Find the value of x in the parallelogram.

63º

Answers

Answer 1

Answer:114Step-

Step-by-step explanation:

Answer: x = 114Step-by-step explanation:Angle A is equivalent to angle D because of the properties of parallelograms. So we know angle A is 66 degrees. Angles C and B also have the same measure because they are opposite angles. The sum of all four angle measures is 360 degrees. Therefore, you can write this equation:m<A + m<B + m<C + m<D = 360 Step 1) plug in the degree measure of each angle that you know. (I will represent angle C with “x”)66 + m<B + x + 66 = 360(We know that the m<B is the same as m<C, so we can plug in “x” for m<B)66 + x + x + 66 = 360(x + x is the same as 2x)66 + 2x + 66 = 360(66 + 66 = 132)132 + 2x = 360Step 2) solve for x by continuing with this equation: 132 + 2x = 360(Subtract 132 from both sides)2x = 228(Divide by 2 on both sides)x = 228/2(228/2 equals 114)x = 114Check:Add all four angle measures. It should add up to 360.66 + 114 + 114 + 66180 + 114 + 66294 + 66360Yay it worked! FYI: the angles that are across from each other in a parallelogram are always congruent. The sides that are opposite (across from) each other are also congruent. All 4 angles in a parallelogram will add up to 360 degrees. This info will help when you’re solving for the sides or angles of a parallelogram. Good luck!


Related Questions

What’s x…………………,::::

Answers

Answer:

25

Step-by-step explanation:

The sum of all of the angles inside of a triangle is 180 degrees. That means we know that:

[tex](x+26)+(x+14)+(4x-10)=180[/tex]

We can then combine like terms:

[tex]6x+30=180[/tex]

We want to get 6x alone, so we can subtract 30 from both sides:

[tex]6x=150[/tex]

Then we want to get x alone, so we can divide both sides by 6:

[tex]x=25[/tex]

Now we know that x is 25.

Graph this line using the slope and y-intercept:
y=1/10x

Answers

Go up 1 and to the side 10
Rise over run

Is 3/4 less then or greater than 1 whole

Answers

Answer:

less

Step-by-step explanation:

3/4 = 0.75

1/4 = 0.25

0.25*3 = 0.75

or

3/4 = 75%

1/4 = 25%

0.25*3 = 75%

Answer:

Less

Step-by-step explanation:

Fractions are proportions written using division. They are not whole numbers.

Proper Fractions

3/4 is less than 1 whole because it is a proper fraction. A proper fraction is a fraction that has a numerator that is smaller than the denominator. Remember that the numerator is the top number and the denominator is the bottom number. All proper fractions are less than 1. It is important to understand proper fractions in this question because improper fractions and mixed fractions are greater than 1.

This specific question asks about 3/4, which is 1/4 less than 1 whole.

Solve angle X to 1 dp

Answers

Answer:

x ≈ 57.8°

Step-by-step explanation:

using the Sine rule in the triangle

[tex]\frac{11}{sinx}[/tex] = [tex]\frac{8}{sin38}[/tex] ( cross- multiply )

8 × sinx = 11 × sin38° ( divide both sides by 8 )

sinx = [tex]\frac{11sin38}{8}[/tex] , then

x = [tex]sin^{-1}[/tex] ( [tex]\frac{11sin38}{8}[/tex] ) ≈ 57.8° ( to 1 dec. place )

On Wednesday, a local hamburger shop sold a combined total of 339 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold?

Answers

Answer:

113

Step-by-step explanation:

c/b(cheeseburger)-2x

h/b(hamburgers)-x

2x+x=339

3x=339(divide both sides by 3)

x=113

339 divided by 3 = 113. 113 times 2 is 226 which is how many cheeseburgers there are. Then you do 339 minus 226 and get 113. The answer is 113 hamburgers were sold.

This diagram shows a park's walking path in the shaded area. The outside circumference of the walking path is 50.24 meters and the inside circumference of the walking path is 25.12 meters. What is the area of this walking path? Use 3.14 for π. Enter your answer as a decimal in the box. m²

Answers

Answer:

The answer is 24.78 m^2

Step-by-step explanation:

I did the test

The outside circumference of the walking path is 50.24 meters and the inside circumference of the walking path is 25.12 meters then the area of the walking path is 150.72 m²

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The formula for circumference of circle is 2πr

The area of circle is πr²

Area of large circle

Given:

circumference = 50.24 m

50.24 = 2 × 3.14 × r

r = 8 m

Therefore Area = 3.14 × 8²

= 200.96 m²

Area of small circle

Given circumference = 25.12 m

⇒ 25.12 = 2 × 3.14 × r

⇒ r = 4 m

Therefore Area = 3.14 × 4²

= 50.24 m²

Area of shaded path area = area of large circle - area of small circle

= 200.96 - 50.24

= 150.72 m²

Hence,  the area of the walking path is 150.72 m²

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How do I divide fraction or mixed numbers.

Answers

AnTo divide mixed numbers Change each mixed number to an improper fraction.

Multiply by the reciprocal of the divisor, simplifying if possible.

Put answer in lowest terms.

Check to be sure the answer makes sense.

Step-by-step explanation:

Answer:

If u have mixed fractions, like [tex]3\frac{1}{2}[/tex], you will have to change it to improper fraction([tex]\frac{7}{2}[/tex]) to divide with ease.

let's give an example of how to divide fractions.

1. [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex]

Now, you will invert the numbers on the right side, and that will cause the division sign to change into multiplication sign.

[tex]\frac{2}{3} / \frac{1}{3} \\\\\frac{2}{3} X \frac{3}{1}\\\\2[/tex]

2. let's have another example:

[tex]2\frac{1}{3} / 3\frac{1}{2}\\\\\frac{7}{3} / \frac{7}{2} \\\\\frac{7}{3} X \frac{2}{7} \\\\\frac{2}{3}[/tex]

A concession stand at a baseball game sells 3 apples for $2.00. HHow can you find the cost for 10 Apples?


A. Solve the proportion 3/2 = x/10

B. Solve the proportion 2/3 = 10/x

C. Solve the proportion 3/2 = 10/x

D. Solve the proportion 3/x = 2/10

Answers

Answer:

c. 3/2=10/x

Step-by-step explanation:

in a proportion, you want the same category of values in the same position. For example, the number of apples goes on top in each of the fractions, and the cost goes on the bottom. then solve for x.

Given f (x) = 2x + 3 and g(x) = x2 – 5x + 6, compute (fog)(x) =

Answers

Answer:

(fog)(x) = 2x² - 10x + 15

Step-by-step explanation:

(fog)(x) is called a composite function, where x in f(x) substituted by g(x).The range of g(x) is the domain of f(x)

Let us solve our question

∵ f(x) = 2x + 3

∵ g(x) = x² - 5x + 6

→ We need to compute (fog)(x)

∴ Substitute x in f(x) by g(x)

∵ (fog)(x) = 2(x² - 5x + 6) + 3

→ Multiply the bracket by 2

∵ 2(x² - 5x + 6) = 2(x²) - 2(5x) + 2(6)

∴ 2(x² - 5x + 6) = 2x² - 10x + 12

→ Substitute it in the composite function above

∴ (fog)(x) = 2x² - 10x + 12 + 3

→ Add the like terms 12 and 3

∴  (fog)(x) = 2x² - 10x + 15

A square has a side length of 1.2 feet. If the square is dilated by a factor of 2.5, what is the length of a side of the new square?

Answers

Answer:

Step-by-step explanation:

It starts out at 1.2 feet. In math, dilation means make larger or smaller, so I have to give you both answers. Check with your instructor to see what the question intends.

Larger

1.2 * 2.5 = 3

Smaller

1.2 / 2.5 = 0.48

Answer:

beef

Step-by-step explanation:

beef is the answer to everything

A cone has a radius of 5.1 inches and a height of 5 inches.

What is the volume of the cone?

Use 3.14 for pi. Round to the nearest tenth

Answers

Answer:

136.19

Step-by-step explanation:

V=πr2h

3=π·5.12·5

3≈136.18804in³

A garbage bin can hold 50 gallons of waste. Complete the table to show what percent of the bin would be filled for different amounts of waste. Will get brainliest if answers first and gets it right.

Answers

You have to divide each waste by 50. After that you move the decimal place over two places. The answers are:
1. 10%
2. 60%
3. 90%

The percent of the bin would be filled for 30 gallons of amounts of waste is 60 percent.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, a garbage bin can hold 50 gallons of waste.

Waste (gal) = 5

Percentage = 5/50 ×100

= 10%

Waste (gal) = 30

Percentage = 30/50 ×100

= 60%

Waste (gal) = 45

Percentage = 45/50 ×100

= 90%

Therefore, the percent of the bin would be filled for 30 gallons of amounts of waste is 60 percent.

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Given that
a
= 24° and
b
= 70°.
Work out
x
, explaining each stage of your working in the comment box.

Answers

Answer: 32 degrees

Step-by-step explanation:

Please help asap! I on;y have 10 mins left!!!

Answers

Answer:

41 degrees

Step-by-step explanation:

Complementary angles add to 90 degrees

<3 + <4 = 90

<3 + 49 = 90

Subtract 49 from each side

<3 = 90-49

<3 =41

ASAP please answer correctly if you do I will mark brainliest. Only DO NUMBER 10 please so you only have 1 question to do.

Answers

X=2

Step-by-step explanation:

4x=6

-4x.-4

x=2 so your answer Is x=2

Answer:

x = 3

Step-by-step explanation:

perimater

3 + 3 + 2x + 2x

6 + 4x

area

3(2x)

6x

substitute:

6x = 6 + 4x

-4x -4x

2x = 6

x = 3

Deena has 2 pairs of white socks 3 pairs of black socks, 1 pair of red socks, and 2 pairs of navy socks in her sock drawer. Each
pair of socks is folded together. If she pulls a pair of socks out of her drawer in the morning without looking, what is the
probability that she will choose a pair of white socks?

Answers

Answer:

3/8=0.375

Step-by-step explanation:

There are a total of 8 pairs and three of them are White. Its a simple fraction and figure out the decimal.

Below.Does it matter the order in which the store applies the discount? In other words, is 70% off and then 20% off equal to 20% off and then 70% off? Give your answer and an explanation below. Make sure to show calculations to support your answer

Answers

Answer:

No it does not  matter in which order the store applies the discount.

Step-by-step explanation:

Suppose we have the cost price = $ 100

Then 70 %  off means 70% of 100= 70 $ discount

And the remaining $ 30  is again given a discount of 20 % . That would be 20 % of $ 30=  $ 6 discount giving the discounted price of $ 24.

Now if we apply the discount of 20 % first that would give $ 80 discounted price and again applying 70 % to $ 80 would give $ 56 discount and a discounted price of $ 80 - $ 56= $ 24

Hence the order in which the discount is applied does not matter.

what is the slope-intercept form equation that represents the line?

Answers

Answer:

y=-1/2x+4

Step-by-step explanation:

What is the quotient of 8,688 ÷ 24?

Answers

The quotient of 8,688/24 is 362

Answer:

362

Step-by-step explanation:

Solve this equation. Enter your answer in the box.
–4(x – 26) = –200

Answers

Answer:

x = 76

Step-by-step explanation:

Distributive property:

-4(x-26) = -4x + 104

Subtract 104 from both sides.

-4x + 104 = -200

-4x = -304

Divide -4 from both sides.

x = 76

The solution of the equation is x= 76.

What is an equation?

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given, equation –4(x – 26) = –200

–4(x – 26) = –200

-4x + 104 = -200

-4x = -200-104

-4x = -304

x = 304/4

x= 76

Therefore, the solution of the equation is x= 76.

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find the outer perimeter of this figure. round your answer to the nearest hundredth. use 3.14 to approximate pi.

Answers

Answer:

19.42 ft

Step-by-step explanation:

Triangular part = 5+5 =10

Semi-circular part = 1/2×2πr = 1/2×2×3.14×3 = 9.42

Perimeter = 10+9.42 = 19.42ft

For semicircular

Outer perimeter

πr3.14(3)9.42

Now

Total perimeter

5+5+9.4218.42ft

4 people can dig a trench in 3 hours How long would it take 9 people give your answer in minutes

Answers

Answer:

1 hour and 20 minutes

Step-by-step explanation:

If 4 people take 3 hours, 1 person will take 4 times as long. This is 4*3=12 hours. If 9 people do it, it will take 1/9 of the time 1 person takes to do it, which is 12/9 = 1.3 recurring, or 1 and 1/3 of an hour.

Answer:

it takes 80 minutes

Step-by-step explanation:

Hope this helps

F is directly proportional to a.
If F = 42 when a 7 find
a when F = 18

Answers

Answer:

a=3

Step-by-step explanation:

The formula for direct proportion is

f = ka

Let f= 42 and a = 7

42 = k*7

Divide each side by 7

42/7 = k7/7

6 =k

f = 6a

Let f = 18

18 = 6a

Divide each side by 6

18/6 = 6a/6

3 =a

Answer:

a = 3

Step-by-step explanation:

Given that F is directly proportional to a, then the equation relating them is

F = ka ← k is the constant of proportion

To find k use the condition F = 42 when a = 7, thus

42 = 7k ( divide both sides by 7 )

6 = k

F = 6a ← equation of proportion

When F = 18, then

18 = 6a ( divide both sides by 6 )

3 = a

Explain why the product of 4 x 500 has three Os, not just two Os.

Answers

Answer:

because 4 is being multiplied by 500 which has two zeros because it is a multiple of 100

Step-by-step explanation:

Answer:

Because when you multiply 500 by 4 you start with the first 0. 4x0 is 0, now you move on to the second 0. 4x0 is 0, so that one is 0 too. Now you multiply the 5. 5x4 is 20. You put the 20 first, followed by the two 0s, And you get 2,000.

Step-by-step explanation:

HELP PLEASE
you dont need to explain anything

Answers

Answer:

yes

Step-by-step explanation:

also its a 45 degree angle

cuz 135-90+45

XD brainliest pls

A 6 inch by 10 inch rectangle is dilated by a factor of 3. What is the area of the dilated rectangle?

Answers

Answer:1 is 60 and 2 is a k=2

Step-by-step explanation: correct me if I’m wrong

please help me please

Answers

Answer:

4/5

Step-by-step explanation:

Judging by the graph, it looks like there are 2 points at (0, 2) and (5, 6).

We can find the slope by 'subtracting' these points:

(6-2)/(5-0) =4/5

If you ever need to remember this trick, you can remember "rise over run".

I hope this solution helped you. Happy mathing!

Solve: sin(11pi/2 +x) =-1/2 for [pi, 2pi]

Answers

Answer:

Step-by-step explanation:

Given the expression  sin(11pi/2 +x) =-1/2

Take the arcsin of both sides

sin⁻¹[sin(11pi/2 +x)] =sin⁻¹(-1/2)

11pi/2 + x = -30

x = -pi/6 - 11pi/2

Find the LCM

x = (-pi-33pi)/6

x = -34pi/6

x = -17pi/3

Since x is negative and sin is negative in the fourth quadrant

x =  - 17pi/2

x = -1530⁰+1440⁰ (scaling down the angle)

x = -90

x = 360 - 90 (fourth quadrant)

x = 270⁰

x = 270pi/180

x = 27pi/18

x = 3pi/2

Hence x the solution of x is 3pi/2

Answer:

B, 5pi/3

Step-by-step explanation:

edge 2020

test question dont mind me

Answers

Answer: okay.

Step-by-step explanation:

What is -4/-2 simplified. Is it -2, or just 2?

Answers

Answer:

It's just 2

Step-by-step explanation:

When you divide a negative by a negative, it becomes positive

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