A triangle has an angle that measures 50 degrees. the other two angles are in a ratio of 3:10. What are the measures of those two angles

Answers

Answer 1

Answer:

100 degrees, 30 degrees

Step-by-step explanation:

Write an expression for the measures of the other two angles:

one angle = 3x

other angle = 10x

These are in the ratio 3:10, but you don't know the value of x YET!

Fact: all 3 angles sum to 180 degrees.

50 + 3x + 10x = 180

50 + 13x = 180

13x = 130

x = 10

Now plug this value into the two expressions for the angle measures.

one angle = 3(10) = 30 degrees

other angle = 10(10) = 100 degrees


Related Questions

Kim and Kate sell gym memberships. Kim earned $50 her first day of work and $75 each day after that. Kate earned $35 her first day of work and $75 each day after that. Part A Find the pattern for calculating the amount that Kim and Kate each earn. Use the drop-down menus to complete the statements. For Kim, start at 50 and add 75 for each day after the first day. For Kate, start at 35 and add 75 for each day after the first day. Part B How much will each have earned after 4 days? Drag numbers to complete the sentence. Numbers may be used once, more than once, or not at all. 180 225 260 275 330 375 Kim will have earned $ and Kate will have earned $ after 4 days.

Answers

For Kim, start at  50  and add  75  for each day after the first day.

For Kate, start at  35  and add  75  for each day after the first day.

Part B

How much will each have earned after 4 days? Drag numbers to complete the sentence. Numbers may be used once, more than once, or not at all.

Kim will have earned $ 275  and Kate will have earned  260  after 4 days.

Please look at the screenshot

Answers

Given:

The figure of circle E. [tex]m\angle ABD=(11x-3)^\circ,m\angle ACD=(8x+15)^\circ[/tex].

To find:

The measure of arc AD.

Solution:

We know that the inscribed angles on the same arc are congruent and their measures are equal.

[tex]\angle ABD[/tex] and [tex]\angle ACD[/tex] are inscribed angles on the same arc AD. So,

[tex]m\angle ABD=m\angle ACD[/tex]

[tex]11x-3=8x+15[/tex]

[tex]11x-8x=3+15[/tex]

[tex]3x=18[/tex]

[tex]x=6[/tex]

Now,

[tex]m\angle ABD=(11x-3)^\circ[/tex]

[tex]m\angle ABD=(11(6)-3)^\circ[/tex]

[tex]m\angle ABD=(66-3)^\circ[/tex]

[tex]m\angle ABD=63^\circ[/tex]

We know that the intercepted arc is always twice of the inscribed angle.

[tex]m(Arc(AD))=2\times m\angle ABD[/tex]

[tex]m(Arc(AD))=2\times 63^\circ[/tex]

[tex]m(Arc(AD))=126^\circ[/tex]

Therefore, the measure of arc AD is 126 degrees.

Find the difference:
5 2
7 7​

Answers

If your referring to a Fraction which would be 5/7 and 2/7 the difference is 2/7 is not greater than 5/7 because to get the answer you convert each fraction into decimal numbers. We do this by diving the numerator by the seminar or for each fraction.

As you see here this is an example:

2/7=0.286
5/7=0.714

Then compare the two decimal numbers to get the answer. 0.286 is not greater than 0.714. Which means

2/7<5/7

Answer:

3

0

Step-by-step explanation:

Difference means subtraction

5-2 =3..

7-7=0

Evaluate:

1/2×2.4×2.4×7=

Answers

Answer:

20.16

Step-by-step explanation:

hope it helps!!:)

PLZZZZZ HELP ILL GIVE BRAINLIEST

Answers

Answer:

Hello! Your answer would be, 199.

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Abby

Simplify and express
[tex]2 \sqrt{2} - \frac{3}{ \sqrt{2} } + \frac{4}{ \sqrt{8} } [/tex]
as a single surd​

Answers

First a few reminders:

• For a ≠ 0 and b ≥ 0, [tex]\sqrt[a]{b}=b^{\frac1a}[/tex]

• 4 = 2² and 8 = 2³

• For real numbers a, b, c, we have [tex](a^b)^c=a^{bc}[/tex]

• For any real numbers a and n (so long as both are not zero), we have [tex]\frac1{a^n}=a^{-n}[/tex]

• For any numbers a, b, c, [tex]a^b\times a^c=a^{b+c}[/tex]

So we have

[tex]\sqrt2=2^{\frac12}[/tex]

[tex]\dfrac1{\sqrt2}=2^{-\frac12}[/tex]

[tex]\dfrac1{\sqrt8}=\dfrac1{(2^3)^{\frac12}}=2^{-\frac32}[/tex]

Then the given expression can be rewritten as

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2\times2^{\frac12}-3\times2^{-\frac12}+2^2\times2^{-\frac32}[/tex]

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{1+\frac12}-3\times2^{-\frac12}+2^{2-\frac32}[/tex]

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{\frac32}-3\times2^{-\frac12}+2^{\frac12}[/tex]

Pull out a factor of [tex]2^{-\frac12}[/tex]:

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{-\frac12}\left(2^{\frac32+\frac12}-3+2^{\frac12+\frac12}\right)[/tex]

Simplify this:

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{-\frac12}\left(2^2-3+2^1\right)=2^{-\frac12}(4-3+2)=3\times2^{-\frac12}=\dfrac3{\sqrt2}[/tex]

Rationalize this last result to get the square root out of the denominator:

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=\dfrac3{\sqrt2}\times\dfrac{\sqrt2}{\sqrt2}=\dfrac{3\sqrt2}{(\sqrt2)^2}=\boxed{\dfrac{3\sqrt2}2}[/tex]

The mass of a gold atom is 3.29 x 10-22 grams. The mass of a helium-4 atom is
6.65 x 10-24
grams. How many times greater is the mass of a gold atom than the
mass of a helium-4 atom? Write your answer in standard notation, rounding to the
nearest tenth.

Answers

Answer:

um, I checked the questions you asked and we have the same questions, I think we might be in the same school lol

There are 4.9 x 10³ times greater is the mass of a gold atom than the mass of a helium-4 atom.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The mass of a gold atom is 3.29 x 10⁻²² grams.

And, The mass of a helium-4 atom is, 6.65 x 10⁻²⁴ grams.

Hence, The amount of greater is the mass of a gold atom than the mass of a helium-4 atom is,

⇒ 3.29 x 10⁻²² /  6.65 x 10⁻²⁴

⇒ 0.49 x 10²

⇒ 4.9 x 10³

Thus, There are 4.9 x 10³ times greater is the mass of a gold atom than the mass of a helium-4 atom.

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find x. please explain

Answers

Multiply 12 x 30 and divide by 90= 4

Answer:4

Answer:

5

Step-by-step explanation:

We can figure out the triangle is 30-60-90. So we use the pythagorean theorem. 13^2 - 12^2 = x^2.     25 = x^2.     square root of 25 is 5.

Do Whole numbers include negative numbers? Please help, thanks!

Answers

Answer:

negative numbers aren't whole numbers but they are considered to be integers

Answer:Whole numbers don't include negative numbers, fractions, or decimals.

Step-by-step explanation:

depends please comment give more ifnomation on what you are saying if you dont understand

I literally do not understand this at all. PLEASE HELP ASAP

Answers

I think the answer is 6
The answer is 4.
Plug in the (-5) in the x.

i need help with question 2!!!! please help soon this is graded and i will give u brainliest!!!

Answers

Answer:

12.

Step-by-step explanation:

Area = base * perpendicular height

= 6 * 2 = 12.

Answer:

12 square units

Step-by-step explanation:

6 x 2 = 12

The ends of the parallelogram are triangles, so you can just multiply the base times height.

What is the lateral surface area?
7 A cylindrical pipe measures 18 inches and has a diameter of 1 inch. How many square inches of metal
are used to make the pipe, which is open on both ends? Round your answer to the nearest hundredth.
1 2 3
4
5 6
7
8
9
10
Next
M

Answers

The first time in a year I have been to a couple years of the whole year of my life I cant it and my family is very very happy and i love

Does Brainly help with Geometry?

Answers

Answer:

Yes!

Step-by-step explanation:

Brainly can function as an algebra practice tool, a geometry solver, and a fraction calculator.

What is Geometry?

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects. A geometer is a mathematician who specialises in geometry.

The three most popular types of geometry are solid geometry (which deals with items like the line, sphere, and polyhedron) and spherical geometry (which deals with objects like the spherical triangle as well as spherical polygon). Plane geometry deals with objects such as the point, line, oval, triangle, and polygon.

Thus, Brainly can function as an algebra practice tool, a geometry solver, and a fraction calculator.

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A spinner is 1/6 red, 1/12 blue, 1/2 yellow and 1/4 green, what is the probability of spinning red or yellow?

Answers

Answer:

2/24

Step-by-step explanation:

This is because there are chance of getting the other colors.

If the same textbook is in a lower shelf that is o.75 m above the floor. What is its potential now?

Answers

Answer:

PE = 51.45 Joules

Step-by-step explanation:

PE = mgh

= (7.0 kg)(9.8m/s^2)(0.75 m)

= 51.45 Joules

그 기 . 1 1 키 Which normal distribution has the greatest standard deviation? O O 80 88 104 112​

Answers

Answer:

그 기 = That Flag

키 = Key

I think it is 112.

Step-by-step explanation:

Help me please! I need to get this done to go outside :(​

Answers

Answer:

98ft.

Step-by-step explanation:

Question is asking for the total square feet of laminate wood to cover the entire retail store. Add all the sides together to get your answer.

Pleaseee help me I’m stuck

Answers

Answer:

11

Step-by-step explanation:

an equation is shown. x + 3 = 8.5 what is the solution to the equation

Answers

Answer:

mbcnnb.hhhhjsjsjsnwjwnnwnwnenenebebeneme dcecvejsksmemebeccehsnsnsne evvenekeiekekenbegegevebbehehenebebbebebendhfhhcjcmc d d ecevegjskdkdklxbxbcbfdvvdvdhejrklnssfbmjffbb c

Step-by-step explanation:

nbsnsmsmlslakwj

X = 5.5 I’m pretty sure

No Links or I will report you Algebra 1 help 2 questions Interpret Exponential Function Constant

Answers

Answer:

1) The function is decreasing exponentially at a rate of 15% every decade.

2) The function is increasing exponentially at a rate of 20% every year.

Step-by-step explanation:

1) 1–0.85 = 0.15

0.15 x 100 = 15%

2) 1.2–1 = 0.2

0.2 x 100 = 20%

In parallelogram NPQR if NS=20 find SQ

Answers

Answer:SQ=20

Step-by-step explanation:

NS=20

NS=SQ

SQ=20

The value of SQ is 20

What is parallelogram?

The Greek word "parallelogram on," which means "bounded by parallel lines," is where the term "parallelogram" comes from. As a result, a parallelogram is a quadrilateral with parallel lines defining its boundaries. The opposite sides are parallel and equal in this shape. There are three main classes of parallelograms: square, rectangle, and rhombus each have their own distinct characteristics.

Given a parallelogram NPQR

and NS = 20 to find the value of SQ

since S is the intersecting point of diagonals of parallelogram,

so NS = SQ

The two diagonals cut across one another. The parallelogram is divided into two congruent triangles by each diagonal. The sum of the squares of a parallelogram's diagonals and all of its sides is the same.

SQ = 20

Hence for parallelogram SQ = 20.

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The complete question is attested in image.

To the nearest tenth, what percentage of people were in the 41 - 50 age group and favored the Do-It-Yourself books?
A. 9.2%
B 20.4%
C. 45.1%
D. 57.1%

HELPP ASAP

Answers

Answer: it should be 9.2%

Step-by-step explanation:

The  percentage of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books will be [tex]9.2\%[/tex] .

What is Percentage ?

Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, [tex]"\%"[/tex] .

Percentage [tex]=\frac{Obtained\ Number}{Total\ Number} *100[/tex]

We have,

Total number of people [tex]=750[/tex]

Number of people in the [tex]41 - 50[/tex] age group [tex]=268[/tex]

Number of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books [tex]=69[/tex]

So,

Percentage of favored the Do-It-Yourself books in the [tex]41 - 50[/tex] age group [tex]=\frac{Do-It-yourself\ 41-50\ age}{Total\ Number\ people} *100[/tex]

[tex]=\frac{69}{750} *100[/tex]

[tex]=9.2\%[/tex]

So,  the percentage of people is  [tex]9.2\%[/tex] .

Hence, we can say that the percentage of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books will be [tex]9.2\%[/tex] .

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What is the perimeter of the rectangle with the vertices shown below? A(4, 7), B(4, 15), C(9, 15), D(9,7)

Answers

Answer:

[tex]X=26[/tex]

Step-by-step explanation:

From the question we are told that:

Co_ordinates of rectangle:

[tex]A(4, 7),\\ B(4, 15),\\C(9, 15),\\D(9,7).[/tex]  

Generally the equation for rectangular Perimeter X is is mathematically given by

[tex]X=2(length+breath)\\X=2L+2B[/tex]

Generally the Length of the rectangle is mathematically given by

[tex]L=(y\ axis\ co-ordinate\ of\ C)-(y\ axis\ co-ordinate\ of\ D)\\or\\L=(y\ axis\ co-ordinate\ of\ B)-(y\ axis\ co-ordinate\ of\ A)[/tex]

Therefore

[tex]L=15-7\\L=8[/tex]

Generally the Breath of the rectangle is mathematically given by

[tex]B=(x\ axis\ co-ordinate\ of\ D)-(x\ axis\ co-ordinate\ of\ A)\\or\\B=(y\ axis\ co-ordinate\ of\ C)-(y\ axis\ co-ordinate\ of\ B)[/tex]

Therefore

[tex]B=9-4\\B=5[/tex]

Generally the rectangular Perimeter X is is mathematically given by

[tex]X=2(8)+2(5[/tex]

[tex]X=26[/tex]

area of triangle with
width= 18cm
breadth=14cm
height=11cm

Answers

Answer:

99

Step-by-step explanation:

i have all the steps in the comments of ur question

the table below shows the values for the function y=f(x). complete the table for the function y=f(1/5x).

Answers

x y

-4 -4/5

-1 -1/5

0 0

3 3/5

6 6/5

Step-by-step explanation:

So fill in the same numbers for x. then multiply them by 1/5 since the function is 1/5 times x.

Find the perimeter show all work

Answers

Answer:

38 cm

Step-by-step explanation:

The perimeter is the sum of the sides

Starting from the left and going clockwise, then

9 + (10 - 6) + (9 - 2) + 6 + 2 + 10

= 9 + 4 + 7 + 6 + 2 + 10

= 38

Answer: 35 cm

Step-by-step explanation: to find the perimeter you add all the sides but sense there is on side that doesn't have a number you subtract 2 from nine then add all the sides plus 7.

7.5% of what number is equal to 85% of 200?
Help

Answers

2266 and 2/3s. 85% of 200 is 170. 170/7.5 = 22.66666 x100 = 2266.66

7th grade math unit 5 class review#1 equations and inequalities

Answers

What’s the question??

what is equivalent to ( 24m-8)‐(3m+1)​

Answers

Answer:

(24m-8)-(3m+1)

24m-8-3m-1 (expanding)

24m-3m-8-1 (collect like terms.)

21m-9 (simplified form)

- ( Intercepts form two points form )

If A ( a , b ) and B ( b , a ) lie in 6x-y =1 and 2x - 5y = 5 respectively , find the equation of AB. Show your workings too!

~Thanks in advance! :D ​

Answers

Answer:

Solution given:

A(a,b) lie in 6x-y =1

substituting value of A in equation ,we get

6a-b=1...................(1)

B(b,a) lie in 2x - 5y = 5

substituting value of B in equation ,we get

2b-5a=5

b=5(a+1)/2............(2)

substituting value of b in equation 1 ,we get

6a-5(a+1)/2=1

12a-5a-5=2

7a=2+5

a=[tex] \frac{7}{7} [/tex]=1

substituting value of a in equation 1 ,we get

6×1-b=1

6-1=b

b=5

so points are A(1,5) and B(5,1)

we have

equation of line having two points

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1) [/tex]

[tex](y - 5) = \frac{1-5}{5-1} (x - 1) [/tex]

[tex](y - 5) = -1 (x - 1) [/tex]

y-5=1-x

x+y=6 is a required equation of line AB.

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