can the angles with measures 80o , 55o and 65o form angles on a line

Answers

Answer 1

Answer:

Nope, this is because the angles in a triangle add up to 180, whereas these values added are equal to 200 degrees

Answer 2

No, the angles with measures 80°, 55°, and 65° cannot form angles on a line.

In geometry, angles on a line are also known as "linear angles" or "straight angles." A straight angle measures 180°, and it is formed by two rays that point in opposite directions and share a common endpoint, creating a straight line. To determine if the given angles can form a straight angle, we need to add their measures.

Let's calculate the sum of the given angles:

Sum = 80° + 55° + 65°

       = 200°

Since the sum of the given angles (200°) is not equal to 180°, it means that the angles cannot form a straight line. Instead, they form a shape that is not a straight angle, such as a triangle or a polygon.

In this case, the given angles form a triangle since they satisfy the triangle inequality theorem. The sum of any two sides of a triangle is always greater than the third side. Mathematically, for a triangle with sides of lengths a, b, and c, the inequality holds: a + b > c, b + c > a, and c + a > b.

Therefore, the angles with measures 80°, 55°, and 65° cannot form angles on a line but rather form a triangle with a sum of 180°, satisfying the triangle inequality.

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Related Questions

Which is longer - the radius or the circumference of a circle?

Answers

circumference because radius is about half a circle

Answer:

Circumference of a circle

Step-by-step explanation:

The circumference of a circle is longer than its radius of the circle.

3. f(-4) - 3.9(-2) =

Answers

Answer:

Step-by-step explanation:

Help if you can. Thank You.

Answers

Answer:

[tex]Given:-[/tex] Δ ABC

[tex]AC~is~exteuded ~through ~C~to ~D[/tex]

[tex]BC~is ~drawn ~to ~AC[/tex]

[tex]Using ~Triangles~Exterior~angle~theorm,[/tex]

1) =∠3+∠4 and ∠4=∠5+∠6

∠7=∠3+∠2

So, only D) m∠7=m∠3+m∠2 is correct

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

hope it helps..

have a great day!!

How can you solve X^2 +2x=-1

Answers

X(x+2)=-1

X=-1
X=-3

I’m not really sure of my answe but I tried my best so good luck!!

365.12x =36,512 please help ​

Answers

Answer:

x = 100

Step-by-step explanation:

365.12 x = 36512

36512 / 365.12 = x

x = 100

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Fill in the blanks on the unit circle.
HELP ASAP

Answers

top left: -1/2 , rad 3/2
top right: rad 2/2, rad 2/2
small one on the right: 30
small one on bottom left: 225
bottom left: -1/2, rad 3/2
bottom right: 1/2, -rad 3/2

I need help with can you guys show me the work.

Answers

Answer:

Δy = 30 ft.

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 17.5°

Hypothenus = 100 ft

Opposite = Δy =?

The value of Δy can be obtained by using sine ratio as follow:

Sine θ = Opposite / Hypothenus

Sine 17.5 = Δy / 100

Cross multiply

Δy = 100 × Sine 17.5

Δy = 30 ft

How is this one done?

Answers

If ur answer (in this case, its 52) is greater than 0, then there are two real solutions.
If it is equal to 0, then there is one solution
And if it is less than 0, there are no real solutions.

Therefore, there are 2 solutions.

Find mZP.
P
26
2./13
R
mZP =
I’m confused

Answers

Answer:

45 degrees

Step-by-step explanation:

Since we have a right triangle, we use the appropriate trigonometric ratio

The angle marked P faces QR and that makes it the opposite side

PR faces the right angle and that makes it the hypotenuse

The trigonometric ratio that links the opposite and the hypotenuse is the sine

It is the ratio of the opposite to the hypotenuse

Thus;

sin P = √26/2 √13

Sin P = √2/2

P = arc sin √2/2

P = 45 degrees

−3x + 3 < 6 can someone help

Answers

Answer:

X > -1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x < -1

Step-by-step explanation:

1) Isolate the variable by dividing each side by factors that don't contain the variable.

Find the volume of a pyramid with a square base, where the perimeter of the base is 16.9\text{ cm}16.9 cm and the height of the pyramid is 19.6\text{ cm}19.6 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answers

Answer:

Volume of square based pyramid = 116.62 cm³

Step-by-step explanation:

Given:

Perimeter of square base = 16.9 cm

Height of pyramid = 19.6 cm

Find:

Volume of square based pyramid

Computation:

Perimeter of square base = 16.9 cm

4[Side] = 16.9

Side = 4.225 cm

Area of square = Side x Side

Area of square = 4.225 x 4.225

Area of square = 17.85 cm²

Volume of square based pyramid = [Area of square][Height of pyramid] / 3

Volume of square based pyramid = [17.85][19.6] / 3

Volume of square based pyramid = 349.86 /3

Volume of square based pyramid = 116.62 cm³

What is the surface area of the regular pyramid below? 19 16 16

A. 864 units²
B. 856 units²
C. 756 units²
D. 952 units²​

Answers

Answer:

A. 864 units²

Step-by-step explanation:

(16×16)+(4×½×16×19)

= 256 + 608

= 864

The surface area of the regular pyramid is S = 864 units²

What is the surface area of the pyramid?

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be S

Now , let the base area of the pyramid be B

where the side length of the pyramid is a = 16 units

So , B = 16² units² = 256 units²

And , let the height of the pyramid be h = 19 units

And , the perimeter of the pyramid P = 4 x 16 = 64 units

So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

On simplifying , we get

S = 256 + ( 1/2 ) ( 64 x 19 )

S = 256 + 608

S = 864 units²

Hence , the surface area is 864 units²

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so sánh căn 3+ căn 2 và căn 2 + căn 6

Answers

Answer:

13 is the correct answer

Answer:

Step-by-step explanation:

căn 2 + căn 6 lớn hơn

2. R10 000 is invested for two years at 8% per year compounded quarterly
a) Calculate the value of the investment after two years.
b) Determine the Interest earned by the investment.​

Answers

A because you only gave 2 options so that would be logical !

Brainliest goes to whoever answers correctly I have other questions if you want more points

Answers

Answer:

C

Step-by-step explanation:

Find the graph that shows temperatures decreasing. Two of the graphs show that it's decreasing; C and D. When something is in a constant rate, it is going to be a straight line (doesn't mean it can't be slanted!). Therefore it is C.

Which table represents a linear function?

Answers

Answer would be C b/c it just is okay ! Get me point already

Answer:

c I am pretty sure of deep nuts u am playin it c

The formula for the lateral area of a right cone is LA = rs, where r is the radius of the base and s is the slant height of the cone.

Which are equivalent equations? Select two correct answers.

Answers

Step-by-step explanation:

The formula for the lateral area of a right cone is :

LA = rs

Where

r is the radius of the base and s is the slant height of the cone

Equivalent expression,

[tex]r=\dfrac{LA}{s}[/tex]

or

[tex]s=\dfrac{LA}{r}[/tex]

Hence, this is the required solution.

In this exercise we have to use the formula for volume of the cone and we find that:

[tex]s=\frac{LA}{r}[/tex]

The formula for the lateral area of a right cone is :

LA = rs

Where:

r is the radius of the base s is the slant height of the cone

Equivalent expression is:

[tex]s=\frac{LA}{r}[/tex]

See more about volume at brainly.com/question/1578538

The volume of a rectangular prism is 840 in3. If the area of the base 60 in2 , find its height. Draw and label a model to show your thinking.

Answers

Answer:

14in

Step-by-step explanation:

Given data

Volume of prism= 840in^3

Base= 60 in^2

Height=????

The expression for the volume is given as

V= L*B*H

V= Area*H

840=60*H

Divide both sides by 60

H= 840/60

H= 14 in

Hence the height is 14in

The price of a mobile phone was £980.
In a sale the price is reduced by 25%.
On the final day the sale price is reduced by a further 8%.
How much is saved in total by buying the mobile phone on the final day
of the sale?

Answers

Answer:

Amount saved = £ 303.80

Step-by-step explanation:

Original Price = £980

After 25% discount :

                            [tex]980 - (25 \% \times 980) = \£ 735[/tex]

On the final day further discount of 8%.

That is ,

       [tex]735 - (8 \% \times 735) = \£ 676.20[/tex]

Total savings if buying on the final day of sale = 980 - 676.20 =£303.80  

CAN SOMEONE HELP ME I HAVE LIKE LESS THAN 15 MINUTES TO FINISH

Answers

Experimental probability of the name Alex being drawn is 4/10

This is because out of the ten times a name was drawn, Alex was drawn four times.

If the experiment was repeated 1,000 times, Ella's name could be expected to be drawn 200 times.

This is because of the ten names drawn, Ella's name was drawn twice which is 20% and 20% of 1,000 is 200.

A tablet and a digital camcorder are both on sale for 30% off. The regular price of the tablet is $185. The regular price of the camcorder is $140.

Part A
Find the sale price of the tablet. Explain.


Part B.
Dylan wants to buy both the tablet and
the camcorder. How much will he pay if he buys them during the sale?

Answers

Answer:

355

Step-by-step explanation:

$355 because have you got to add 185 with 140 that will get you that 322 then u got to add to 322 with 30

Which expression is equivalent to

Answers

Answer:

2 * x^10 * y^12

Step-by-step explanation:

when dividing by exponents with the same base, you subtract the exponent.

You have 88 grams of a radioactive kind of actinium. How much will be left after 44 years if its half-life is 22 years?

Answers

Answer:

22 grams

Step-by-step explanation:

loses 50% of it's mass per 22 years

so after 22 years the mass would be 44 grams

22 years later would leave 50% of 44 grams = 22 grams

A store sells two different packages of soda as described below. (Standard 6.EE.9) Package A: 18 soda Package B: 10 soda Write an equation for Package A and an equation for Package B that represent the total number of sodas, g, in p packages.

Answers

Answer:

[tex]g = 18p[/tex] --- A

[tex]g = 10p[/tex] ---- B

Step-by-step explanation:

Given

[tex]Package\ A: 18\ soda[/tex]

[tex]Package\ B: 10\ soda[/tex]

Required

The equation of both packages

The given details represent the number of sodas in each package.

So, the equation of A is:

[tex]g = 18p[/tex]

And the equation of B is:

[tex]g = 10p[/tex]

2- La longueur d'un rectangle mesure 2 cm de plus que le triple de sa largeur. Si le périmètre de ce rectangle est supérieur à 12 cm, mais d'au maximum 48 cm, dans quel intervalle se situe la largeur de ce rectangle?​

Answers

Answer:

5 < L < 18,5

5 < L < 18,52 < W < 5,5

Step-by-step explanation:

longeur = length = L

largeur = width = W

L = 3W +2

12 < 2L+2W < 48

———————————————

12 < 2*(3W+2)+2W < 48

12 < 6W+4 +2W < 48

12 < 8W+4 < 48

8 < 8W < 44

2 < W < 5,5

———————————————

12 < 2L+2W < 48

L = 3W +2

L - 2 = 3W

L/3 -2/3 = W

12 < 2L +2*(L/3 -2/3) < 48

12 < 2L + ⅔L -4/3 < 48

12 < 2⅔L -4/3 < 48

13⅓ < 2⅔L < 49⅓

5 < L < 18,5

hope it helps.

brainly exists in French too. brainly.fr or switch country in app

2. Which relations are functions? Explain. For each graph, state the domain and range.

Answers

Answer:

A. and C. neither of them have a repeating y value if you input a vertical line on the graph

How are exponents and roots related? ​

Answers

Step-by-step explanation:

sana po nakatulong sainyo thanks❤

1.Round 3 601 111 to the nearest million
2. Round 17.81 to the nearest whole number
3. Round 59.52 to the nearest 1 d.p.
4. Round 7.176 to the nearest 2d.p.
(Pls help me…)

Answers

Answer:

See explanation

Step-by-step explanation:

Rules to follow when rounding

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Eg: 56 rounded to the nearest ten is 60

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 23 rounded to the nearest ten is 20

3. All the numbers to the right of the place you are rounding to become zero

1.Round 3 601 111 to the nearest million

= 4,000,000

2. Round 17.81 to the nearest whole number

= 18

An whole number is a number without a decimal point

3. Round 59.52 to the nearest 1 d.p.

= 59.5

1 d.p means one digits after the decimal point

4. Round 7.176 to the nearest 2d.p.

= 7.18

2 d.p means two digits after the decimal point

A candy bar sells for 4 for $5. How many can be bought for 20 dollars?
100 bars
80 bars
16 bars
4 bars

Answers

Answer:

The number of candy which can be bought for 20 dollars is 16 candies. Hence, the required answer is 16. The number of candy bars that can be bought for $20 are 16.

16 candy bars can be bought for 20 dollars. Hence, the correct answer is C.

An expression is a mathematical representation or statement that combines variables, constants, and mathematical operations. It does not contain an equals sign (=) and does not make a statement of equality or inequality. Instead, an expression represents a value or a computation.

To determine how many candy bars can be bought for 20 dollars, we need to use the given information that 4 candy bars can be purchased for $5.

To find the cost of one candy bar, we divide $5 by 4:

Cost of one candy bar = $5 / 4 = $1.25

Now, we can calculate how many candy bars can be bought for $20 by dividing 20 by the cost of one candy bar:

Number of candy bars = $20 / $1.25 = 16

Therefore, 16 candy bars can be bought for 20 dollars. Hence, the correct answer is 16 bars.

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What is the total SURFACE AREA of a cylinder with a radius of 5 cm and a height of 7 cm?

Answers

Answer:

SA=376.9911184cm^2

Step-by-step explanation:

SA=2πrh+2πr^2

376.9911184cm^2=(2*π*5*7)+(2*π*5^2)

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