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


(ii) Kolyan has $9 to spend.
Work out the total amount Kolyan spends on water and biscuits as a fraction of the $9.
Give your answer in its lowest terms.

Answers

The amount spent on water and biscuits is $5.4 and $3.6, respectively

From the question, the ratio is given as:

[tex]Biscuits : Water= 3 : 2[/tex]

Represent both proportion as a fraction

[tex]Biscuits = \frac 35[/tex]

[tex]Water= \frac 25[/tex]

Kolyhan has $9.

So, the amount spent on biscuit is:

[tex]Biscuit= \frac 25 \times 9[/tex]

[tex]Biscuit= 3.6[/tex]

The amount spent on water is:

[tex]Water = 9 - 3.6[/tex]

[tex]Water = 5.4[/tex]

Hence, the amount spent on water and biscuits is $5.4 and $3.6, respectively

Read more about ratios and proportions at:

https://brainly.com/question/18170686

For health reasons, Amir wants to drink eight
glasses of water a day. He's already had six
glasses. What fraction of eight glasses does
Amir have left to drink?
A. 1/8
B.1/6
C. 1/4
D.1/3

Answers

Answer is C, 1/4 left to drink. 6/8 reduces to 3/4, so 3/4 + 1/4 = 1 whole, or 8/8

An airplane is 280 feet long. Charlie makes a scale model of the airplane at 1:140 of its actual size. How long is the model?

Answers

Answer:

2 feet long

Step-by-step explanation:

Simple: get the Equation PART 2!!

Answers

The answer is N•17=C

calculate (3×10^5) × (4×10^4) in standard form.

NEED HELP ASAP.​

Answers

Answer:

12000000000

Step-by-step explanation:

did I add too many zeros????

10 to the 5 is multiply by 10 five times (100,000)

100,000 x 3 = 300,000

For the second thing, 10 to the 4 = 10,000

10,000 x 4 = 40,000

300,000 x 40,000 = 12000000000

1000000x900=?????????????

Answers

Answer:

The answer is 900000000

Answer:

900000000, or 9.0x 10^8

Step-by-step explanation:

do 1(9)=9

then add the 0's behind.

PLEASE HELP!!! WILL GIVE BRAINLIEST!!!!

Answers

3. identity property of addition
7. associative property of addition
8. multiplicative property of zero

Your little brother wants hot chocolate ot be 150 degrees, but you accidentally heated the water to 175 degrees. If after 5 minutes the temperature is 165 and the temperature in your house is 70 degrees, how long will your little brother have to wait to drink his hot chocolate?

Answers

Answer:

12.5 minutes

Step-by-step explanation:

it takes 5 minutes to cool 10 degrees

after ten minutes it would be 20 degrees less

then after 2.5 minutes it would be 5 degrees less

so it would take you 12.5 minutes to get 25 degrees less

Answer:My little brother will have to wait for 12.5 minutes to drink his hot chocolate.Step-by-step explanation:

We know that in 5 minutes, the temperature of the hot chocolate decreased by 10 degrees. We also know that the temperature is fixed at 70 degrees. Now, using the info given, let's solve!

=> 5 minutes = 10 degrees decrease=> 1 minute = 2 degrees decrease=> 1 minute x 12.5 = 2 x 12.5 degrees decrease=> 12.5 minutes = 25 degrees decreaseConclusion:

Therefore, my little brother will have to wait for 12.5 minutes to drink his hot chocolate.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Which ordered pairs are solutions to the inequality 2y-x≤-6 ?
a. (0,-3) b. (5,10) c. (2, -2) d. (-5, 2)

Answers

Answer:

C

Step-by-step explanation:

Good morning fellow Brainaics.

Please help me with this question.

Answers

Answer:

Veganism :)

Step-by-step explanation:

Step-by-step explanation:

B: Veganism.

but ... how is that mathematics ?

What is the factored form of n^3+512 (please answer) picture provided

Answers

[tex] {n}^{3} + 512 \\ = {(n)}^{3} + {(8)}^{3} \\ by \: using \: {a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2}) we \: \: \: get \\ = (n + 8)( {(n)}^{2} - n \times 8 + {(8)}^{2} ) \\ = (n + 8)( {n}^{2} - 8n + 64)[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

HELP HURRY PLS

What is the equation of this line?
A. y= 3/2x -2
B. y=2x+2/3
C. y=2/3x-2
D. y= -2x+3/2

Answers

Answer:

The answer is C, y = 2/3x -2

Step-by-step explanation:

Use the rise over run strategy on linear functions such as this one

How is 6% expressed as a fraction in lowest terms

Answers

6% expressed as a fraction in lowest terms is 3/5

Please help I forgot how to do this completely

Answers

Step-by-step explanation:

9x+79+56=180(sum of angles of triangle)

9x+135=180

9x=180-135

x=45÷9

x=5

A mosquito flies at a speed of 40.2 meters per minute.

At this rate, how many meters can it fly in 5 minutes?

PLZ HELP

Answers

Answer:

201

Step-by-step explanation:

40.2*5=201

201 meters per minute

Identify the slope represented in the graph below.

Answers

Answer:
The slope is -2
Explanation:
I choose two points on the graph (0,-2) and (-1,0) and put it into the slope form using two coordinate pairs which is y-y/x-x and got -2/1 which simplifies down to -2

See attachment for question

Answers

I can’t see the attachment?

A laptop is 30% off the regular price of 920$ If a 6% sales tax is added to the cost what is total cost of the laptop

Answers

Answer

If we had a sale price of 30% off of $1,050then the sale price is 70% of $1,050 or 0.7(1050) Then we add 7% sales tax to that making thefinal price paid 107% of [0.7(1050)] ... 1.07[0.7(1050)] = $786.45

does (0,0) make the equation y = x true​

Answers

True because its true maybe but just answer true



Help plzz I don’t get it

Answers

x intercept The x intercept is the point where the line crosses the x axis. At this point y = 0.

Use <, >, or = to make the
statement true.
20[?]-1

Answers

Answer:

20 > -1

Step-by-step explanation:

Well 20 is a positive integer that is 20 units from 0 whereas -1 is a negative integer that is 1 unit behind zero.

Determine the intercepts of the line.

Answers

Answer:

y-intercept: (0,5)

x-intercept: (5/2,0)

Step-by-step explanation:

[tex]-4x+7=2y-3[/tex]

[tex]-4(0)+7=2y-3[/tex]

[tex]0+7=2y-3[/tex]

[tex]7=2y-3[/tex]

[tex]10=2y[/tex]

[tex]5=y[/tex] <-- y-intercept: (0,5)

[tex]-4x+7=2y-3[/tex]

[tex]-4x+7=2(0)-3[/tex]

[tex]-4x+7=-3[/tex]

[tex]-4x=-10[/tex]

[tex]x=\frac{5}{2}[/tex] <-- x-intercept: (5/2,0)

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

PLEASE HELP!!
This is worth 20 points please help me!

Answers

If it’s worth 20 why you just giving 5 points boo

The sum of twice a number and 5 is 25

Answers

Answer:

If the directions say write an equation: 2n + 5 =25

If the directions say also to solve the equation and find the number: 10

Step-by-step explanation:

"The sum" means we're using adding. So what things are we adding together? The question says "twice a number" and 5. Well we've got the 5. And "twice" means two times. And "a number" means we don't know the number yet, so we choose a variable, like n.

"Twice a number" can be written 2n.

So far we have:

2n + 5 is 25

We use = for the "is" in this sentence.

2n + 5 = 25

Now we can solve it.

Subtract 5 from both sides.

2n = 20

Divide by 2 on both sides.

2n/2 = 20/2

n = 10

The number is 10.

HELP PLEASE!!!!!!!!!!!!

Answers

The answer to this question would be B.35

Can somebody help me :

Answers

Answer:

A

Step-by-step explanation:

Negative numbers are smaller than positive numbers.

Answer:

Your correct 6.55 is a positive number while -6.5 is negitive and positive numbers are always larger then negitive ones

Hope This Helps!!!

What is the solution to the system of equations?

Answers

Answer:

(-2, 5/3)

Step-by-step explanation:

Substitute x with -2 and solve

y = 2/3(-2) + 3

Multiply 2/3 and -2

y = -4/3 + 3

Add

-4/3 + 3 = 5/3

y = 5/3

Final answer:

(-2, 5/3)

Neika is saving her money to buy a DVD that costs $45. If she has a job that pays $8 per hour, write and solve an inequality that shows the minimum number of hours that Neika will need to work in order to pay for the DVD.​

Answers

Answer:

8x6=48 so in 6 hours she will have enough money to buy it

Step-by-step explanation:

6 hours will give her 48 dollars if the dvd costs 45 so she will have to work 6 hours

A system of equations is shown: 2x = â’y 6 â’4x 3y = 8 What is the solution to this system of equations? (â’1, â’4) (1, 4) (4, 1) (â’4, â’1).

Answers

The correct option is B. (1,4).

Given equations,

[tex]2x=-y+6....(1)\\-4x+3y=8....(2)[/tex]

We have to find the solution of the given system of equations.

Equation 2 can be written as,

[tex]-2\times(2x)+3y=8\\[/tex]

Now by substitution method, putting the value of [tex]2x[/tex] from Equation (1) in above equation, we get

[tex]-2\times(-y+6)+3y=8\\2y-12+3y=8\\5y-12=8\\5y=20\\y=4[/tex]

Now putting the value of y in equation 1 we get,

[tex]2x=-4+6\\2x=2\\x=1[/tex]

Hence the solution of the given system of equation will be (1,4).

For more details follow the link:

https://brainly.com/question/12824145

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