Work out the value of x in this quadrilateral.

Answers

Answer 1

Answer: Lets do this! :D
Alright! So first, you want to focus on that angle on the bottom left on the polygon. Because it is straight angle and you know that the angle adjacent to it is 180-x, that means that the angle of the polygon is x

Now, to solve for x, add all of the angles up in the polygon. Since all quadrilaterals' angles add up to 360, we can make this equation equal to 360. So that gives us:

2x+x+x+18+90=360

Now just simplify

4x+108=360
4x=252
x=252/4
x=63

Therefore, x=63

Hope this helped! :D

Related Questions

He then unpacked 192 packs of frozen peas from 8 boxes.How many packs of frozen peas were in each box?
Suppose a telephone pole 60 feet in height casts a shadow of length 80 feet. What is the angle of elevation from the end of the shadow to the top the pole with respect to the ground?
The mass of an electron is approximately 9 × 10-28 grams, while the mass of a neutron is approximately 2 × 10-24 grams. Which of the following is true?The mass of a neutron is approximately 2,000 times the mass of an electron. The mass of a neutron is approximately 10,000 times the mass of an electron. The mass of a neutron is approximately 20,000 times the mass of an electron. The mass of a neutron is approximately 1,000 times the mass of an electron.
It’s geometry I need help
The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year and round answers to the nearest cent.P=$180, r=3%, t= 2 years

Shania is making a scale diagram of the badminton court at the community center. She uses a scale of 1 centimeters to 0.5 meters to draw the scale diagram.If the scale length of the badminton court is 26.8 centimeters and the scale width is 12.2 centimeter,what is the actual area of the court?

Answers

The actual area of the court is 81.74 meters. Since every 1 centimeter is equal to half a meter, you simply multiply the number of centimeters by .5. Which would make the length 13.4 and the width 6.1 meters. Then you multiply these two by eachother and it would give you an area of 81.74 meters.

Answer:

Step-by-step explanation:

About how many molecules of water are in a swimming pool that holds 200 m^3 of water ? Write your answer in scientific notation . Please , I need your help !

Answers

metric is very conveinient
1gram=1cm^3 of water
1m^3=1,000,000,000 grams

water is 18.015 grams per mole
(1,000,000 grams water)/(18.015 grams/mole) = 55509.3 moles

there are 6.02e23 molecules in 1 mole of water so
55509.3 moles * (6.0221E23) = 3.3428E27 molecules of water in 1m^3 of water
so we have200 of those
200 times 3.3428E27=6.6856E29 molecules

answer is 6.6856 times 10^29 mlecules

Which of these is the algebraic expression for "nine less than some number?"Fraction 9 over k
Fraction k over 9
9 − k
k − 9

Answers

The answer is k - 9.

Answer:

K - 9

I TOOK THE TEST AND GOT IT RIGHT!!

Which of the following correctly completes the square for the equation below?x^2+2x=19
a. (x+2)^2=20
b. (x+1)^2=23
c. (x+1)^2=20
d. (x+2)^2=23

Answers

Answer:

c. $(x+1)^2=20$

Step-by-step explanation:

Since, for getting a perfect square on the left side of a quadratic equation we follow the following steps,

Step 1 : Make 1 as the coefficient of $x^2$ .

Step 2 : Add both side the square of a number which is half of the x's coefficient.

Given equation,

$x^2+2x=19$ -----(1)

Here, the coefficient of $x^2$ is already one.

And, the middle term is 2,

Half of 2 is 1

Also, 1² = 1

Thus, add 1 on both sides of equation (1),

$x^2+2x+1 = 19 + 1$

$(x+1)^2 = 20$ ( Because (a+b)² = a² + 2ab + b² )

⇒ Option C is correct.

The answer is :

c. (x+1)²=20

To check:
(x+1)²=20 (a+b)²=a²+2ab+b²
x²+2x+1=20
x²+2x=20-1
x²+2x=19

59, 51, 55, 46, 50, 40, 44, ____, ____

Answers

33, 37, 25, 29
The pattern is semi-complicated and hard to explain.
From the first number to the second, they subtracted 8. Then added 4. Then subtracted 9. And added 4. And subtracted 10. And added 4.
So I subtracted 11. Then added 4. And subtracted 12. Then added 4. Etc.

Answer:

Step-by-step explanation:

Solve the equation. Show your work.

1/a =6/18

Answers

1 6
--- = ---
a 18

- simplify 6/18, which should be 1/3. therefore, a = 3.