Which set of angles can form a triangle?

A: 2 acute and 1 right

B: 1 acute and 2 obtuse

C: 1 acute and 2 right

D: 1 acute, 1 right and 1 obtuse

Answers

Answer 1

Answer:

A: 2 acute and 1 right

Step-by-step explanation:

A triangle is a polygon that has 3 sides as well as three angles

Triangles can be can be classified based on their three sides as well as their three angles.

Based on their sides, we have 3 types of triangles.

1. Equilateral triangle: This means they have 3 equal sides.

2. Isoceles triangle: They have only 2 equal sides.

3. Scalene triangle: The 3 sides are not equal

Based on their angles, we have 3 triangles.

a. Acute triangle

b. Obtuse triangle

c. Right angle triangle.

One of the way by which we can form a triangle, is by forming it with 2 acute angles and 1 right angle.

Answer 2

Answer:

The correct option is;

A: 2 acute and 1 right

Step-by-step explanation:

Here we have the definitions of the angles as follows;

The sum of angles in a triangle = 180°

An acute angle is an angle less than 90°

An obtuse angle is an angle more 90 ° but less 180°

A right angle triangle is an angle equal to 90°

∴ A right angle triangle is an angle = 90°

Therefore, we compare each of the options

A: 2 acute and 1 right = <90 +<90 +90 < 180 =180 or >180 Possible

B: 1 acute and 2 obtuse = 1<90 + > 90 +>90 > 180°

C: 1 acute and 2 right = <90 + 90 + 90 > 180

D: 1 acute + 1 right + 1 obtuse = <90 + 90 + >90 > 180

Therefore, the only possible correct option is A.


Related Questions

if anyone know probability stuff pls help w this!!

Answers

Answer:

A - 9/34

B - 7/34

Step-by-step explanation:

A girl grabs a lollipop - 9/34 (Event A)

A boy grabs a fruit chew - 7/34 (Event B)

Because there are 34 possibilities in total....

Thanks!

100 POINTS!!!!!! the following stem and leaf plot shows the number of hours that mrs. dixon's students spent on their pre calc work last week. what is the mean absolute deviation for the data

Answers

Answer:

11.2467

Step-by-step explanation:

First we need to find the mean

Add up all the data and divide by number of points)

(6+7+8+10+12+13+14+17+17+17+18+19+21+23+24+24+25+27+31+31+32+36+36+39+41+45+45+46+49+50)/30

261/10

26.1

Then to find the mean absolute deviation take each value and find the absolute value from the mean and sum it and then divide by the number of points

((26.1 -6)+(26.1-7)+(26.1-8)+(26.1-10)+(26.1-12)+(26.1-13)+(26.1-14)+(26.1-17)+(26.1-17)+(26.1-17)+(26.1-18)+(26.1-19)+(26.1-21)+(26.1-23)+(26.1-24)+(26.1-24)+(26.1-25)+(27-26.1)+(31-26.1)+(31-26.1)+(32-26.1)+(36-26.1)+(36-26.1)+(39-26.1)+(41-26.1)+(45-26.1)+(45-26.1)+(46-26.1)+(49-26.1)+(50-26.1))/30

11.2467

Answer:

11 16/75

Step-by-step explanation:

Find the mean: sum/n

783/30

26.1

Find individual |x - 26.1| and add them:

|6-26.1| + |7-26.1| + ...... + |50-26.1|

= 20.1 + 19.1 + .... + 23.9

= 336.4

M.A.D = 336.4/30

11 16/75

Fiona and Pip win some money and share it in the ratio 3:1. Fiona gets £30. How much did
they win in total?​

Answers

Answer:

£40

Step-by-step explanation:

£30 represents 3 parts of the ratio that Fiona got.

Divide £30 by 3 to find the value of one part of the ratio

£30 ÷ 3 = £10 ← value of 1 part of the ratio

They won £30 + £10 = £40

The radius of a circle is 6mm. What is the area of the shaded portion of the circle.

Answers

The area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3

Area of a sector

From the question, we are to determine the area of the shaded portion.

The shaded portion in the circle is the major sector.

The area of a sector is given by the formula,

[tex]A = \frac{\theta}{360 ^\circ} \times 2\pi r[/tex]

Where [tex]\theta[/tex] is the angle subtended by the sector

and r is the radius of the circle.

From the given information,

r = 6 mm

and [tex]\theta[/tex] is the angle subtended by the major sector

Therefore

[tex]\theta = 360^\circ - 70^\circ[/tex]

[tex]\theta = 290^\circ[/tex]

Putting the parameters into the formula, we get

[tex]A = \frac{290^\circ}{360 ^\circ} \times 2\pi \times 6[/tex]

Simplifying

[tex]A = \frac{29}{3} \tim\pi \ mm^{2}[/tex]

Hence, the area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3

Lear more on area of a sector here: https://brainly.com/question/10090807

Find the area of the shape shown below

Answers

The area of a trapezoid is A = (a+b/2)(h).
So just plug in your numbers.

Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values is 36.

What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.

4.5
6
14
15.5

Answers

Answer:

The standard deviation from the mean is the square root of the variance.

Therefore, SD = sqrt(VAR) = sqrt(36) = 6

Hope this helps!

:)

:PROBLEM Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values  is 36.

QUESTION. What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.

RESULUTIONS

4.5

6

14

15.5

ANSWER.=6

Help!!! multiple choice!

Answers

5.C

6.A

Hope this helps and is correct

two integers that multiply to 18 and add to -11

Answers

Answer:

-9 and 2

Step-by-step explanation:

HHELP HELP PLZZ PLZ SHOW WORK PLZZZZZ

Answers

Answer:

B. 43.3

Step-by-step explanation:

Find the area of one of the triangles:

[tex]\frac{1}{2} *b*h[/tex]

[tex]\frac{1}{2} *5*4.33=10.825[/tex]

10.825*4=43.3

Answer:

B.) 43.3 square centimetres

Step-by-step explanation:

The height is 4.33 cm and the side length is 5 cm. The surface area of the net would be the sum of the areas of all the triangles, which is 4 triangles. Since they are equilateral triangles, you can multiply. Use the formula for the area of a triangle:

[tex]A=\frac{1}{2} bh[/tex]

Insert the values:

[tex]A=\frac{1}{2} *4.33*5[/tex]

Simplify:

[tex]A=\frac{1*4.33*5}{2} \\\\A=10.825[/tex]

Multiply the area of one triangle by 4:

[tex]10.825*4=43.3[/tex]

The surface area of the pyramid is [tex]43.3[/tex] [tex]cm^2[/tex]

:Done

You buy a basket of 24 strawberries. You eat them
as you walk to the beach. It takes the same amount of time to walk
each block. When you are halfway there, half of the berries are gone.
After walking 3 more blocks, you still have 5 blocks to go. You reach
the beach 28 minutes after you began. One-sixth of your strawberries
are left.

a. Is there enough information to find the time it takes to walk each
block? Explain.
b. Is there enough information to find how many strawberries you
ate while walking the last block? Explain.

Answers

Answer:

yes

Step-by-step explanation:

there is enough information

You start with a penny which doubles each day for 30 days. How much money would you have after 30 days?



Answers

Answer:

$5,368,709.12

Step-by-step explanation:

Kono Dio Da!!

Answer:

5368709.12

Step-by-step explanation:

i just did this earlier

HELP I NEED THIS ASAP! IF ANYONE CAN HELP ME SOLVE THIS I WOULD BE REALLY GRATEFUL!

Answers

Answer:

First, you work out the 3 and Tail from the table: T3: 62

Then you add up all values from the table:

S = 43 + 49 + 54 + 65 + 71 +62 = 344

Then the probability of next toss and spin is 3 and Tail is:

P = T3/S = 62/344 = 0.18

21 radical sign p^-4/p^3

Answers

Answer: [tex]p^-^\frac{1}{3}[/tex]

[tex]\sqrt[21]{\frac{p^-^4}{p^3} }[/tex]

[tex]\sqrt[21]{p^-^4^-^3}[/tex]

[tex]\sqrt[21]{p^-^7}[/tex]

[tex]\sqrt[21]{\frac{1}{p^7}}[/tex]

[tex]\frac{\sqrt[21]{1} }{\sqrt[21]{p^7} }[/tex]

[tex]\frac{1}{p^\frac{7}{21} }=\frac{1}{p^\frac{1}{3} }=p^-^\frac{1}{3}[/tex]

solve the equation for x and enter your answer in the box below
x + 14 =27

Answers

Answer: x = 13

Step-by-step explanation: When solving an equation like this, we are trying to get our variable which is our letter by itself.

So we first want to ask ourselves what is the 14 doing to x. Well, we can see that it's being added to x so to get x by itself, we will do the opposite of addition which is subtraction. So we subtract 14 from both sides of the equation.

The +14 -14 cancels out so we're left with x on the left.

On the right, we must subtract 14 from 27 to get 13.

So we have x = 13 which is the solution to this equation.

Answer:

[tex]x = 13[/tex]

Step-by-step explanation:

[tex]x + 14 = 27 \\ x = 27 - 14 \\ x = 13[/tex]

What is the way to best choose the answers

Answers

The B option is the correct answer
I think opinion b is the correct answer if I am wrong please tell me

help meh
A timer rings every half hour for 3 1/2 hours.
Use your model to determine the number of rings.
dont make me feel like that was a waste

Answers

Answer:

7 times

Step-by-step explanation:

So since it rings every half hour, there should be 2 rings every hour, if not you are not on our planet. (60 mins in an hour, 30 mins = 1, so 60 mins =2)

So since it rings for 3 full hours, we get an initial step of 3 * 2 = 6 rings

Then there is another 1/2 ring because 3 and a 1/2 hours. So 6+1=7

hope i helped :) im not sure what you mean by model :(

I need help in fractions​

Answers

Answer:

I’ll help you just show me the question

Step-by-step explanation:

I need answers asap​

Answers

Answer:

22/24

Step-by-step explanation:

Is Y=5x+2 in slope intercept form?

Answers

Answer: yes, the equation [tex]y = 5x +2[/tex] is a slope-intercept form.

Step-by-step explanation:

-The equation of a slope-intercept form:

[tex]y = mx + b[/tex]  (where [tex]m[/tex] represents the slope, and [tex]b[/tex] represents the y-intercept).

Yes the slope is is 5 and the y intercept is 2

you want to start a necklace making business. You spend $0.68 on string for each necklace and $0.25 on beads for each necklace. You sell your necklaces
for $2.00 each. If you sell 30 necklaces, how much profit will you make?

Answers

Answer:

Your profit would be 32.10$

Step-by-step explanation:

You spent 20.40$ on string, then you spent 7.50$ on beads too. That adds up to 27.90$ in total, so once you make your 30 necklaces you sell them for 2.00$ let's say you sell them all in one day your coming come with 32.10$ profit. Because you put 27.90$ into making the necklaces.

what is 4x^2 + 12x - 6 = 0 rewritten in x^2 + b/a = -c/a format?

Answers

Answer:

Step-by-step explanation:

devide both sides by 4 it will be:

x^2 +3x -3/2 = 0

determine whether the function represented by the equation is quadratic

Answers

Answer:

not quadratic because there is not a quadrat in it.

Step-by-step explanation:

The graph of a quadratic funtion is a parabola.

The general form of quadratic function is this:

f(x) = ax² + bx + c

Where a, b, and c are numbers.

Please uderstand that a can not be zero, which means that any quadratic function has at least one term with ² in it.

In this example, there is no quadrat visible, so it is not quadratic. By the way, y = -9x + 19 is a so called linear equation. It's graph is a line.

i need the missing blanks .

Answers

Answer:

K, (-3.5,-5), E, (3.5, 3)

Step-by-step explanation:

2x² - x-6=0 resuelve

Answers

Answer:

x = -3/2          x=2

Step-by-step explanation:

2x² - x-6=0

Factor

(2x     ) (x      ) =0

6 = 2*3

2*-2 +3 = -1

(2x  +3   ) (x  -2    ) =0

2x+3 =0      x-2 =0

2x = -3            x=2

x = -3/2          x=2

In the given figure, arcWY = 76° and arcXZ = 112°. What is the difference of the measures of angle WPY and angle XPY?

A. 8°

B. 9°

C. 16°

D. 18°

Answers

Answer:

C

Step-by-step explanation:

Answer:

A. 8

Step-by-step explanation:

#platolivesmatter

8y=4x-32/2 slope intercept form

Answers

Answer:

y=0.5x-2

Step-by-step explanation:

8y=4x-32/2

First thing you are going to do is solve for 32/2=16 and then enter it into the equation.

8y=4x-16

Second thing you are going to do is divide everything by 8 to get rid of 8y.

8y=4x-16

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

   8

4/8=0.5 and 16/8=2

y=0.5x-2

What is the mean and median of 25,50,58,54,55

Answers

Answer:

median = 58

mean= 48.4

Step-by-step explanation:

to find the mean you add all of the numbers and divide it by 5 in this case

the mean is 48.2
the median is 54

help please! ill mark brainliest

Answers

Answer:

A=150ft^2

Step-by-step explanation:

A=(b1+b2)/2*h

A=(15+10)/2*12

A=25/2*12

A=25*6

A=150ft^2

Area of trapezoid formula: A = h(b1+b2/2)

A = 12(10+15/2)

A = 12(25/2)

A = 12(12.5)

A = 150

Therefore, the area of the trapezoid is 150ft²

Best of Luck!

Sarah is buying plants and soil for her garden! The soil Sarah wants costs $3.50 per bag, and the plants she wants are $8 each. Sarah can buy at most 20 items, as this is all she can fit in her car, and she cannot spend more than $150. Let x represents the number of bags of soil and y represents the number of plants:

Answers

Answer:

x+y ≤20

3.50 x +8 y ≤150

Step-by-step explanation:

Hi, the rest of the question is:

How do you write a system of linear inequalities to model the situation?

So, for the first inequality:

The sum of the number of soil bags (x) and plants(y) bought must be less or equal to 20.

x+y ≤20

For the second inequality:

The product of the number of soil bags (x) and the price of each bag (3.50) ; plus the number of plants bought(y) and the price of each plant (8) must be less or equal to 150.

3.50 x +8 y ≤150

In conclusion, the system is:

x+y ≤20

3.50 x +8 y ≤150

A square unit that is 1 unit wide and 1 unit long is a?

Answers

Answer:

A square with side length 1 unit, called 'a unit square,' is said to have 'one square unit' of area, and can be used to measure area.

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