The angless of a quadrilateral are in the ratio 3:5:9:13. Find all the angles of the quadrilateral

Answers

Answer 1

Answer: 156°

Step-by-step explanation:

As you know angle sum of a quadrilateral = 360°

So, 3x + 5x + 9x + 13x = 360°

Or, 30x = 360°

Or, x = 12°

Hence: 3x = 36°, 5x = 60°, 9x = 108° and 13x = 156°


Related Questions

calculate the amount of ₹30000 at the end of 2 years 4 months , compounded annually at 10% per annum​

Answers

Fv= 30,000 *(1+10%/12)^(2*12+4)
Fv = 30,000*(1+10%/12)^28
Fv= 37,847.46

Order the numbers from least to greatest.
A) 3.41%, 0.31, 0.314, 0.3333
B) 0.3333, 0.31, 0.314, 3.41%
C) 3.41%, 0.314, 0.3333, 3.51%
D) 0.31, 0.314, 0.333, 3.41%

Answers

Answer:

a) 3.41%, 0.31, 0.314, 0.3333

What are the coordinates of the point on the directed line segment from (-10, -3)
to (10,7) that partitions the segment into a ratio of 3 to 2?

Answers

Answer:

p(x,y)= (2,3)

Step-by-step explanation:

i have used partition formula in the pic below. If there is any question you can ask me in comment.

PLEASE HELP ASAP -- WITH THE WORKK

50 points

Answers

Part-A:-

(f×g)=

[tex]\\ \sf\longmapsto x^2+3x-70(4x-12)[/tex]

[tex]\\ \sf\longmapsto 4x^2+12x-280-12x^2+36x+840[/tex]

[tex]\\ \sf\longmapsto -8x^2+48x+560[/tex]

Now

[tex]\\ \sf\longmapsto (f.g)(3)[/tex]

[tex]\\ \sf\longmapsto -8(3)^2+48(3)+560[/tex]

[tex]\\ \sf\longmapsto -72+144+560[/tex]

[tex]\\ \sf\longmapsto 72+560[/tex]

[tex]\\ \sf\longmapsto 632[/tex]

Part-B:-

[tex]\\ \sf\longmapsto f(3)[/tex]

[tex]\\ \sf\longmapsto (3)^2+3(3)-70[/tex]

[tex]\\ \sf\longmapsto 9+9-70[/tex]

[tex]\\ \sf\longmapsto 18-70[/tex]

[tex]\\ \sf\longmapsto -52[/tex]

Now

[tex]\\ \sf\longmapsto g(f(3))[/tex]

[tex]\\ \sf\longmapsto g(-52)[/tex]

[tex]\\ \sf\longmapsto 4(-52-3)[/tex]

[tex]\\ \sf\longmapsto 4(-55)[/tex]

[tex]\\ \sf\longmapsto -220[/tex]

Part:-C

[tex]\\ \sf\longmapsto g(-2)[/tex]

[tex]\\ \sf\longmapsto 4(-2-3)[/tex]

[tex]\\ \sf\longmapsto 4(-5)[/tex]

[tex]\\ \sf\longmapsto -20[/tex]

Now

[tex]\\ \sf\longmapsto f(g(-2))[/tex]

[tex]\\ \sf\longmapsto f(-20)[/tex]

[tex]\\ \sf\longmapsto (-20)^2+3(-20)-70[/tex]

[tex]\\ \sf\longmapsto 400-60-70[/tex]

[tex]\\ \sf\longmapsto 400-130[/tex]

[tex]\\ \sf\longmapsto 270[/tex]

Part-D:-

g×f=f×g

[tex]\\ \sf\longmapsto (g.f)(-2)[/tex]

[tex]\\ \sf\longmapsto -8(-2)^2+48(-2)+560[/tex]

[tex]\\ \sf\longmapsto 32-96+560[/tex]

[tex]\\ \sf\longmapsto -64+560[/tex]

[tex]\\ \sf\longmapsto 496[/tex]

what's the Answer ?

[tex] \sqrt{ \dfrac{225}{9} } [/tex]

Answers

Answer:

Solution given;

[tex] \sqrt{ \dfrac{225}{9} } [/tex]

[tex] \sqrt{ \dfrac{15²}{3²} } [/tex]

[tex] \sqrt{ (\dfrac{15}{3} )²} [/tex]

[tex]\dfrac{15}{3}[/tex]

=5

Answer:

First, simplify the content under root:

[tex]\sqrt{\frac{225}{9}} =\\\\\sqrt{25}}} \\[/tex]

Now, use the following identity:

[tex]\sqrt{a^2} = |a|[/tex] = ± a

Last, we get:

√25 = √5² = ± 5

Plz answer this is important

Answers

Answer:

6

Step-by-step explanation:

It's just an educated guess but going from point A to point B there's six parts that the graph is separated by. (the lines.)

The graph is separated by the lines

find the highest common factor of 36 and 48

Answers

Answer:

12

Step-by-step explanation:

36/12=3

48/12=4

Answer:

highest common factor of 36 and 48 is 12

If the present value of my investment is $1,000 and the rate of interest is 6% compounded annually, what will the value be after 10 years?​

Answers

Answer:

$1790.84

Step-by-step explanation:

The investment will have value of 1000*(1+0.06)^10=1790.84 in 10 years

For what value of w is 4w = 2w - 8 ?

Answers

Answer:

w= -4

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

w is -4

Step-by-step explanation:

[tex]4w = 2w - 8[/tex]

make w the subject:

[tex]4w - 2w = - 8 \\ 2w = - 8[/tex]

divide all sides by 2:

[tex] \frac{2w}{2} = \frac{ - 8}{2} \\ \\ w = - 4[/tex]

3 subtract 1 and 1/2 C ​

Answers

Answer:

1 - 1/2 = 1/2

Step-by-step explanation:

Evaluate the expression

Answers

Answer:

361

Step-by-step explanation:

[tex]3 \times {11}^{2} - 2 = 361[/tex]

Answer:

361

Step-by-step explanation:

3(7+4)^2-14÷7

PEMDAS says parentheses first

3(11)^2-14÷7

Then exponents

3(121)-14÷7

Then multiply from left to right

363 -14÷7

363 -2

Subtract

361

solve the following equations 6÷x=18​

Answers

[tex]\boxed{\underline{\bf \: ANS WER}}[/tex]

[tex] \sf \frac{6}{x} = 18 \\ [/tex]

Variable x cannot be equal to 0 as division by zero is not defined. Multiply both sides of the equation by x.

[tex] \sf \: 6=18x [/tex]

Swap sides so that all variable terms are on the left-hand side.

[tex] \sf \: 18x=6 [/tex]

Divide both sides by 18.

[tex] \sf \: x=\frac{6}{18} \\ [/tex]

Reduce the fraction [tex] \sf\frac{6}{18}[/tex] to its lowest terms by extracting and cancelling out 6.

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

[tex] \sf \: x=\frac{1}{3}\approx \boxed{\underline{0.33... }}\\ [/tex]

______

Hope it helps.

ᏒᎯᎨᏁᏰᎾᏯᏕᎯᏝᎿ2222

Cuanto es 2/9 - 4/15

Answers

Answer:

Step-by-step explanation:

Common denominator is 45

(45/9)*2 = 10 and (45/15)*4 = 12

10/45 - 12/45 = - 2/45

Your college professor tells you he will give a 30%-30%-40% split on grades between homework, quizzes, and test. However whichever category you have the highest average in will be the 40% category.

What will your final grade be if your homework average is 60, you quiz average is 70, and your test average is 95?

Answers

Answer:

Your final grade will be 77%

Step-by-step explanation:

40% will be from your test average which is 95

30% will be from your homework average which is 60

30% will be from your quiz average which is 70

Calculating based on these weights:

(40×95+30×60+30×70) / (40+30+30) = 7700 / 100 = 77.00%

combine like terms and simplify. 7(3y-5)-2(10+4y)

Answers

Answer: 13y - 55

Step-by-step explanation:

Given

7 (3y - 5) - 2 (10 + 4y)

Expand parentheses and apply the distributive property

=7 · 3y - 7 · 5 - 2 · 10 - 2 · 4y

=21 y - 35 - 20 - 8y

Move like terms together

=21y - 8y - 35 - 20

Combine like terms

=13y - 55

Hope this helps!! :)

Please let me know if you have any questions

HELP ME PLS
Write the ratio
3/8 with a numerator of 9.

Answers

Answer:

24

Step-by-step explanation:

3    9

8    

9 times 8

divided by 3 = denominator

9x8÷3=24

Answer:

[tex]\frac{9}{24}[/tex]

Step-by-step explanation:

Skills needed: Identify numerator, Multiplying to change fraction

1) First, we need to know what the numerator is. The numerator is the upper number of the fraction, which is separated by the fraction bar FROM the denominator (the bottom part of the fraction).

In this fraction, 3 would be the numerator as it is the top number.

2) What we need to do here is rewrite the fraction [tex]\frac{3}{8}[/tex] so that the numerator is 9. Let's look at it in another way:

[tex]\frac{3}{8} * \frac{x}{x} = \frac{9}{z}[/tex] (The reason it is [tex]\frac{x}{x}[/tex] is because we want to multiply the original fraction/ratio by 1 so that we do not change it).

3) Now we know that [tex]3 * x=9[/tex], and if we divide both sides by 3, we get:

[tex]x=3[/tex].

This means it would be:

[tex]\frac{3}{8} * \frac{3}{3} = \frac{9}{z}[/tex]

Now we need to find [tex]z[/tex]. [tex]z=8*3 = 24[/tex]. [tex]z=24[/tex].

The numerator of our fraction would be 9, and the denominator is 24, making our answer: [tex]\frac{9}{24}[/tex].

Hope you understood and have a nice day!! :D (If you have any questions, please comment, and I can try to help!)

A swimmer wins the 50-yard freestyle with a time of 24.76 seconds. Find the swimmer’s average speed to the nearest hundredth of a yard per second.

Answers

Answer:

2.02 yards per second

Step-by-step explanation:

Distance/time= Average speed or speed

50yard/ 24.76sec=  2.01938 yards per second ~ 2.02 yards per second

Which system of inequalities is represented by the graph? ⎧⎩⎨⎪⎪y<−12x+2y≤2x−1y≥−4 ⎧⎩⎨⎪⎪y>−12x+2y≥2x−1y≥−4 ⎧⎩⎨⎪⎪y>−2x+2y≥12x−1y≥−4 ⎧⎩⎨⎪⎪y<−2x+2y≤12x−1y≥−4

Answers

Answer: D

Step-by-step explanation:

Let say a: the line decreasing

b: the line increasing

[tex]a: \ is\ passing\ through\ (0,2)\ and\ (2,-2)\\has \ the \ slope=\frac{2+2}{0-2} =-2\\its\ equation\ is\ y-2=-2(x-0) \ or\ y=-2x+2\ or\ 2x+y-2=0 \\for\ (0,0): -2 <=0\\\\\boxed{First\ region\ is\ y\leq -2x+2}\\\\[/tex]

[tex]b:\ is\ passing\ through\ (2,0)\ and\ (-2,-2) \\has\ the\ slope \ = \frac{-2-0} {-2-2} =\frac{1} {2} \\its\ equation\ is\ y-0=\frac{1}{2}(x-2)\ or\ y=\dfrac{x}{2}-1 \ or\ -x+2y+2=0\\for\ (0,0):\ +2 > 0\\\\\boxed{Second \ region\ is\ y\leq \dfrac{x}{2}-1 }\\[/tex]

Answer is D

The perimeter of a triangle is 16x−6. If two sides measure 3x+2 and 4x−9, then how long is the third side?

Answers

Perimeter of a triangle is the sum of measures of its all three sides, let the other be y,

we know,

[tex] \hookrightarrow \: y + 3x + 2 + 4x - 9 = 16x - 6[/tex]

[tex] \hookrightarrow \: y + 7x - 7 = 16x - 6[/tex]

[tex] \hookrightarrow \: y = 16x - 6 - 7x + 7[/tex]

[tex] \hookrightarrow \: y = 6x + 1[/tex]

hence, measure of the third side is 6x + 1


3.57 x 10
write in standard form

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\textsf{3.57}\times\textsf{10}^\mathsf{3}\\\\\mathsf{10^3}\\\mathsf{\rightarrow 10\times10\times10}\\\mathsf{\rightarrow100\times10}\\\mathsf{\rightarrow 1,000}\\\\\textsf{3.57}\times\textsf{1,000}\\\rightarrow\textsf{3,570}\\\rightarrow\mathsf{3.57\times10^3}\\\\\huge\boxed{Answer: {\frak{3.57\times 10^3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

(PLEASE HELP ASAP PLEASE EXPLAIN ALSO PLEASE AND THANK YOU)

Answers

Answer:

Step-by-step explanation:

Positive rational numbers will be in the right side of the number line.

Negative rational numbers will be in the right side of the number line.

18.256 will be lying in between 18.25 and 18.26

I just need help with #16 … can someone please help me

Answers

Answer: it goes up like 10,20,30,40

Step-by-step explanation:

- 50 = 6α + 28

Help pls

Answers

Answer:

A=13

hope this helped!!!

Answer:

-13

Step-by-step explanation:

-50=6a+28

collect like terms

-50-28=6a

-78=6a

divide both sides by the coefficient of a

-78/6=6a/6

a=-13

4 - 2(x-4)/ 3= 3(2x+5)/2
pls answer fast​

Answers

Answer:

- (5/22)

Step-by-step explanation:

(12-2x+8)/3 = (6x + 15)/2

(20 - 2x)/3 = ( 6x + 15)/2

Now cross multiplication

40 - 4x = 18x + 45

-18x - 4x = 45- 40

- 22x = 5

x = - ( 5/22)

căn 0.45*0.3*6
pls help
thanks you

Answers

Answer:

0,81

Step-by-step explanation:

0.45 x 0.3 x 6

= 0,135 x 6

= 0,81

[tex] = \frac{81}{100} .8.1 \times {10}^{ - 1} .( \frac{9}{10} {)}^{2} [/tex]

the sum of two numbers is 17 and their differance is 3

Answers

Answer:

10 and 7 are the numbers

Step-by-step explanation:

Let the number be x and y, ATQ, x+y=17 and x-y=3, solving it we will get x=10 and y=7

The sum of two numbers is 17 and their difference is 3.

Let's define the two numbers as x and y.

Sum of two numbers is 17

x + y = 17

Their difference is 3

x - y = 3

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

Solve for x

x + y = 17

x = 17 - y

now that we have x, substitued x into x - y = 3

x - y = 3

17 - y - y = 3

17 - 2y = 3

-2y = -14

y = 7

we have y, 7, now let's substitue that into one of the equations to find x

x - y = 3

x - 7 = 3

x -7 + 7 = 3 +7

x = 10

the numbers are 10 and 7

Plz HELPPPPPPP!!!!!!!!!!

Answers

Do you what explanation?

The sum of elght and a number is one hundred. What is the number?

Answers

Answer:

92

Step-by-step explanation:

[tex]8+x=100\\\\x=92[/tex]

Answer: B. 92

Step-by-step explanation: The sum of eight and a number is one hundred. The number is: 92 8 + N = 100 N = 100 - 8 N = 92

midpoint (10,5), endpoint (4, - 1)

Answers

Answer:

M=(7,2)

Step-by-step explanation:

M=(10+4/2,5+-1/2)

M=(7,2)

(
Solve this equation for p:
P+1 / 2 = 3p+7/5

Answers

Answer:

p = -10

Step-by-step explanation:

[tex]\frac{p+1}{2} = \frac{3p+7}{5}[/tex] cross multiply fractions

6p + 14 = 5p + 5

6p - 5p = 5 - 15 subtract like terms

p = - 10

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