the larger of two numbers is 4 more than the smaller the sum of the two numbers is 74

Answer:

Angle EFG = 104 degrees

Angle GFH = 76 degrees

Step-by-step explanation:

Angle EFG and Angle GFH are a linear pair, which means that they add up to 180 degrees.

Angle EFG = 4n + 20 and Angle GFH = 2n + 34, so 4n + 20 + 2n + 34 = 180.

We can then combine like terms, getting 6n + 54 = 180.

Then, we can subtract both sides by 54, getting 6n = 126.

Lastly, we can divide both sides by 6, getting n = 21.

EDIT - solve for EFG and GFH:

Angle EFG = 4n + 20 = 4(21) + 20 = 104 degrees

Angle GFH = 2n + 34 = 2(21) + 34 = 76 degrees

Answer:

∠EFG = 104°

∠GFH = 76°

Step-by-step explanation:

∠EFG + ∠GFH = 180

(4n + 20) + (2n + 34) = 180

6n + 54 = 180

6n = 180 -54

n = 126 / 6

n = 21

plug in values to ∠EFG

∠EFG = 4(21) + 20

∠EFG = 104°

plug in values to ∠GFH

∠GFH = 2(21) + 34

∠GFH = 76°

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

A square is a quadrilateral that has the same length on every side.

The area of the garden is 196 square feet. To find the area of a garden, you have to multiply the length times the width. Since you know that both widths are the same, you can simply just calculate the square root of 196. The square root of 196 is 14. So you know that one side is 14 feet in length.

Now you will need to find the perimeter. The perimeter of any polygon is the lengths of all sides added up. Since there are 4 sides on a square, and each side is the same length, you can just add 14, 4 times. 14+14+14+14 equals 56. So the perimeter of the garden is 56 feet.

Hannah will need 56 feet of fencing.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

she needs to put 56 feet of fencing materials around ground

A quadrilateral which has four equal sides and four equal angles is known as a square.

According to the question,

To find the fencing material means to calculate the length around the square garden, or the perimeter of the square shaped garden.

Area , A is given as 196  square feet.

Formula for Area of a square (A )= Side × side

196 = side × side

This can be written as  

Side × Side  = 196

 [tex]side^{2}[/tex] = 196

Take the square root of both sides,

[tex]\sqrt{side^{2} }[/tex]  = [tex]\sqrt{196}[/tex]

side = 14 feet

The perimeter of a square can be calculated, P = 4(s), because all the four

sides are equal

P = 4 × side

   = 4 × 14

   = 56 feet

Hence, she needs 56 feet of fencing materials.

To learn more about square ground from here

https://brainly.in/question/14831611

#SPJ2

Answer:

65

Step-by-step explanation:

c^2-b^2=a^2

Answer: Segmented and side-by-side bar graphs summarize the data distribution for two or more categorical variables.

Segmented and side-by-side bar graphs can summarize conditional relative frequencies.

Answer:

ANSWERS ARE B & C

B. Segmented and side-by-side bar graphs summarize the data distribution for two or more categorical variables

C. Segmented and side-by-side bar graphs can summarize conditional relative frequencies.

Step-by-step explanation:

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

The computation of the fraction of her overall lawn remaining unmowed is shown below:

Let us assume that the back lawn be x

So the front lawn would be

[tex]= \frac{1}{3}\times x\\\\ = \frac{x}{3}[/tex]

So, the total lawn is  ................... (i)

[tex]= x + \frac{x}{3}\\\\ = \frac{4x}{3}[/tex]

The back lawn mowed is [tex]\frac{2x}{3}[/tex]

Front lawn moved is [tex]\frac{x}{6}[/tex]

So, the total mowed is ....................(ii)

[tex]= \frac{2x}{3} + \frac{x}{6}\\\\ = \frac{5x}{6}[/tex]

So, the total unmowed is

[tex]= \frac{4x}{3} - \frac{5x}{6} \\\\= \frac{x}{2}[/tex]

Now the fraction is

[tex]= \frac{x}{2} \times \frac{3}{4x} \\\\ = \frac{3}{8}[/tex]

The fraction of the entire lawn unmoved is 3 / 8

The fraction is defined as the division of the whole part into an equal number of parts. The computation of the fraction of her overall lawn remaining unmowed is shown below:

Let us assume that the back lawn is x

So the front lawn would be

[tex]=\dfrac{1}{3}\times x[/tex]

[tex]=\dfrac{4x}{3}[/tex]

So, the total lawn is  ................... (i)

[tex]=x+\dfrac{x}{3}[/tex]

The back lawn mowed is

The front lawn moved is

So, the total mowed is ....................(ii)

[tex]=\dfrac{2x}{3}+\dfrac{x}{6}[/tex]

[tex]=\dfrac{5x}{6}[/tex]

So, the total unmowed is

[tex]=\dfrac{4x}{3}-\dfrac{5x}{6}[/tex]

[tex]=\dfrac{x}{2}[/tex]

Now the fraction is

[tex]=\dfrac{x}{2}\times \dfrac{3}{4x}[/tex]

[tex]=\dfrac{3}{8}[/tex]

Therefore the fraction of the entire lawn unmoved is 3 / 8

To know more about fractions follow

https://brainly.com/question/78672

#SPJ5

The answer is

2^6(1-3n)×2^4(3n-3)=2^6(-3n-3).

2^(6-18n)×2^(12n-12)=2^(-18n-18).

(6-18n)×(12n-12)=(-18n-18).

6-18n×12n-12=18n-18.

6-12×-18n-12n=18n-18

-6×-30n=18n-18.

-6×18=-18+30

-108=48n.

n= -108/48.

n=-2.25.

Answer:

Yes, I think so!

Step-by-step explanation:

3*3=9

4*2=8

So i will be 9/8

Hope this helps!

(pls mark brainiest!)

Answer:

I forgot about this app

Answer

So changing 1/4 by multiplying top and bottom by 9 gives 9/36 and changing 2/9 by multiplying top and bottom by 4/4 gives 8/36 and adding 9/36 to 8/36 gives 17/36 - a rational number.

Step-by-step explanation:

Answer:

[tex] \sqrt{5} [/tex]

Step-by-step explanation:

decimal repeats without a pattern

Answer:

The percentage increase of the production expectation to 1 decimal place is 178.6%

Step-by-step explanation:

Here in this question, we are interested in finding the percentage increase in the production capacity of the hypothetical company;

We can make or have a formula for this to make our workings easier;

% increase = (new value - old value)/old value * 100%

From the question;

The old value is the former productive capacity which is 1.4 million

The new productive capacity is 3.9 million

Thus;

The percentage increase in the production capacity would be;

(3.9 million - 1.4 million)/1.4 million * 100%

= 2.5 million/1.4 million * 100% = 178.57%

But the question asks we should have our answer in one decimal place;

Thus; 178.57% becomes 178.6%

Answer:

3.33

Step-by-step explanation:

3.45

- 0.12

______

3.33

Answer:

I think the answer is 59

Step-by-step explanation:

6p+5

6(9)+5

54+5=59

Answer:

C with points A and B on the line

The diagram that supports the postulate is line option (c).

Lines and points are both undefined terms in geometry.

The given postulate states that;

Exactly one line exists between any two points.

This means that the line must pass through the two points.

From the given options, Only option (c) is true because the line passes through points A and B.

Hence, the diagram that supports the postulate is line option (c).

Read more about points and lines at:

brainly.com/question/15212542

#SPJ5

Answer:

Step-by-step explanation: all yu need to do is plug in each number option you have to replace in for until you get what it equals aka 4

for ex.

18/3-2=4 so that means 18 is your answer

Answer:

Step-by-step explanation:

In algebra, there is always an orderly progression of steps. Once we get an answer for the value of x, we must test it in the original question to make sure it is correct.

n/3 × 3 = 6 × 3

n = 18

18/3 - 2 = 4

6 - 2 = 4

4 = 4 ✓

Answer: 3/2

Step-by-step explanation:

1 3/4 ÷ 1 1/6

STEP 1. convert into improper fraction

1 3/4=7/4

1 1/6=7/6

--------------------------------------------

STEP 2. to the operation

 1 3/4 ÷ 1 1/6

=7/4 ÷ 7/6

=7/4 × 6/7

=6/4

=3/2

Hope this helps!! :)

Please let me know if you have any question

Answer:

1.5

Step-by-step explanation:

First find 1 3/4 and 1 1/6 as an improper fraction. 1 3/4 = 7/4 because 1 times 4 plus three. 1 1/6 = 7/6 because 1 times 6 plus 1, so now you have 7/4 divided by 7/6. You change 7/6 to it's reciprocal, which is 6/7. Now it's like multiplication with fractions. 7*6=42. 4*7=28, so it's 42/28.

Now we want to simplify. It can be simplified to 1 1/2, which is also 1.5. Hope this helps.

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

Explanation:

If you draw out the diagram, then you'll find that a 45-45-90 triangle forms. The nice thing about this type of triangle is that the two legs are always the same length. The horizontal leg is 100 meters, so the vertical leg must also be 100 meters.

Side note: this type of triangle is an isosceles right triangle.

---------

You could use the tangent rule to get the same thing

tan(angle) = opposite/adjacent

tan(45) = 100/x

1 = 100/x

1*x = 100

x = 100

In this case, the opposite leg is the vertical leg since it is furthest from the angle of elevation.

Answer:

[tex]\Huge \boxed{\mathrm{100 \ meters}}[/tex]

Step-by-step explanation:

The base of the right triangle created is 100 meters.

The angle between the base and the hypotenuse of the right triangle is 45 degrees.

We can use trigonometric functions to solve for the height of the tower.

[tex]\displaystyle \mathrm{tan(\theta) = \frac{opposite }{adjacent} }[/tex]

[tex]\displaystyle \mathrm{tan(45) }= \frac{x }{100}[/tex]

Multiplying both sides by 100.

[tex]\displaystyle \mathrm{100 \cdot tan(45) }= x[/tex]

[tex]\displaystyle \mathrm{100 }= x[/tex]

The height of the tower is 100 meters.

Answer:

t = 13.2 s

Step-by-step explanation:

Given that,

An athlete ran the 100 meter sprint in 13.245 seconds. We need to round off the time to the nearest tenth.

Here, t = 13.245 s

In order to round off to the nearest tenth, thousandths place and hundredth place gets eliminated.

So, t = 13.2 s

So, time is 13.2 seconds.

Answer: 13.2

Step-by-step explanation: hope you made it

Answer:

A length of 5 and a perimeter of 20

Step-by-step explanation:

Personally, I'm lactose intolerant so I wouldn't take any Cheez-Its, but oh well.

Everyone wants the most Cheez-its, right? So we need to find the rectangle with the greatest area.

Let's look at the first one, a rectangle with a length of 9 and a perimeter of 22.

The perimeter of a rectangle can be expressed as [tex]2l+2w[/tex], where l is the length and w is the width.

We know the length and area, so let's solve for w (the width).

[tex]2\cdot9+2w=22\\\\18+2w=22\\\\2w=4\\\\w=2[/tex]

So the width is 2. The area of a rectangle is the length times the width.

[tex]9\cdot2=18[/tex]

So the first rectangle has an area of 18.

Using the same concept for the second statement, a length of 5 and a perimeter of 20, we can find the area.

[tex]2l+2w=20\\\\2\cdot5+2w=20\\\\10+2w=20\\\\2w=10\\\\w=5\\\\5\cdot5=25[/tex]

So the area of the second one is 25.

The greatest area is 25, so you'd want this one.

Hope this helped!

Answer:

The second one

Step-by-step explanation:

yaaaaaaaa

Answer:

154

Step-by-step explanation:

To find the percentage, we can set up a percentage proportion, where x is 7% of 2200.

[tex]\frac{x}{2200} = \frac{7}{100}[/tex].

Now we can cross multiply to find the value of x.

[tex]2200\cdot7=15400\\\\15400\div100=154[/tex]

Hope this helped!

Answer:

11

Step-by-step explanation:

|1 - 12| = |-11| = 11

Answer:

11

Step-by-step explanation:

Answer: Supplementary, 3 and 2, substitution, 2.

Step-by-step explanation: just did it .

The ∠1 is congruent to ∠3 by definition of congruency.

An angle is formed from the intersection of two lines. Types of angles are acute, obtuse and scalene.

m∠1 + m∠2 = 180°  (given)

m∠2 + m∠3 = 180°  (given)

Hence:

m∠1 + m∠2  = m∠2 + m∠3  (equality property)

Subtract m∠2 from both sides to get:

m∠1  = m∠3

The ∠1 is congruent to ∠3 by definition of congruency.

Find out more on angle at: https://brainly.com/question/25770607

Step-by-step explanation:

A playing card is in the form of a rectangle whose perimeter is equal to 28 cm and area is 45 cm².

If l and b are length and breadth of the rectangle.

Area,

[tex]A=lb[/tex]

[tex]45=lb\\\\l=\dfrac{45}{b}\ .....(1)[/tex]

Perimeter,

[tex]P=2(l+b)\\\\28=2(l+b)\\\\14=(l+b)\ ....(2)[/tex]

Put the value of l from equation (1) to equation (2). So,

[tex]14=\dfrac{45}{b}+b\\\\14=\dfrac{45+b^2}{b}\\\\14b=45+b^2\\\\b^2-14b+45=0\\\\b^2-9b-5b+45=0\\\\b(b-9)-5(b-9)=0\\\\b=5\ cm, 9\ cm[/tex]

Put the value of b in equation (1),

If b = 5 cm

[tex]l=\dfrac{45}{5}=9\ cm[/tex]

If b = 9 cm

[tex]l=\dfrac{45}{9}=5\ cm[/tex]

So, the dimensions of the playing card is 9 cm by 5 cm.

Answer:

the height of the candle before it is lit

Step-by-step explanation:

When the candle is first lit, time is 0.

At tome 0, x = 0 and the height is -0.25(0) + 5 = 5.

The height is 0 at time zero, so the constant term, 5, represents the height of the candle before it is lit.

Answer: The answer is the top right question

Step-by-step explanation:

Answer:

the awnser is the top right one

Step-by-step explanation:

if you look at the x and y and look at the chart it says x 2 y 1 the first point is on x 2 and on y 1 and i did the test awnser was right

Answer:it would be 1385

Step-by-step explanation:because 850 miles per hour converted into meter per min would be 22799.04 meters per sec and then u would Find the number in the whole number place

4

and look one place to the right for the rounding digit on the right side of the decimal point

7

.Round up if this number is greater than or equal to

5

and round down if it is less than

5

1385

The speed in meters per minute is 22799.

Given that,

Based on the above information, the calculation is as follows:

We know that

1 miles per hour = 26.822 meters per minute

So for 850 it should be 22799.

Learn more: https://brainly.com/question/17429689?referrer=searchResults