

Step-by-step explanation:

7th grade math help me pleasee

Answers

Answer: 15 + (-35) = -20

Step-by-step explanation: This is the addition equation for your question.

Answer:

15 plus -15 plus -20

Step-by-step explanation:

15 plus -15 equals zero, when we add a the a negative and a positive of the same number it's a zero. And I add -20 to go down instead of subtracting.

~~Hope this helps~~~ :)

Side Length
(inches)
Perimeter
(inches)
0.5
2
7
?
20

Answers

Answer:  The missing side is 10.5 inches

Step-by-step explanation:

Add the side lengths you know  0.5+2+ 7= 9.5

Subtract that from 20   20- 9.5 = 10.5

Don't forget to include the unit length,inches.

Find the midpoint of the segment with the following endpoints.
(-6, 4) and (-1,-6)

Answers

Answer:

Hello

Midpoints of (-6,4),(-1,-6)

P(a,b)=(x1+x2/2),(y1+y2/2)

        =(-6+-1/2),(4+-6/2)

        =(-7/2),(-2/2)

        =(-7/2),(-1)

Midpoints of the segment with endpoints (-6, 4) and (-1,-6) are (-7/2),(-1)

Hope it helps you......

6. Given: 9x^3 – 3x^2 + 2x^4 – 7x – 10
a. What is the leading coefficient?
b. What is the degree?
c. How many terms are there?
d. What is the constant?
e. What is the quadratic coefficient?​

Answers

Answer:

a. 2, because it is the coefficient of the highest degree.

b. 4

c. 5 terms.

d. -10

e. 3, as it is the coefficient of x^2.

If you need more help don't hesitate to ask :)

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