Plz help me solve for x and y

Plz Help Me Solve For X And Y

Answers

Answer 1

Answer:

x = 40°

y = 30°

Step-by-step explanation:

Given parallelogram ABCD :

∠A = 3x°∠B = 2y°∠C = 120°∠A = ∠C∠B = ∠D∠A + ∠B = 180°∠B + ∠C = 180°∠A + ∠B + ∠C + ∠D = 360°

∠A = ∠C

3x = 120

x = 120 ÷ 3

x = 40°

∠B + ∠C = 180°

2y + 120 = 180

2y = 180 - 120

2y = 60

y = 60 ÷ 2

y = 30°
Answer 2

Answer:

x = 40°

y = 30°

Step-by-step explanation:

Given the diagram of a parallelogram, where:

∠A = 3x°, ∠B = 2y°, and ∠C = 120°

The given problem also requires us to find the values of x and y.

In reference to the Parallelogram Opposite Angles Theorem, where it states that: if a quadrilateral is a parallelogram, then it will have congruent opposite angles.  In other words, ∠A ∠C , and ∠B ∠D.

Solve for x:

Hence, we can establish the following equality statement to solve for the value of x:

m∠A = m∠C

3x° =  120°

Divide both sides by 3 to solve for x:

[tex]\displaystyle\mathsf{\frac{3x^{\circ}}{3}=\:\frac{120^{\circ}}{3}}[/tex]

x = 40°

Therefore, the value of x = 40°.

Solve for y:  

In order to solve for y, we must refer to the Parallelogram Consecutive Angles Theorem, where it states that if a quadrilateral is a parallelogram, then its consecutive angles are supplementary whose sum add up to 180°.

In the given diagram, ∠A and ∠D, ∠B and ∠C are consecutive angles.  

We can establish the following equation to solve for the value of y:

m∠B + m∠C = 180°

2y° + 120° = 180°

Subtract 120° from both sides:

2y° + 120° - 120° = 180° - 120°

2y° = 60°

Divide both sides by 2 to solve for y:

[tex]\displaystyle\mathsf{\frac{2y^{\circ}}{2}=\:\frac{60^{\circ}}{2}}[/tex]

y = 30°

Therefore, the value of y = 30°.


Related Questions



Please help. Thank you!

Answers

Answer:  6.33 cups of flour

Step-by-step explanation:

The ratio of cups of cashews to cups of flour is 4:5.  We can set this as a ratio:  (4 cups cashews)/(5 cups flour).

If we have 3 cups of cashews, we can multiply by uasing the inverse of the above ratio:  (5 cups fluor)/(4 cups cashews)

(3 cups cashews)*((5 cups fluor)/(4 cups cashews) = (15/4)*( cups fluor) = 3.75 cuops of fluor.

What does this graph represent?
Question options:
not moving
acceleration
constant speed

Answers

Answer:

A or C

Step-by-step explanation:

Properties of Exponents-
Simplify (4a⁵b⁶)⁴ ​

Answers

~exponent

===========================

(4a⁵b⁶)⁴

= 4⁴ × (a⁵)⁴ × (b⁶)⁴

= 256 × (a⁵)⁴ × (b⁶)⁴

= 256a²⁰ × (b⁶)⁴

= 256a²b² ✔️

~ nice to help you ^^

☆Answer :

(4a⁵b⁶)⁴ = ?

= 4⁴ (a⁵)⁴ (b⁶)⁴

= 256a²b²

Tangela bought 12 cans of sodas for $5.40

Answers

Answer:

324

Step-by-step explanation:

Answer:

0.45 for one can of soda

Step-by-step explanation:

If you want to know the price for one soda all you have to do is divde.

12 ÷ 5.40 = 0.45

So, one soda can is $0.45! Have a great day friend! :D

plss help po
grade 11 student topic​

Answers

Answer:

1. f(3) = 11

2. f( 1 ) = 6

3. f(-2) = -5

Step-by-step explanation:

Note: I will only work on questions 1 and 2 in order to allow you to practice the techniques provided in this post, as you work on question 3.  However, I will provide the correct answer for question 3, as your reference.

In order to evaluate each of the given functions, simply substitute the inputs provided in the function notation, f(x).

1. f(x) = 2x + 5, find f(3).

To evaluate the given linear function, simply substitute x = 3 as an input into the function:

f(3) = 2x + 5

f(3) = 2(3) + 5

f(3) = 6 + 5

f(3) = 11

Therefore, the value of f(x) = 2x + 5 given f(3) is:  f(3) = 11.

2. f(x) = x² + 2x + 3, find f(1)

Similar to question 1, substitute x = 1 as the input of the given quadratic function.

f(x) = x² + 2x + 3

f( 1 ) = ( 1 )² + 2( 1 ) + 3

f( 1 ) = 1 + 2 + 3

f( 1 ) = 6

Therefore, the value of f(x) = x² + 2x + 3 given f( 1 ) is f( 1 ) = 6.

3. f(x) = 3x² + 5x - 7, find f (-2)

If evaluated properly, the correct answer is: f(-2) = -5.

f(x)=-3x^2 find f(-2)

Answers

Answer:

12

Step-by-step explanation:

f(-2)=3(-2)^2

f(-2)=3(4)

f(-2)=12

Owen had 8,452 books donated to our school. If he shares with with 23 classes about how many books does each class get?

Answers

Answer:

how many kids are in each class though

Find the 60th term of the arithmetic sequence -10, 8, 26,

Answers

Answer:

a₆₀ = 1052

Step-by-step explanation:

There is a common difference between consecutive terms , that is

8 - (- 10) = 26 - 8 = 18

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 10 and d = 18 , then

a₆₀ = - 10 + (59 × 18) = - 10 + 1062 = 1052

Answer:

a(60) = 1052

Step-by-step explanation:

Note that when going from -10 to 8 we make a jump of 18; similarly, going from 8 to 26, we make a jump of 18 again.  Thus, the common difference in this arithmetic sequence is 18, and given that the first term is -10, the sequence must be:

a(n) = -10 + 18(n - 1)

Therefore, the 60th term is

a(60) = -10 + 18(59), or

a(60) = 1052


If a = 7 and b = 2, find the value of
a) a - b
b) 2a + 3b
c) 2ab
d) (a - b)^2

Answers

Answer:

(1) 5

(2) 20

(3) 28

(4) 25

Step-by-step explanation:

(1)

Substitute: 7 - 2

Calculate the sum or difference:

Answer: 5

(2)

Substitute: 2 × 7 + 3 × 2

Calculate the product or quotient: 14 + 6

Calculate the sum or difference: 20

Answer: 20

(3)

Substitute: 2 × 7 × 2

Calculate the product or quotient: 28

Answer: 28

(4)

Substitute: (7 - 2) ²

Calculate the sum or difference: 5²

Calculate the power: 25

Answer: 25

Answer:

Step-by-step explanation:

7-2=5

2×7+3×2=20

2×7×2=28

(7-2)^2

7-2=5

5^2=25

Find the 75th term of the arithmetic sequence -21, -10, 1

Answers

Answer:

793

Step-by-step explanation:

Arithmetic sequences are basically linear equations, so as input increase by one output always increases by the same amount. In sequences this is called common difference. To find it, just subtract one term by the term right before it.

So, -10--21=11 and also 1--10=11

so common difference is 11

now we will use the formula Asubn=Asub1+d(n-1)

D is Common difference and n is the term you're solving for. The n-1 is a result of the first term being in the formula. When one is plugged into n-1 you get zero and then multiply d by zero and you get zero and are left with Asub1

Anyways, Asub75=-21+11(75-1)=793

x =

82
262
98

when answering this can you explain how you got the answer so i can stop asking brainly.

Answers

Answer:

82

Step-by-step explanation:

in a quadrilateral the sum of opposite sides should be 180 degrees

The answer is 82

The angles opposite from each other are supplementary, meaning they equal 180 degrees

180 - 98 = 82

The following equation is true because of the distributive property, YES or NO.

2(y + 5) = 2y + 10

Answers

The answer is yes.

Step-by-step explanation:

The number outside the bracket gets multiplied with both the numbers inside the bracket.

5/7 of a number is 55
work out the number.
please help with this question

Answers

Answer:

77

Step-by-step explanation:

Hope this helps..

Good luck.

The answer is 77

typingthistogettothe20charactercap

We have a right triangle $\triangle ABC$ where the legs $AB$ and $BC$ have lengths $6$ and $3\sqrt{3},$ respectively. Medians $AM$ and $CN$ meet at point $P.$ What is the length of $CP$

Answers

By using Pythagoras theorem and distance formula the length of CP is obtained as 3.43 units.

What is Pythagoras Theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

To find the length of CP, first find the coordinates of point P, and then use the distance formula to calculate the length of CP.

Let A be at the origin (0, 0), and let B be on the positive x-axis at (6, 0). Then we can find the coordinates of C using the Pythagorean theorem -

AC² + BC² = AB²

AC² + (3√3)² = 6²

AC² = 9

AC = 3

So C is located at (3, 3√3). We can find the coordinates of M by taking the average of the coordinates of A and B, which gives -

M = ((0+6)/2, (0+0)/2) = (3, 0)

Similarly, find the coordinates of N by taking the average of the coordinates of B and C, which gives -

N = ((6+3)/2, (0+3√3)/2) = (4.5, 1.5√3)

Now find the equation of the line passing through M and C, which is the line containing median AM -

slope = (3√3 - 0)/(3 - 0) = √3

y - 0 = √3(x - 3)

y = √3x - 3√3

And find the equation of the line passing through N and A, which is the line containing median CN -

slope = (0 - 3√3)/(0 - 6) = √3/2

y - 0 = (√3/2)(x - 6)

y = (√3/2)x - 3√3

Now, find the intersection point of these two lines, which is point P -

√3x - 3√3 = (√3/2)x - 3√3

x = 6/3.5

x = 12/7

y = √3(12/7) - 3√3

y = 3√3/7

So P is located at (12/7, 3√3/7).

Now use the distance formula to find the length of CP:

CP² = (12/7 - 3)^2 + (3√3/7 - 3√3)²

CP² = (33/7)^2 + (6√3/7)^2

CP² = 1089/49 + 72/49

CP² = 1161/49

CP = √1161/7

Therefore, the length of CP is (approximately) 3.43.

To learn more about Pythagoras Theorem from the given link

https://brainly.com/question/21970437

#SPJ1

8. The area of a rectangular fence is 500 square feet. If the length of the
fence is 25 feet, then find its width.

Answers

Answer:

20 square feet

Step-by-step explanation:

500/25 = 20

20x25 = 500

Which represents the inverse of the function f(x) = 4x?
h(x) = X + 4
h(x) = X - 4
H(x) = =x
h(x) = x

Answers

Answer:

Can you pls give a bit more information.

Step-by-step explanation:

What is the solution?

Answers

Answer:

(4, 4)

Step-by-step explanation:

y = 7/4 x - 3       graph (0, -3) (2, .5), (4, 4) (8, 11).  Draw the line

y = x                        graph (0,0)  (2, 2), (4, 4) , ( -2, -2).  Draw the line

The two lines intersect at point (4, 4)

I need help with these questions. Thanks!​

Answers

Answer:

47.27°44.22°

Step-by-step explanation:

Q1)

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(x) = 57/84

The inverse function is used to find the angle.

  x = arccos(57/84)

  x ≈ 47.27°

__

Q2)

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(x) = 53/76

The inverse function is used to find the angle.

  x = arcsin(53/76)

  x ≈ 44.22°

Is it possible to draw a triangle whose sides have lengths 10.3 cm, 5.8 cm and 4.6 cm?Justify your answer.
(answer me fast kid)

Answers

Answer:

Yes it is possible

Step-by-step explanation:

let a = 10.3, b =5.8 , c= 4.6

a+b= 16.1>4.6=c

b+c=5.8+4.6=10.3>10.3=a

c+a=4.6+10.3=14.7>5.8=b.


[tex] \: \: \: [/tex]

help me po

1.) if mHO =150° and mPO =80° what is the m∠HEO?


2.) if mMT =140° and mMHT =220° find m∠ MAT


answer 3-4 only

need properly answer
right answer= brainlist follow and thanks
nonsense answer will be reported​

Answers

Answer:

b. secantc. 45°d. 35°d. 40°

Step-by-step explanation:

1. A chord is a line segment whose end points lie on a circle. The line containing that segment is called a "secant."

__

2. The angle where chords cross is the average of the intercepted arcs:

  (50° +40°)/2 = 45° . . . . measure of angle CSA

__

3. The angle where secants or tangents meet is half the difference of the intercepted arcs.

  (150° -80°)/2 = 35° . . . . measure of angle HEO

__

4. The angle where secants or tangents meet is half the difference of the intercepted arcs.

  (220° -140°)/2 = 40° . . . . measure of angle MAT

Please note that this is the supplement of arc MT between the tangents.

Answer:

The DNA is a double-stranded molecule that has a long chain of nucleotides. The RNA is a single-stranded molecule which has a shorter chain of nucleotides. Propagation. DNA replicates on its own, it is self-replicating. RNA does not replicate on its own.

Neuron Function: Food Preservation

Fertilizer Meaning: Exocrine Glands

Food Chain Examples: Cell Biology

Step-by-step explanation:

yo kya haal hai

Solve this equation

(X+1)/4 = x/2

Answers

Answer:

1 = x

Step-by-step explanation:

First eliminate the fractions by multiplying both sides by the LCD, which is 4:

x + 1 = 2x

Subtracting x from both sides yields 1 = x

PLS HELP PLS ILL GIVE BRAINLKEST THANKS

Answers

Answer:

2 d>7 because at first you have to distance how much hours is from Virginia to Florida and thats approximately 12hrs and 33 minutes so, d is greater than 7 hours

Use the example as a model. Simplify the expressions.
t^37=?

i
-i
1
-1​

Answers

Answer:

Step-by-step explanation:

[tex](\iota)^{37}=(\iota)^{36} \times \iota=[(\iota)^2]^{18}\times \iota=(-1)^{18} \iota=\iota[/tex]

calls for
1
4
4
1

cup of sugar and
2
3
3
2

cup of flour. Janelle wants to proportionally increase these amounts to get a new recipe using one cup of sugar.

Answers

Answer:

Use a converation table and figure out 4/4-1/4 and that would be how much you would add for a new cup of sugar

this is due in less the 30 minutes and this is my last question on the assignment please help and show work. will give brainliest

Answers

Answer:

22,100

Step-by-step explanation:

Answer:

the answer in 18,300

Step-by-step explanation:

2 x 3 5/8= 7 1/4

7 1/4 +1 9/10= 9 3/20

9 3/20 / 2= 18 3/10

18 3/10 x 1000=18,300

For f(x) = -5x+10, what us the value of x for which f(x) = 35

Answers

Answer:

x= -5

Step-by-step explanation:

f(x)= -5x +10

35= -5x +10

35-10 =-5x

25/-5 =x

x= -5

DesBest Granola bars are now 25% longer. if the original bar was 20 centimeters long, how long is the new granola bar?

Answers

Answer:

25

Step-by-step explanation:

25% is a 4th of the whole number, the whole number is 20 so a 4th of 20 is 5 because 5 times 4 equals 20.

due to the fact that 25% of 20 is 5 we now have to add that to the whole number which is 20.

20 + 5 = 25

Please help! urgent! A-E questions
no links!!!!!

A. Name a line parallel to KI.
B. Name a line skew to KI
C. Name a plane parallel to plane KIJ.
D. Name a line parallel to plane GJI.
E. What is a difference between parallel lines and skew lines? ​

Answers

Answer:

a. KJ

b. GF

c. HFG

d. FIJ

e. parallel lines will never intersect, skew lines are crooked and not in line with another specified line.

Step-by-step explanation:

hope this helps :)

Morgan is working two summer jobs, making $19 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she can work a maximum of 11 total hours and must earn no less than $120. If xx represents the number of hours lifeguarding and yy represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution. (Delta Math)

Answers

Answer:

(hope this helps can I pls have brainlist (crown))

Step-by-step explanation:

Morgan could work 6 hours lifeguarding and 3 hours walking dogs.

the total number of hours worked in both jobs,

x+y

x+y, must be less than or equal to 11

solve inequalities for y

x+y≤11

y≤11−x

Morgan makes $19 per hour lifeguarding, so in x hours she will make

19x dollars. Morgan makes $6 per hour walking dogs, so in

y hours she will make 6y dollars. The total amount earned 19x+6y

19x+6y must be greater than or equal to

$120

solve inequalities for y

19x+6y≥120

6y≥120−19x

y≥20-19/6x

how do i simplify these?
. X x X x X
.Y x Y x Y x Y x Y

Answers

Hello!

X*X*X=X times X times X = X³

Y*Y*Y*Y*Y=Y times Y times Y times Y times Y= Y⁵

Hope it helps you! :)

Let me know if you have any query or need further explanation. :)

~A determined gal

[tex]MagicalNature[/tex]

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