Mathematics High School

If an angle of a parallelogram is two-third of
its adjacent angle, the smallest angle of the
parallelogram is
(a) 54°
(b) 72°
(c) 81°
(d) 108°

Answers

Answer 1

Answer:

We know that in a parallelogram two opposite angles are equal -

[tex] \\ \implies \sf \: 2x + 2y = 360 {}^{ \circ} \\ \\ \\ \implies \sf \: x + y = 180 {}^{ \circ} \qquad \quad \: (i) \\ [/tex]

Given -

angle x is equal to the two - third of it's adjacent angle y.

[tex] \\ \implies \sf \: x = \frac{2}{3} y \\ \\ \\ \implies \sf \frac{x}{2} = \frac{y}{3} = k \\ \\ \\ \qquad \sf \small \underline{ x = 2k \: \: \& \: \: y = 3k} \\ [/tex]

Now, by using equation (1) :

[tex] \\ \implies \sf \: 2k + 3k = 180 \\ \\ \\ \implies \sf \: 5k = 180 \\ \\ \\ \implies \sf \: k = \frac{180}{5} \\ \\ \\ \large{ \boxed{ \sf{k = {36}^{ \circ} }}} \\ [/tex]

Now, by putting the value of k in x and y.

x = 2k = 2 × 36 = 72° y = 3k = 3 × 36 = 108°

Therefore, the right option and smallest angle is b) 72°.

Related Questions

Please help me and I will make you the brainiest

Answers

Answer:

y=a-4 divided 3-a and a cut so remember 4divided3  so, y= 1.33

Step-by-step explanation:

PLEASE HELP ME, and explain it please please please <3

Answers

the answer would be f(x)= x+47

Marisol earns overtime pay when she works more than 9 hours in a day. So far, she has worked 4 hours today. Write, and solve an inequality to show the values of x that will allow Marisol to earn overtime this shift.

PLSS HELP ASAPPP URGENT GOOD AND REAL ANSWERS ONLY

Answers

so basically you wanna think about what you know...she’s worked 4 hours, but she needs to get over 9 hours in order to get overtime.

we’re using x as the variable representing hours worked (other than the 4 hours already)

knowing this, we can set it up so that we have

4 + x > 9

and the. solve
4 + x -4 > 9 -4

x > 5

so this basically means that she needs to work over 5 more hours in order to earn overtime this shift

hope this helps :)

HELP!!!!!!!!!!!!!

-24 + 2(y - 9)

Answers

Answer:

2 ( -21 + y )

Step-by-step explanation:  

-24 + 2(y - 9)

-24 - 18 + 2y

-42 + 2y

2 ( -21 + y )

Pls give answer to this question ASAP :If one angle of a parallelogram is 24° less than
twice the smallest angle then the largest angle
of the parallelogram is
(a) 689
(b) 1020
(c) 1120
(d) 1769

Answers

Answer:

I am really sorry but I need points urgently

Step-by-step explanation:

Really sorry sorry

Which graph shows a polynomial function of an odd degree?

Answers

Answer:

THE ANSWER IS C ON EDGE.

Step-by-step explanation:

If both sides of the graph are pointing in the same way, THE FUNCTION HAS AN EVEN DEGREE.

The degree of a polynomial is the highest power of the polynomial.

Graph 3 has an odd degree.

From the attachments, we have the following highlights

The first graph crosses the x-axis, 4 timesThe second graph crosses the x-axis, 6 timesThe third graph cross the x-axis, 3 timesThe fourth graph cross the x-axis, 2 times

The above highlights mean that:

Graphs 1, 2 and 4 have even degrees, because they have an even number of  x-interceptsGraphs 3 have an odd degree, because it has an odd number of  x-intercepts

Hence, graph 3 has an odd degree.

Read more about degrees of polynomials at:

https://brainly.com/question/2284746

THIS IS HARD HELP....

Answers

Answer: you can google the Four 4’s assignment and there will be several sites and documents giving you all the answers

Step-by-step explanation:

4-3= 1
4x4= 16
4x5= 20

here’s a start

Can somebody help me wit this

Answers

........??.??.?.?.?.?.?..??.?.?.?.?.?.

Rashida owns a bike rental company. She charges an initial fee of $10 for each rental and an hourly rate of $4. Which of the equations below shows the amount y that Rashida charges for a bike rental that lasts x hours? A y = 10 + 4x C y = 4 + 10x B y = 10 - 4x D y = 4 - 10x

Answers

Answer:

Step-by-step explanation:

y = 4x + 10

the answer is A

PLEASE HELP MEEEE

Four-fifths of a number equals 16. Find the number.


The number is 20

The number is 31

The number is 17

Answers

Answer:

The number is 20

Step-by-step explanation:

Four-fifths = 4/5

Let the number = x

4/5 of x = 16

4/5 * x = 16

4/5x = 16

Divide both sides by 4/5

x = 16 ÷ 4/5

= 16 × 5/4

= 80 /4

= 20

Therefore, the number is 20

I really need help on this

Answers

i tried to be as detailed as possible...if you’re mainly just looking for answers...look for the arrows like this ↳

Raleigh went to a gaming arcade for his birthday. His parents gave him $55 to spend. He purchased $14.25 in
food and drinks, and put the rest of the money on a gaming card to spend at the arcade. Each game cost
$1.25.
How Many games can Raleigh play in the arcade?

Answers

Answer:

23 games

Step-by-step explanation:

40.75 divide by 1.25 comes out 23.28

Answer:

g<32.6

Step-by-step explanation:

1.25g+14.25<55

1.25g+14.25-14.25<55-14.25

1.25g<40.75

1.25g/1.25<40.75/1.25

g<32.6

A group of workers took 123.6 hours to
complete a job. A smaller group of workers
will complete the same job, but it will take
them 1.15 times as long as it took the first
group. How long did it take the smaller group
to complete the job?

Answers

Answer:

137.814 hours

Step-by-step explanation:

We simply need to multiply the time by the multiplier given in order to find the time it took for the smaller group

123.6 hours is the time and 1.15 is the multiplier

123.6x1.115=137.814 hours

The Ratio of cats to dogs is 3:4. if there are 12 cats, how many dogs are there?

1. 6 dogs
2. 20 dogs
3. 16 dogs
4. 12 dogs

Answers

I think it is 16 dogs but I’m not sure

Evaluate 8.5 +(-A) for A = -7.1

Answers

Answer:

15.6 = A

Step-by-step explanation:

8.5 + ( - (-7.1))

8.5 + 7.1

15.6

George has $15. He would like to know if he has enough money to see a movie ($9.00) and buy a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each). George incorrectly used this numerical expression to decide if he had enough money.


15 - 9 + 2.65 + 1.35 + 2(1.74)

Use the order of operations to simplify this expression.

Answers

Answer:

Yes, he has enough money and your simplified answer is below. If I'm wrong correct me or give me a comment.

Step-by-step explanation:

15 - 9 + 2.65 + 1.35 + 2(1.74) Multiply first.

15 - 9 + 2.65 + 1.35 + 3.48  Then just add or subtract from the left to the right

6 + 2.65 + 1.35 + 3.48

8.65 + 1.35 + 3.48

10 + 3.48

13.48 would be the simplified answer.

Answer:

um i put 13.48 and got it right

Step-by-step explanation:

One number is two-thirds of another number. The sum of the numbers is 55.​

Answers

Answer:

bl

Step-by-step explanation:

Which operation has to be calculated first in this expression?
7 – (4 + 5)

Answers

Answer:

Addition

Step-by-step explanation:

You should add 4 and 5 first because of PEMDAS.

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Since 4+5 is in parentheses it should be done first.

Answer:

Addition

Step-by-step explanation:

This the answer because:

1) First, we have to know the Order of Operations

2) An easy way of remembering this is PEMDAS or GEMS

PEMDAS : Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction

GEMS : Grouping (Parenthesis), Exponents, Multiplication and Division (whichever one comes first from left to right), Addition and Subtraction (whichever one comes first from left to right)

3) In this expression, parenthesis would be first because that's what comes first in the order of operations

4) Inside the parenthesis is another expression where you need to add. Therefore, the answer is addition

Hope this helps!

Which equation would you use to find x?

Answers

You would use B to find X

It’s suppose to be reduced in improper fractions ‍♀️

3(x-5)/2 = 2(x+5)/3

Answers

Answer:

13.

Step-by-step explanation:

Cross multiply:  [tex]\frac{3x-15}{2}=\frac{2x+10}{3}[/tex]

Remove the brackets: 3(3x-15) = 2(2x+10)

Move the terms: 9x-45 = 4x+20

Collect like terms and calculate: 9x-4x=20+45

Divide both sides: 5x = 65

47.469 rounded to the nearest foot

Answers

Answer: 47 ft

Step-by-step explanation:

a recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla.how many batches can you make with 15 cups of flour and 6 teaspoons of vanilla?

Answers

Answer:

hjgvv,v

Step-by-step explanation:

Answer:

You can make 3 batches of cookies

Step-by-step explanation:

15 divided by 5 is 3

6 divided by 2 is 3

Therefore, 3 batches of cookies can be made

10. The area of a square lot is 900 square meters. What is the perimeter of the tot, in maters?

Answers

Answer: 9000

Step-by-step explanation:

PLEASE HELP THIS IS THE LAST QUESTION AND I WANT TO GO TO BED. PLEASE EXPLAIN SO I CAN DO IT FOR NEXT TIME AS WELL

Answers

15+70+45=130 :)) that’s how u calculate the perimeter just add them all together.

I need help to make it positive

Answers

Answer:

  -8c^4/m^3

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  a^-b = 1/a^b

__

  [tex](-2)^3\cdot(c^{-2})^{-2}\cdot m^{-6}=-8\cdot c^{(-2)(-2)}\cdot m^{-3}\\\\=\boxed{\dfrac{-8c^4}{m^3}}[/tex]

If mZA = (8x + 6)° and m
ZB = (7x + 24)', then find the measure of ZB

Answers

i got x=18 i think u mistaken za for zb

Help me please!!! Find the distance between the points (-3,-1) and (5,-1)

Answers

Answer:

D = 8

Step-by-step explanation:

[tex]d= \sqrt{(5-(-3))^2+(-1-(-1))^2} \\d= \sqrt{(8)^2+(0)^2} \\d= \sqrt{64+0} \\d= \sqrt{64} \\d= 8[/tex]

PLEASE HELP ME
Factor the common factor out of each expression
2) 7b + 28b

Answers

7b(1 + 4)

The 7b is shared between the two numbers, so factor it out

Evaluate 12 - 6+ (14 – 8)^2=
. (1 point)

Answers

Answer:

the answer is 42

Step-by-step explanation:

12-6+(14-8)^2

12-6(6)^2

12-6+36

=42

Determine if the sequence is arithmetic 28,26,24,22,...

Answers

Answer: yes it is

Step-by-step explanation:

Common difference -2

The sequence 28,26,24,22,... is arithmetic because it’s a pattern. The order of operational value is being subtracted from the previous number two units each time.
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