A quadrilateral has two angles that measure 63° and 154°. The other two angles are in a ratio of 4:9. What are the measures of those two angles?

Answers

Answer 1

Answer:

44° and 99°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Subtract the 2 given angles from 360° to find the remaining sum

360° - (63 + 154)° = 360° - 217° = 143°

The 2 angles which sum to 143° are in the ratio 4 : 9

sum the parts of the ratio, 4 + 9 = 13 parts , then

143° ÷ 13 = 11° ← value of 1 part of the ratio, so

4 parts = 4 × 11° = 44°

9 parts = 9 × 11° = 99°

The other 2 angles are 44° and 99°


Related Questions

help me Kaite bought 3 DVD's for $ 45. What was the cost of each DVD's

Answers

Answer:

45/3 = 15

They each where $15

Hope that helps

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

All you need to do is divide 45 by 3 and you get 15

In IJK, i = 40 inches, j = 80 inches and ZK=92°. Find ZJ, to the nearest degree.

Answers

Answer:

61.9

Step-by-step explanation:

mark me as brainliest

Answer:

  62°

Step-by-step explanation:

The law of cosines is used to find the length of side k:

  k² = i² +j² -2i·j·cos(K)

  k² = 40² +80² -2·40·80·cos(92°) ≈ 8223.3568

  k ≈ 90.6827 . . . . . . . take the square root

Then the law of sines is used to find angle J.

  sin(J)/j = sin(K)/k

  J = arcsin(j/k·sin(K)) = arcsin(80/90.6827·sin(92°)) ≈ 61.84°

  J ≈ 62°

The angle measures of an isosceles triangle are shown. Find the value of w.

Answers

Answer:

w= 7

Step-by-step explanation:

8w + 9w - 1 + 62 = 180

17w + 61 = 180

17w = 119

w = 7

The school band sold T-shirts for a fundraiser. They earned $6 profit on each T-shirt minus $4 for flyers. Give verbal description relating the number of T-shirts and the profit. Find the profit for selling 30 T-shirts

Answers

The school band could have a profit of $ 60 for selling 30 T-Shirts.

For the sale of each T-shirt the school band have a net profit of $ 6, of which $ 4 are discounted by concept of flyers and, thus, this band has a final profit of $ 2 for the sale of a T-shirt. The total profit for T-shirt sales equals the product of number of T-shirts sold and the final profit for each T-shirt sold.

Hence, the profit for selling 30 T-shirts is shown below:

[tex]C = (\$\,2)\cdot (30)[/tex]

[tex]C = \$\,60[/tex]

The school band could have a profit of $ 60 for selling 30 T-Shirts.

To learn more on net profit issues, we kindly invite to check this verified question: https://brainly.com/question/13749820

can someone help me figure this out

Answers

Answer:

b ≥ 8

Step-by-step explanation:

b + 4 + 2(-2b + 4) ≤ -12

b + 4 - 4b + 8 ≤ -12

-3b + 12 ≤ -12

-3b ≤ -24

b ≥ 8

A piece of timber is
x
cm long.
How long would 3 pieces of timber be put together in a line?

Answers

Answer:

3x cm long.

Step-by-step explanation:

If one piece is x cm

and there are 3 together, presumeabley the same length

then you'd just need to multiply the length 3 times, therefore 3x respresents multiplying x 3 times.

Have a good day!

Answer:

3x cm long

Step-by-step explanation:

3 times x is 3x

Alicia is a nurse.

In 2016, she earned a monthly salary of £1750

In 2017, she was awarded a 2% pay increase on her monthly salary.

Given that in 2017 Alicia worked 45 hours per week for 48 weeks,

work out her average pay per hour for the year.







WILL MARK BRAINLIEST IF

- Answer is correct

- Answer is detailed


WILL NOT MARK BRAINLIEST IF:

-Contains links

-Answer not detailed

-Answer incorrect


(P.s: must be 2 answers pls)
Thanks

Answers

Answer:

See below

Step-by-step explanation:

2% increase on 1750=

1750 * 1.02 = 1785

1785 per month gives 1785 * 12 = 21420 per year.

Divide 21420 by 48 weeks = 446.25 per week

Divide 446.25 by 45 hours = 9.92 per hour

Multiplication is the process of multiplying. Alicia's earnings per hour for the year 2017 is £9.92 per hour.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The monthly salary of Alicia in 2016 was £1750, which was increased by 2% in 2017. Therefore, the salary in 2017 will be,

(100%+2%) of £1750

= 1.02 × £1750

= £1785 per month

Since a year has 12 months, therefore, the earnings for the complete 2017 year will be,

Total Earning = 12 × £1785 = £21,420

As given Alicia worked 45 hours per week for 48 weeks, therefore, the number of hours will be

Number of hours = 45 hours × 48 weeks = 2,160 hours

Now, the earnings per hour can be written as,

Earning per hours = £21,420/2,160 hours = £9.92/ hour

Hence, Alicia's earnings per hour for the year 2017 is £9.92 per hour.

Learn more about Multiplication:

https://brainly.com/question/14059007

#SPJ2

if 4.5 pounds of cherries cost $10 , what is the unit price per pound ? A.$0.22 B.$0.45 C. $2.22

Answers

Answer:

C

Step-by-step explanation:

Divide the price by the weight 10 / 4.5 = $2.22 per pound

15a. Cindy can make $100 in four days babysitting. At that rate, how many day will it take
her to make $425.

Answers

Answer:

4.2

Step-by-step explanation:

Find the volume of the sphere.

Answers

Answer:

4.19

Step-by-step explanation:

v=4/3(pie x r^3)

v=4/3(pie x 1^3) = 4.18879

v=4.19

evaluate the expression for the given value of x.
0.8x+5.4 for x= -3​

Answers

Answer:

3.0

Step-by-step explanation:

0.8 times -3 = -2.4

5.4-2.4=3.0

So the answer is 3.0

A line has a slope of 0 and passes through the point (10, 2). What is its equation in slope intercept form?

Answers

Answer:

y = 10

Step-by-step explanation:

y = m x + C, where m is the slope and c is the intercept on the y axis. Plugging in the values of m and C, we get: y = 0 x + 10 = 0 + 10 = 10. Therefore, y = 10.

The equation of line that passes through the point P ( 10 , 2 ) and has a slope of 0 is y = 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the point be represented as P ( 10 , 2 )

And ,let the slope of the line be m = 0

Slope m = 0

Now , the equation of line is given by the formula y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 2 = 0 ( x - 10 )

On simplifying the equation , we get

y - 2 = 0

Adding 2 on both sides of the equation , we get

y = 2

Therefore , the value of A is y = 2

Hence , the equation of line is y = 2

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

Help!! NO SPAM!!!! I will mark brainliest. A phone banking password consists of 2 letters followed by 4 digits. The letters B and X are not used, and the last digit cannot be 0. How many different passwords are possible?

Answers

In this exercise we have to use the combination knowledge to calculate the different possibilities, so we have to:

5184000 possible ways

in this way, when we deal with possibilities it is the same as talking about multiplication, so we have that:

[tex]24*24*10*10*10*9=5184000[/tex]

See more about possibilites at brainly.com/question/488013

question 19 of the attachment below

Answers

Answer:

The proof of area is [tex]\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex] is done

Step-by-step explanation:

Area of regular hexagon[tex]=6\times[/tex] Area of equilateral triangle

Area of regular hexagon ABCDEF with side [tex]x[/tex]

[tex]=6\times \frac{\sqrt{3} }{4} x^{2} \\\\= \frac{3\sqrt{3} }{2} x^{2}[/tex]

Area of regular hexagon FGHIJK with side [tex]px[/tex]

[tex]= \frac{3\sqrt{3} }{2} (px)^{2}\\\\=\frac{3\sqrt{3} }{2} p^{2}x^{2}[/tex]

Area of shaded region

[tex]=\frac{3\sqrt{3} }{2} p^{2}x^{2}-\frac{3\sqrt{3} }{2} x^{2}\\\\=\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex]

Which of the following is NOT a type of fat?



Saturated


Unsaturated


Trans-Fats


Fiber

Answers

Answer:

Fiber

Step-by-step explanation:

Fiber is a carbohydrate and not a fat ------ it is all the polysaccharides that humans can't digest.

Answer:

fiber is not a type of fat

in the diagram m∠UYF= 42 1/8

What is ∠FYT?

Answers

Step-by-step explanation:

FYT and UYF are supplementary angles (together they cover all angles around Y on one side of the line TU, and that's is in total 180°).

so,

FYT = 180 - 42 1/8 = 137 7/8°

as 180 - 42 = 138, and then we subtract another 1/8. that gives 137 7/8.

If y varies directly as x, find y:
{(8, -12). (20, y)}

Answers

[tex]\\ \sf\longmapsto x_1y_2=x_2y_1[/tex]

[tex]\\ \sf\longmapsto 8y=-12(20)[/tex]

[tex]\\ \sf\longmapsto 8y=-240[/tex]

[tex]\\ \sf\longmapsto y=-240/8[/tex]

[tex]\\ \sf\longmapsto y=-60[/tex]

Help pretty please it’s 4:30 rn and I’m trying to get this done

Answers

Answer:

8b is 1.5*10^4=1.5*10000=15000

9. is 100*1.1=110meters to 100 yards

Hope This Helps!!!

Answer:

91

Step-by-step explanation:

Which statement is necessarily true if is an altitude to the hypotenuse of right ?

Answers

Step-by-step explanation:

it's b

i relly don't know cause theres no image

Point R has coordinates of (5.-6). What the coordinates of R' after being reflected across the y-axis?

Answers

Answer:

R' (- 5, - 6 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

R (5, - 6 ) → R' (- 5, - 6 )

Answer:

-5, -6

Explanation:

5, -6 is in quadrant 4, (x, -y) so if it were to be reflected over the y- axis, it would got to quadrant 3 (-x, -y).

Hope this helped :)

Dan earns £367 over the course of a five-day week. How much is that per day?

Answers

Divide total by number of days:

367/5 = 73.40 per day

Find the surface area of the cuboid.

Answers

Answer:

62 cm²

Step-by-step explanation:

The surface area (SA) is the sum of the areas of the 6 faces.

The opposite faces are congruent, then

SA = area of front/ back + area of top/ bottom + area of 2 sides

     = 2(5 × 3) + 2(5 × 2) + 2(3 × 2)

     = 2(15) + 2(10) + 2(6)

     = 30 + 20 + 12

     = 62 cm²

Sally can paint a room in 7 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together?

Answers

Answer:

2 hours

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

Let x represent the time it takes together. Per hour the Equalizer

1/3hr + 1/8hr = 1/x  Multiplying each term by 24x so as all denominators = 1

8x + 3x = 24

11x = 24

x = 2.18 hrs, the time it takes them together

find measure of angle b

Answers

Answer:

9. b=120 8. b=43 11 b=84 12 b=23

Step-by-step explanation:

number 9 the angle is equals to 189 number 10 they're both the same and 11 is equal to 180, 12 the angle is equal to 90

Solve please in need of help

Answers

Answer:

not clear and I don't know the answer

Can someone help me?

Answers

Answer:

d

Step-by-step explanation:

the elements of the periodic table are numbered from 1 to 118 and Atom's place on the table is determined solely by which property A mass number B number of protons C number of neutrons D number of electrons​

Answers

The atom's place on the table is determined solely by its number of protons

A periodic table is a table containing different elements and arranged across the periods and groups of the table.

The elements in a periodic table are numbered and arranged based on their atomic number.

Since the atomic number is equal to the number of protons an element contains, hence we can conclude that the atom's place on the table is determined solely by its number of protons

Learn more about periodic table here;https://brainly.com/question/14514242

Answer:

number of protons

Step-by-step explanation:

the perimeter of a rectangular field is is 84m.If the width of the rectangle is 6m less than the length,then find the dimensions?please friends help!!!!!!!!​

Answers

Answer:

24

**Solving Steps**

2 x (2 x X - 6) = 84

4x-12=84

84+12=96

96/4 = 24

Hope it helps.

Pls help me 15 points total

Answers

It’s 738 text me if you need anything else

Write the equation from the line whose slope and the point through which it passes are given. Express the equation in point-slope form. (8,-1) and slope m=-3

Answers

Answer:

y + 1 = 3(x - 8)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 3 and (a, b ) = (8, - 1 ) , then

y - (- 1) = 3(x - 8) , that is

y + 1 = 3(x - 8)

Other Questions
the kinds of motion your movable joints allow. An online furniture store sells chairs and tables. Each day, the store can ship at most 55 pieces of furniture. Write an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint. Cheryl writes 7 fewer posts than Kevin on a social media site.If k represents kevin how would you write the expression I will give brainliest to whoever answers first In order to work as a lifeguard, you need a special ___. A. conversation B. prediction C. qualification D. career Which objects refract light? (Select all that apply.)the human eyecontact lensesa magnifying glassconcave mirrors You have 58 g of calcium chloride (CaCl2) and you need to make a 5 M solution. You know that the molecular weight of Ca is 40 and that the molecular weight of Cl is 35.5. How many liters (L) of water would you need write the equation in slope intercept form -1=-2x+y Which model of the atom is thought to be true?A. Protons, electrons, and neutrons are evenly distributed throughout the volume of the atom. B. The nucleus is made of protons, electrons, and neutrons. C. Electrons are distributed around the nucleus and occupy almost all the volume of the atom. D. The nucleus is made of electrons and protons. The largest lollipop ever made had a mass of 2158.7kg and was made for a festival in Granna, Sweden on July 27, 2003, If a spherical lollipop with radius 2 cm has a mass of 50 g, what was the radius of this giant lollipop? What is the best way to think about setting?a. The mood and feeling of the storys surroundingsb. The location where a story takes placec. The time when a story takes placed. All of the above please help ASAP! What is the area of this figure? _____________ is the study of movement in athletes. A. Sports biomechanics B. Posture C. Dynamics D. Anatomy Find a pair of positive integers for and b in these questions18 + 65 = 186523 + 7 = 2314 would you consider yoga as recreational activities Helpppppppp plzzzzzz asaaaapppp what does the word ingratiated imply about yegor? question: the diagram below shows the major parts of the digestive system.what part of the digestive system is labeled by the number 1? A. small intestine B. esophagus C. stomach D. mouth the best way for America to address racism? Please answer my question who loves Paddington Bear