as shown, several parallelograms are formed in an expandable gate. The angles of the parallelograms change as the gate is expanded and compressed. Find m

As Shown, Several Parallelograms Are Formed In An Expandable Gate. The Angles Of The Parallelograms Change

Answers

Answer 1

Answer:

m = 145

Step-by-step explanation:

All angles inside a parallelogram = 360

∠ABC = ∠ADC

35 = ∠ADC

360 = 2(∠ABC) + 2( ∠DAB)

360 = 70 + 2( ∠DAB)

290 = 2( ∠DAB)

145 = ∠DAB

Answer 2

The adjacent angle of the parallelogram are supplementary angles. If the angle ∠ABC is 35°. Then the angle ∠DAB will be 145°.

What is a parallelogram?

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides and angles are parallel and equal.

In the parallelogram ABCD, the angle ∠ABC is 35°.

We know that adjacent angle of the parallelogram are supplementary angles.

∠ABC + ∠DAB = 180°

35° + ∠DAB = 180°

∠DAB = 180° – 35°

∠DAB = 145°

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Related Questions

Write the equation in standard form:
y + 5 = - (x + 3)

Answers

Answer:

x + y = -8

Step-by-step explanation:

Solve - 2x - 15 = 6x + 9.

01) 3

2) -3

3) -1

4) 6

Answers

Answer:

the answer is the second one

Step-by-step explanation:

hoped I helped:)

What kind of triangle is this?

Answers

Answer:

acute

Step-by-step explanation:

all the angles are below 90 degrees

Answer:

ACUTE IS THE KIND OF TRIANGLE I SEE

Step-by-step explanation:

I HOPE IT HELPS :)

pweez help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A, B, C

Step-by-step explanation:

Original Equation: 5x=45

Dividing by 5 on both sides: 5x/5 = 45/5

The result: x=9

Check: 5(9)=45, 45 = 45.

Thus, the correct order of steps should be A, B, C.

Let me know if this helps!

16q3-48q2+32q what would be the steps on how to do this? please?​

Answers

Answer:

Its nothing complicated, you just have to combine all the like terms, just make sure the lvariables are the same before combining of course.

so assuming the gaps missng are exponents

the solution is the same exact thing

it can’t be simplified anymore since 16q^3 or -48q^2 can’t due to different exponents which thefore can’t combine

same with 32 q, nothing combines

The answer is the original expression

[tex]-4 ( x + 1/16 )[/tex]

Answers

Answer:

-4x - 1/4

Step-by-step explanation:

-4(x + 1/16)

-4x - 1/4

What is the value of q in the solution to this system of equations?
2m - 5q= 8
4m + 2q = 64

Answers

Answer: I’m guessing 9

Step-by-step explanation:

fvccckkk school lol

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

2m - 5q = 8

4m + 2q = 64

The value of q in the solution to the equations is 4.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 4 is an equation.

2X = 4 is an equation.

We have,

2m - 5q = 8 ____(1)

4m + 2q = 64 _____(2)

From (1) we get,

2m = 8 + 5q

Divide both sides by 2.

m = (8 + 5q)/2 ______(3)

Now,

Putting (3) in (2) we get,

4m + 2q = 64

4/2 (8 + 5q) + 2q = 64

2 (8 + 5q) + 2q = 64

16 + 10q + 2q = 64

16 + 12q = 64

12q = 64 - 16

q = 48/12

q = 4

Now,

q = 4 in (3) we get,

m = (8 + 5q) / 2

m = (8 + 5 x 4) / 2

m = (8 + 20) / 2

m = 28 / 2

m = 14

Thus,

The value of q in the solution to the equations is 4.

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Find the slope of the line.
*

Answers

the answer is 2 i think

Which fraction is equivalent 5/20?

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

5/20

divide both sides of the fraction by 5

5/5 = 1

20/5 = 4

1/4

What is the 27th term in this arithmetic sequence 59, 56, 53, 50, ...

Answers

Answer:

2

Step-by-step explanation:

All u need to do, is subtract 3, until u get to the 20th sequence.

59, 56, 53, 50, 47, 44, 41, 38, 35, 32, 29, 26, 23, 20, 17, 14, 11, 8, 5, 2

Solve the inequality 5(x + 1) > 50

Answers

Answer:

Step-by-step explanation:

Here you go mate

∴Use PEMDAS

Parenthesis,Exponent,multiplication,Division,Addition,Subtraction

Step 1

5(x+1)>50  Equation/Question

Step 2

5(x+1)>50  Remove parenthesis

5x+5>50

Step 3

5x+5>50  Subtract 5 from sides

5x>45

Step 4

5x>45  Divide sides by 5

Answer

x>9

Hope this helps

Answer:

Step-by-step explanation:

I can help

Step 1

5(x + 1) > 50  Simplifying

Step 2

5(x + 1) > 50   Remove the parenthesis by dividing both sides by 5

x+1>10

Step 3

x+1>10  Subtract 1 from both sides

x+1-1>10-1

Answer

x>9

Hope this helps

The bakers at
Good-For-You Bakery can
make 500 bagels in 2
hours. How many bagels
can they bake in 14
hours? What was that rate
per hour?

Answers

Answer:

Rate: 250 bagels per hour

3500 bagels in 14 hours

Step-by-step explanation:

Ginny buys 7 magazines for 2.80 how much does 1 cost?
How much does do 5 magazine cost?

Answers

Answer:

one costs 0.40 and 5 cost 2.00

Step-by-step explanation:

bc 2.80/7 = 0.40

0.40 times 5 = 2.00

1, 4/3,16/9
Find the 9th term.

Answers

Answer:

The 9th term of the sequence is:

[tex]a_9=\frac{65536}{6561}[/tex]

Step-by-step explanation:

Given the sequence

1, 4/3,16/9

computing the ratios of all the adjacent terms

[tex]\frac{\frac{4}{3}}{1}=\frac{4}{3},\:\quad \frac{\frac{16}{9}}{\frac{4}{3}}=\frac{4}{3}[/tex]

The difference between all the adjacent terms is the same and equal to

[tex]r=\frac{4}{3}[/tex]

A geometric sequence has a constant ratio 'r' and is defined by

[tex]a_n=a_1\cdot r^{n-1}[/tex]

As

[tex]a_1=1[/tex][tex]r=\frac{4}{3}[/tex]

so substituting [tex]a_1=1[/tex] and [tex]r=\frac{4}{3}[/tex] in the nth term of the equation

[tex]a_n=a_1\cdot r^{n-1}[/tex]

[tex]a_n=\left(\frac{4}{3}\right)^{n-1}[/tex]

Now, substitute n = 9 to determine the 9th term

[tex]a_9=\left(\frac{4}{3}\right)^{9-1}[/tex]

[tex]a_9=\left(\frac{4}{3}\right)^8[/tex]

[tex]a_9=\frac{4^8}{3^8}[/tex]

[tex]a_9=\frac{65536}{6561}[/tex]

Therefore, the 9th term of the sequence is:

[tex]a_9=\frac{65536}{6561}[/tex]

Use the function c=r+6 to find the value of c when r=10. c=

Answers

Answer:

c=16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

c = r+6

If r = 10 then,

c = 10+6

c = 16

please help I'm so confused pls​

Answers

N-35/6=43/9
N=43/9+55/6
N=110+105/18
N=215/18=11.9=12

MK = 24, JL = 20, and m

The quadrilateral below is a rhombus. Find the missing measures. Any decimal answers should be rounded to the nearest tenth.


NK =

m

NL =

m

ML =

m

JM =

m

m

Answers

Answer:

The answer is below

Step-by-step explanation:

If the quadrilateral below is a rhombus, find the missing measures.

MK = 24, JL = 20, and mZMJL = 50°

Solution:

A rhombus is a quadrilateral (has four sides and four angles) such that all the sides are of equal length.

The diagonals of a rhombus bisect each other.

NK = MK / 2 (diagonals of a rhombus bisect each other)

NK = 24 / 2 = 12

NL = JL / 2 (diagonals of a rhombus bisect each other)

NL = 20 / 2 = 10

In triangle MNL, ∠N = 90°

MN = NK = 12 , NL = 10. Using Pythagorean theorem:

ML² = MN² + NL²

ML² = 12² + 10²

ML² = 244

ML = √244

ML = 2√61 = 15.62

JM = ML  = 15.62 (all sides of a rhombus are equal)

∠KNL = 90° (diagonals are perpendicular bisectors)

∠KJL = ∠MJL (diagonals bisect angles)

∠KJL = 50°

∠MJK = ∠KJL + ∠MJL = 50 + 50 = 100°

∠MJK = ∠MLK (opposite angles are equal)

∠MLK = 100°

∠NJK + ∠JNK + ∠JKM = 180° (sum of angles in triangle)

50 + 90 + ∠JKM = 180

∠JKM = 40°

∠JKL = 2 * ∠JKM (diagonal bisect angle)

∠JKL = 2 * 40

∠JKL = 80°

∠JKL = ∠JML (opposite angles are equal)

∠JML = 80°

Melanie is buying soft drink cans for the work fridge. In the shopping catalogue, she sees a 10 can
pack for $6.00 and a 24 can pack for $15.96. Which is the cheapest way for Melanie to buy the soft
drink? Show all working

Answers

If you buy the 10-pack you pay 60 cents per can ($6.00 / 10 cans = .60/can). If you buy the 24-pack, you pay more than 66 cents per can ($15.96 / 24 cans = .665/can). So it is cheaper to buy the 10-pack (60 cents vs. 66 cents for each can)

Help me please... I have a lot more things to do and I wanna get this done.

Answers

Answer:

-6

Step-by-step explanation:

count

Answer:

-6

Step-by-step explanation:

each dash on the line changed by one. So i you go down, you subtract 1, and if you go up, you add 1.

My spanish teacher just embarrassed me in front of everyone. How is everyone else doing?

Answers

Answer:

Don't wanna do math :(

Step-by-step explanation:

x(y - 4)
I’m very bad at this

Answers

Answer: That would be xy−4x <3 hope it helps

Step-by-step explanation: all u have to do is multiply the polynomials

pls dont say random stuff to get points

Answers

Answer:

C) 3 1/4

Step-by-step explanation:

The ratio of males to females at a party is 3 : 5

There are 12 more females than males.

How many people are at the party?

Answers

if there are 12 more females and the ratio is two up in favour of females that means that 1 equals to 6, so there are 30 females and 18 males. (30 + 18 = 48)

Answer:

48

Step-by-step explanation:

Given ratio of males to females at a party is 3 : 5.

Let the numbers of males and females be 3x and 5x respectively.

According to the given description:

No of females = No of males + 13

Therefore,

5x = 3x + 12

5x - 3x = 12

2x = 12

x = 12/2

x = 6

No of people at the party

= 3x + 5x

= 8x

= 8*6

= 48

ryan wants to buy a sweatshirt for $42.99. The sale tax rate in his city is 7 1/2% what is the total cost for the sweatshirt? round your answer to the nearest cent.

Answers

Answer:

Step-by-step explanation: Answer:46.21

Step-by-step explanation:t/42.99 = 7.5/100.

Butterfly method

42.99 x 7.5 = 322.42 divided by 100= 3.22 plus 42.99 = 46.21etc

The total cost for the sweatshirt is $46.21.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Ryan wants to buy a sweatshirt for $42.99.

The sale tax rate in his city is 7[tex]\frac{1}{2}[/tex]%.

Converting mixed fraction to improper fraction,

7[tex]\frac{1}{2}[/tex] = 15/2

Let n + 42.99 be the total cost of the sweatshirt.

n = 15/2 x 42.99 / 100

n = 322.425 / 100

n = 3.22

n + 42.99 = 46.21  to the nearest cent.

Therefore, the cost with sales tax is $46.21.

To learn more about the percentage;

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72/8=?/1 i need help

Answers

Answer:

1/9

Step-by-step explanation:

hope this helps <3

mark me brainliest thanks <3

That would be 9.

Replace ? With x.
72/8=x/1 Cross Multiply
72=8x Divide both sides
9=x

which of the following numbers is irrational

Answers

Answer:

E

Step-by-step explanation:

Irrational means cannot be put into a fraction. Or random repeating decimals is how I remember it.

√48 can be simplified to equal 4√3. √3 cannot be put into fraction form.

theres 2 questions and an image provided
1. if a= 6 and b=2 them what does a^b equal
2. according to the graph, which of these is true?
a. the later the day it is, the hotter it is
b. temperature goes up and then down during the day
c. temperature is always lowest in the evening
d. temperature decreases when it rains

Answers

Answer:

8). 36

10). Option 2

Step-by-step explanation:

8). If a = 6 and b = 2

   Then [tex]a^{b}=6^{2}[/tex]

                 = 36

10). This graph has two parts.

   First part shows the increase in the temperature with time in the morning.

   Second part shows the decrease in the temperature in the evening.

   So the graph represents the rise in temperature then down during the day.

   Option 2 is the correct option.

Need someone to help with this, Please and thanks

Answers

its 17 a, -4 b, 1 c, and -2 d

a = 4

b = -3

c = 8

d = 29

hope it's helpful ❤❤❤❤

THANK YOU.

PLEASE HELP DUE IN 5 MIN... Carson has a smart phone data plan that costs $40 per month that includes 2 GB of data, but will charge an extra $10 per GB over the included amount. How much would Carson have to pay in a month where he used 3 GB over the limit? How much would Carson have to pay in a month where he used went over by xx GB?

Answers

Answer:

a. $70

b. $(40 + 10x)

Step-by-step explanation:

The standard cost of the charges is $40 per month but an extra $10 per GB over the included amount.

a. Firstly the cost for a month in which he uses 3GB over the limit

we have a standard of $40, then he has to pay $10 per GB for the 3GB over the limit.

Thus the cost of the 3GB is $10 * 3 = $30

The total cost for using 3GB above the limit would be $40 + $30 = $70

b. For using x GB above the limit

He has to pay $10 per each GB above the limit

Thus, the amount to be paid for x GB above the limit would be x * $10 = $10x

So the total amount to be paid would be the base fee plus over the limit fee= $(40 + 10x)

For each system of equations, drag the true statement about its solution set to
the box under the system. Need help ASAP please!

Answers

The first one is zero solution because 6x+3 will never be 6x-3 and the second one is one soupy toon because 6x+3=2x+1 equals one solution
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