The measures of the angles of triangle ABC are in the ratio 2:4:9. What are the measures of the angles.



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The Measures Of The Angles Of Triangle ABC Are In The Ratio 2:4:9. What Are The Measures Of The Angles.

Answers

Answer 1

Answer:

let the angle be x

Step-by-step explanation:

then,

angle1=2x

angle2=4x

angle3=9x

sum of all angles i  triangle is 180

then

2x+4x+9x=180

15x=180

x=12

angle1=2*12=24

angle2=4*12=48

angle3=9*12=108


Related Questions

The perimeter of a rectangle is 52 cm. If its width is 2 cm more than one-third of its length, find the dimensions of rectangle.

(A) 12 cm x 4 cm (B) 18 cm x 8 cm (C) 15 cm x 9 cm

Answers

Answer:

(B) 18 cm × 8 cm

Step-by-step explanation:

Perimeter of a rectangle  =  52 cm

2(length + width)  =  52 ==>  l + w  =  26

Let x be the length

width  =  (x/3) + 2

x + (x/3) + 2  =  26

[(3x + x)/3]  + 2 =  26

4x / 3  =  24

4x  =  24 (3)

x  =  6(3) ==>  18 cm

Width  =  (18/3) + 2

=  6 + 2  =  8 cm

So, the required dimension is 18 cm x 8 cm.

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Thank You!

Answered by: ms115

Answer:

B. 18 * 8.

Step-by-step explanation:

Let the perimeter be:

52 cm.

Find the numbers for the perimeter:

For A:

(12 cm + 4 cm) * 2 = 32.

That means A is incorrect.

For B:

(18 + 8) * 2 = 52 cm.

That means B is correct.

For C:

(15 + 9) * 2 = 48 cm.

That means C is incorrect.

Correct choice is B.

Will give brainliest please help. Worth lot of points

Are they similar or why are they not

Answers

Answer:

Yes they are similar due to the parallel lines of XY & BC. So, technically, the small and big triangle both will share the same base angles because corresponding angles are equal. Thus, angle AYX will be equal to angle YCB, for example.

In addition, two shapes are similar if one is an enlargement of another.

Hope this helps!

Find the area of the composite figure.

Answers

So in fig 1 :

L = 14m W = 9m

Area = L × WArea = 9 × 14Area = 126 m²

In fig 2 :

L = 7mW = 16 - 9 = 7m

Area= L × WArea = 7 × 7Area =49m²

TA = 126 + 49TA = 175 m²

The area of the composite figure is,

A = 175 m²

We have to given that,

A composite figure is shown.

In first part,

Lenght (L) = 14m

Width (W) = 9m

Hence, We get;

Area = L × W

Area = 9 × 14

Area = 126 m²

For second part,

Lenght (L) = 7m

Width (w) = 16 - 9 = 7m

Hence, We get;

Area= L × W

Area = 7 × 7

Area =49m²

So, We can formulate;

The area of the composite figure is,

A = 126 + 49

A = 175 m²

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#SPJ2

Please look at the picture below

Answers

Answer:

D.

Step-by-step explanation:

here is something to help you

PLEASE HELP I'LL GIVE BRAINLY AND POINTS

Simplify the expression

1/5 (-15w - 20) + 1/2 (3 - 4w)​

Answers

Answer:

-5w - 5/2

Step-by-step explanation:

hope it helps

What is the slope of the line that passes through the points
(

5
,
8
)
(−5,8) and
(

5
,
4
)
(−5,4)? Write your answer in simplest form.

Answers

Step-by-step explanation:

Slope formula:

[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]

Substitute the points into the formula format:

[tex] \frac{4}{ - 5} - \frac{8}{ - 5} = m[/tex]

Solve:

[tex] \frac{ - 4}{0} = m[/tex]

When a slope has a run (x) of 0, the slope is undefined.

Answer:

-4 / 0

Step-by-step explanation:

Given the following question:


(-5, 8), (-5, 4)

In order to find the answer to this question we will use rise over run, substitute the values, and then solve.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
(-5, 8), (x1, y1)
(-5, 4), (x2, y2)
4 - 8 = -4
-5 - -5 = 0
m = -4 / 0

Hope this helps.

Sarah is planning to take
aerobics classes at a gym.
Non-members pay $8 per
class, while members pay $4
per class and a $20
membership fee. If Sarah
plans to take 6 aerobics
classes, should she become a
member of the gym? Explain
why or why not?

Answers

Answer:

Yes

Step-by-step explanation:

Non members - 8*6 = $48

Members - 20+(4*6) = $46

She should become a member of the gym because she will pay $2 less overall.

Answer:

Sarah should become a member. She would be paying a lot less money and be able to take more classes for cheaper

Step-by-step explanation:

Non member amount for 6 classes-   $8*6= $48

Member amount for 6 classes-  $4*6= 24  ($20 fee) = $44

As you can see above, the cost for 6 classes with a membership is cheaper than without a membership

Simplify:.........

[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15} [/tex]

Answers

Answer:

[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15} [/tex]

[tex] \frac{13}{5} + \frac{13}{10} - \frac{47}{15} [/tex]

LCM of 5,10,15=30.

[tex] = \frac{13 \times 6 + 13 \times 3 - 47 \times 2}{30} [/tex]

[tex] = \frac{78 + 39 - 94}{30} = \frac{117 - 94}{30} = \frac{23}{30} [/tex]

Simplifying [tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}[/tex] is equal to [tex]\frac{23}{30}[/tex]

Given the following equation:

[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}[/tex]

What is a fraction?

A fraction refers to a numerical quantity that isn't expressed as a whole number. Therefore, a fraction is simply expressed as a part of a whole number.

The parts of a fraction.

In Mathematics, a fraction consists of two (2) main parts and these are:

NumeratorDenominator

In this exercise, you're required to simplify the given fractions. Thus, we would convert the mixed fraction to a single fraction as follows:

[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}=\frac{13}{5} +\frac{13}{10} -\frac{47}{15}[/tex]

Note: Lowest common multiple (LCM) of 5, 10 and 15 = 30.

[tex]\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{78+39-94}{30} \\\\\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{117-94}{30}\\\\\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{23}{30}[/tex]

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Becky's brother has an investment account that he says earns an
average of 13% each year. If this is the case, approximately how long
will it take him to double his money?

Answers

Answer:

Approximately 8 years

Step-by-step explanation:

We are looking for 100% interest amount.

Since the yearly interest rate is 13%, time required to double the amount is:

100/13 = 7.69 or nearly 8 years

Select all the correct answers.
Assume these hexagons are similar. Which changes will result in a pair of non-similar hexagons?
B
с
A
D
H
G
F
E
K
O doubling each side length in ABCDEF
subtracting 1 from each side length in GHIJKL
adding 15 degrees to angles G, H, and I, and subtracting 15 degrees from angles
o reducing each side length in GHIJKL by one-third of the original length
K and 2
adding 3 to each side length in GHIJKL

Answers

Answer:

Subtracting 1 from each side length of GHIJKL

Adding 15 degrees to angles G, H, and I, and subtracting 15 degrees from angles J, K, and L  

adding 3 to each side length in GHIJKL

Step-by-step explanation: Plato

Answer: 2&3 are the answers .

Step-by-step explanation: I got the answer right on my test .

The sum of two numbers is 30. Their difference is 6. What are the numbers?

Answers

Answer:

18, 12

Step-by-step explanation:

x+y=30

x-y=6

2x=36 (add the equations before this together)

x=18

y=12

Answer:

The numbers are x = 18 and y = 12.

Step-by-step explanation:

Find the value of a in the parallelogram. (a, AB, BC, CD, AD). Pls show work

Answers

Step-by-step explanation:

Hope it will helps you..

Your photo is so unclear ..but i try my best to understand...

Jordan has 3.2 liters of paint left after painting the scenery for the school play. How can she convert this number to find how many milliliters of paint she has left?

A. Multiply by 100
B. Multiply by 1,000
C. Divide by 100
D. Divide by 1,000

Answers

To convert liters to milliliters, we multiply the given value by 1000 because 1 liter = 1000 ml. For example, to convert 5 liters to milliliters, 5 × 1000 = 5000 ml.

In this polygon, all angles are right angles.


What is the area of this polygon?


Enter your answer in the box.

Answers

Divide the shape into a square and a rectangle, multiply 7 by 10, and subtract 10 from 21 to get 11. then multiply 11 by 24. Lastly, add the products together and you get 334 feet squared. Have a good day my friend!

The area of the polygon is: 334 ft²

What is the Area of a Polygon?

To find the area of a polygon, decompose the polygon into known shapes and find the area of each shape, then add all.

Thus:

Decomposing the polygon given, we would have rectangle 1 and rectangle 2.

Area of rectangle 1 = length × width = 7 × 10 = 70 ft²

Area of rectangle 2 = length × width = 24 × (21 - 10) = 264 ft²

Area of the polygon = 264 + 70 = 334 ft²

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Consider the arithmetic sequence presented in the table below.
n 3, 64
an 126 3,725
Hint: an = a1 + (n - 1), where a is the first term and d is the common difference.

Part A: What is the first term, a1, of the sequence? (2 points)

Part B: What is the general term equation, an, for this sequence? (1 point)

Part C: What is the value of the 13th term of this sequence? (1 point)

Answers

Answer:

3; 5; 35

Step-by-step explanation:

Sorry can’t help

Please help for this question what is the function and thanks

Answers

Answer:

b) local minimum at [tex]x=\frac{1}{e}[/tex]

c) Graph of the function is convex

Step-by-step explanation:

We are told that [tex]f'(\frac{1}{e})=0[/tex], which implies there is a turning/stationary point at [tex]x=\frac{1}{e}[/tex].

Substituting [tex]x=\frac{1}{e}[/tex] into [tex]f''(x)[/tex] will tell us if the turning point is a minimum or a maximum:

[tex]f''(\frac{1}{e})=\frac{1}{\frac{1}{e} } =e>0 \implies \textsf{local minimum}[/tex]

Therefore, statement a) is false and statement b) is true.

If the function has a minimum turning point, then this implies that the curve is convex.  Therefore, statement c) is true.

Extremum = local min and max points.

We have already established that there is a local minimum at [tex]x=\frac{1}{e}[/tex], therefore statement d) is false.

I know this is not needed for this question, but here are the workings to detemine the equation of the function (I've also attached a graph).  This supports the answers above.

[tex]\textsf{if} \ f''(x)=\frac{1}{x}\\\\\implies f'(x)=\int f''(x) \ dx \\\\\implies f'(x)=ln|x|+C\\[/tex]

[tex]\textsf{if} \ f'(\frac{1}{e})=0\\\\\implies ln|\frac{1}{e}|+C=0\\\\\implies -1+C=0\\\\\implies C=1\\\\[/tex]

[tex]\implies f'(x)=ln|x|+1\\[/tex]

[tex]\textsf{if} \ f'(x)=ln|x|+1\\\\\implies f(x)=\int f'(x) \ dx\\\\\implies f(x)=xln(x)-x+x+C\\\\\implies f(x)=xln(x)+C[/tex]

I need help with this question!

HELP!!!!

Answers

Answer:

add 200 for each of the In

Step-by-step explanation:

10 plus 200 is 210

211 = 411

536 = 736

1406 = 1606

Answer: for the 211 input the output is 411 and the 536 input has a 736 input

Step-by-step explanation:

It’s adding 200 each time

please helppppppppppppppppppppppp

Answers

Just multiples them , and after you will get an answe

Four movie tickets cost $34.00. How much do seven movie tickets cost?

Answers

Answer:

7 movie tickets 59.5

Step-by-step explanation:

divide 34 by 4 and then you get 8.5 then multiply that by 7

Divide 34 by 4 grab that answer and multiply it by 7 so you’re answer is 59.50

What is 12/5 turned into a mixed number

Answers

Answer: 2 2/5

Step-by-step explanation:

Denominator stays the same, divide 12 and 5, remainder at the top

At a hockey game, a vender sold a combined total of 217 sodas and hot dogs. The number of sodas sold was 59 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold

Answers

Answer:

sodas sold = 138

hot dogs sold = 79

Step-by-step explanation:

let s = number of sodas sold

let h = number of hot dogs sold

equation 1:    h + s = 217

equation 2:    h + 59 = s

Substitute equation 2 into equation 1 and solve for h:

⇒ h + (h + 59) = 217

⇒ 2h + 59= 217

⇒ 2h =158

⇒ h = 79

Substitute found value of h into equation 2 and solve for s:

⇒ 79 + 59 = s

⇒ s = 138

answer:

number of hot dogs is 79

number of sodas is 138

explanation:

let the number of hot dogs sold be xthen number of sodas is x + 59

solve:

Therefore:

x + x + 59 = 217

2x = 158

x = 79

79 hot dogs

now find [ x + 59 ], number of soda's

79 + 59

138 sodas

can someone please help me with this question

Answers

Answer:

1.9.75x> 195

2.9.75x> 195

9.75/9.75x>195/9.75

x>20hrs

Find a polynomial f (x) of degree 5 that has the following zeros.
9, 6, -8, 7, 0
Leave your answer in factored form.

Answers

Answer:

[tex]f(x)=x(x-9)(x-6)(x+8)(x-7)[/tex]

Step-by-step explanation:

If [tex]9=x[/tex]  then [tex]x-9=0[/tex]

If [tex]6=x[/tex]  then [tex]x-6=0[/tex]

etc.

So  [tex]f(x)=x(x-9)(x-6)(x+8)(x-7)[/tex]

Which of the following is the largest decimal number? *
0.231 .231 .03 .2

Answers

0.231 and .231 are the same and they are the largest (the zero in front of decimal doesn't make a difference)
.03 is in the hundreths place which makes it the smallest
.2 is not as big as 0.231 because is does not have any hundreths or thousandths attached to it to make it slightly larger

6(2x-3)-2(2x+1)

expand and simplify

Answers

Answer:

8x-20

Step-by-step explanation:

Distribute:

12x-18-2(2x+1)

12x-18-4x-2

Collect like terms:

8x-18-2

Answer:

8x-20

why is it important to convert your equation from standard form to slope intercept? How can this help you graph your equation?

Answers

Answer:

The slope intercept form is used to find the y-intercept and the slope of a straight line. If you look closely, it is a linear function too; meaning the function can tell you its domain and range.

The 5th grade classes at Brookfield School used 5 identical buses to go on a field trip.

There were a total of 40 seats on each bus.
All of the seats on 4 buses were filled.
The fifth bus had 4/5 of the seats filled.
1/8 of all the passengers on the buses were adults.


How many adults went on the field trip with the 5th grade classes?

Answers

1/8 x 5 = 5/8

5/8 of the passengers were adults :)

Solve for m
bm + h = 9x

Answers

࿐αɴѕωєя࿐

m = 93 - h / b

Step-by-step explanation:

bm + h = 93

bm = 93 - h

m = 93 - h / b

Hope it helps ⚜

Which graph correctly shows the solution of the compound inequality 3x > and 9x<54?

Answers

Answer:

D

or the bottom answer

Step-by-step explanation:

3x ≥ 3 and 9x < 54

÷3    ÷3      ÷9    ÷9

x ≥ 1             x < 6

"and" means joined together

"≥" means filled in

"<" means not filled in

I hope this helps!

Find a solution to the system of equations.
5x+2y=16
7x+3y=23
X= Y=

Answers

Answer:

x = 2 and y = 3

Step-by-step explanation:

-3(5x+2y=16)

2(7x+3y=23)

-15 x - 6y = -48

14 x + 6y = 46

the y's cancel out

- x = - 2

x = 2

5x + 2y = 16

5(2) + 2y = 16

2y = 6

y = 3

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