triangle ABC has a perimiter of 22cm
ab=8cm
bc=5cm
by claculation deduce whether triangle abc is a right angle triangle

Answers

Answer 1

Answer:

ABC is not a right angled triangle.

Step-by-step explanation:

Step 1: Given the perimeter of ΔABC = 22 cm, sides AB = 8 cm and BC = 5 cm. Find the side AC.

Perimeter = AB + BC + AC

⇒ AC = 22 - (8 + 5) = 22 - 13 = 9 cm

Step 2: Find whether the triangle is right angled using Pythagoras Theorem which is Hypotenuse² = Side² + Base²

AC² = AB² + BC²

⇒ AC² = 9² = 81

⇒ AB² + BC² = 8² + 5² = 64 + 25 = 89

∴ AC² ≠ AB² + BC²

⇒ ΔABC is not a right angled triangle.


Related Questions

please answer!!! will give a lot of points and brainliest if i can figure that out

Answers

Answer:

[tex]2\sqrt{14}[/tex]

Step-by-step explanation:

To find, do 9^2-5^2=[tex]\sqrt{x\\}[/tex], so 81-25=56 which is 2[tex]\sqrt{14}[/tex]

Answer:

[tex]2\sqrt{14}[/tex]

Step-by-step explanation:

The missing side must be [tex]2\sqrt{14}[/tex] for the Pythagorean Theorem to be true.

Hope it helps, have a fantastic day.

with steps pls
7662247+20728678+33807580=​

Answers

Answer:

7662247+20728678=28290925+33807580=620985505

The box plot below represents some data set. What is the value of the median?

Answers

Answer:

80

Step-by-step explanation:

Look at the box plot and look at each line.

The first line that is all the way to the left, that is the Quartile 1.

The last line all the way to the right, that is Quartile 3.

Now lets look at the box part.

The beggining of the box is the minimum.

The ending of the box is the maximum.

The middle line is the median.

How I remember it is Median=Middle

Hopw this hels :D

Mateo is roasting a chicken. He must make sure the chicken has a minimum internal temperature of 165 degrees so that it is
safe to eat. Using a thermometer, he takes the temperature of the chicken in three random places. The minimum temperature in
the sample is 172 degrees.
Identify the population and the sample. (4 points)
• Population: 165 degrees; Sample: 172 degrees
• Population: 172 degrees; Sample: 165 degrees
• Population: all the chicken meat; Sample: 172 degrees
• Population: three random places in the chicken; Sample: all the chicken meat
• Population: all the chicken meat; Sample: three random places in the chicken

Answers

Using sampling concepts, it is found that the population and the sample are given by:

Population: all the chicken meat; Sample: three random places in the chicken.

What is sampling?

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population.

In this problem, a group of 3 chicken meat is taken from all the chicken meat, which is the population, hence the correct option is given by:

Population: all the chicken meat; Sample: three random places in the chicken.

More can be learned about sampling concepts at https://brainly.com/question/25122507

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At what time a person can travel 800 meters at 36 km per hour

Answers

Answer:

.02 hours

or

1.2 minutes

Step-by-step explanation:

800 meters is .8 kilometers (because there are 1000 meters in a kilometer).

Now just do dimensional analysis.

.8 km 1 hour

-------- x -------- = .02 hours

. 1 36 km

To find minutes, multiply .02 by 60.

(.02)(60)=1.2 minutes

Convert to decimal degrees 43 degrees 25 minutes 36 seconds

Answers

Answer:

43.43

Step-by-step explanation:

Convert 25 minutes to decimal degrees by 25/60 = 0.416...=0.42

Convert 36 seconds to decimal degrees by 36/3600 (There are 3600 seconds in a degree) = 0.01

Now you have:

43 degrees, 0.42 degrees. and 0.01 degrees.

Add them all to get 43.43

please help me asap help help please please help me please please

Answers

Answer:

d.45 sq.ft

Step-by-step explanation:

Surface are i.e. Total surface area of square pyramid = a^2 + 2al

where a^2 is area of base

a is side of base

l is slant height

by the figure

a=3ft

a^2 = a×a

=3×3

=9ft

l=6ft

Surface area = a^2+2al

=9+2×3×6

=9+36

=45 sq.ft

42 points! Plus a crown if you are right!! PLEASEE HELPP D:

Answers

Answer:

x = 9

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

Here the exterior angles has a measure of 10x + 58° while its opposite interior angles have measures of 6x + 56° and 38°

If an exterior angle of a triangle is equal to the sum of the opposite interior angles then 10x + 58 = 6x + 56 + 38  

we now solve for x

10x + 58 = 6x + 56 + 38  

==> combine like terms

10x + 58 = 6x + 94

==> subtract 58 from both sides

10x = 6x + 36

==> subtract 6x from both sides

4x = 36

==> divide both sides by 4

x = 9

and we are done! :)

Answer:

x = 9

Step-by-step explanation:

The sum of all the interior angles of a triangle = 180 degrees

one of the angles of the triangle's interior is blank, so to find it we can subtract the exterior angle measure next to it from 180 degrees (a straight line)

38 + (6x + 56) + (180 - (10x + 58)) = 180

Now, we can do our best to simplify and combine like terms:

[38 + 56 + (180 - 58)] + [6x - 10x] = 180

216 - 4x = 180

Now we can subtract 180 from both sides...

36 - 4x = 0

And then add 4x to both sides...

36 = 4x

Now we've manged to isolate x, all that's left is to divide both sides by 4

9 = x

Or

x = 9

Hope this explanation helped! Feel free to ask questions if anything didn't fully make sense!

A truck moving down a road creates whirling pockets of air called a vortex train. Use the figure to classify the symmetry of a vortex train.
The vortex train has (select)
(select)
translation symmetry
translation symmetry and glide reflection symmetry
glide reflection symmetry

Answers

The train probably has glide reflection symmetry.

Type the correct answer in each box. if necessary, use / for the fractions bar(s).

Answers

The answer is 1/3 and the second box is -1/3

In the parallelogram above, if angle R is 56 degrees, what is the value of x + y?

Answers

Answer:

248

Step-by-step explanation:

Consecutive angles of a parallelogram are supplementary.

56 + y = 180

y = 180-56

y =124

The opposite angles of a parallelogram are equal.

x = y = 124

x+y = 124+124

      =248

Answer:

x + y = 248

Step-by-step explanation:

consecutive angles in a parallelogram sum to 180°

opposite angles are congruent

x + 56° = 180° ( subtract 56° from both sides )

x = 124°

then

y = x = 124 , so

x + y = 124 + 124 = 248

Проект призи нація ( взаємодія між організмами в природі )

Answers

Answer:

Біологічні відносини є результатом взаємодії організмів один з одним. У природі немає організмів, які ізольовані від оточуючого середовища.

Missing: Проект ‎призи ‎нація (

Need helping solving.

Answers

Hi!

Let's start with some facts to help us solve:All triangles have interior angles that add up to 180 degrees.Supplementary angles also add up to 180 degrees - they are angles on a straight line.

PROBLEM NUMBER ONE:

We can solve for angle HKG by using supplementary angles. The angle next to it and itself will add up to 180 degrees, as they are on a straight line.

[tex]120 + ?=180[/tex]

[tex]?=60[/tex]

Angle HKG is 60 degrees.

---

Now, we also know that in triangles, the angles are 180 degrees. We can add up all the angles and find x:

[tex]60+(6x-10)+(2x+10)=180[/tex]

Remove parenthesis:

[tex]60+6x-10+2x+10=180[/tex]

Add like terms:

[tex]8x+60=180[/tex]

Subtract 60 from both sides:

[tex]8x=120[/tex]

Divide both sides by 8:

[tex]x=15[/tex]

PROBLEM NUMBER TWO

We have more supplementary angles. We can find angle JHG:

[tex]?+72=180[/tex]

[tex]?=108[/tex]

---

Now add up the interior angles of the triangle:

[tex]4x-2+3x+4+108=180[/tex]

Add like terms:

[tex]7x+110=180[/tex]

Subtract 110 from both sides:

[tex]7x=70[/tex]

Divide both sides by 7:

[tex]x=10[/tex]

PROBLEM NUMBER TWO

We have more supplementary angles. We can find angle BDC:

[tex]?+111=180[/tex]

[tex]?=69[/tex]

---

Now add up the interior angles of the triangle:

[tex]69+7x+5+8x-14=180[/tex]

Add like terms:

[tex]60+15x=180[/tex]

Subtract 60 from both sides:

[tex]15x=120[/tex]

Divide both sides by 15:

[tex]x=8[/tex]

Which is the explicit rule for the geometric sequence? 10,-30,90,-270,…

an=-1/3n+10
an=10(-3)n-1
an=-10(1/3)n-1
an=-3n

Answers

Answer:

the ans is c

Step-by-step explanation:ive done it b4

Please answer this! 30 points

Answers

Answer:

i think light blue

Step-by-step explanation:

that or dark blue but you have to graph the answer to find where it lands.

Four inches of snow fell in 3 hours. At that rate, how long would it take for 1 foot of snow to fall?

Answers

Answer:

9 hours

Step-by-step explanation:

4 times 3 is 12. Simple multiplication. 3 times 3 is 9. WOW

Answer:

9 hours

The average rate of snowfall here is 4 inches per/hour, so that means we have to multiply the amount of hours by itself to get the answer.

3 × 3 = 9(with 12 inches of snow fell total, equaling 1 foot)

Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

For the function: y = x² + 4

y intercept: (0, 4)x intercept: Nonevertex: (0, 4)

For the function: x² - 4

y intercept: (0, -4)x intercept: (-2, 0) and (2, 0)vertex: (0, -4)

For the function: 1 - x²

y intercept: 1x intercept: (1, 0) and (-1, 0)vertex: (0, 1)

Conclusion:

green line = x² + 4;  blue line = x² - 4; black line = 1 -x²

Answer:

See below ~

Step-by-step explanation:

Equation of Graph A :

No x-interceptsY-intercept at (0, 4)y = x² + 4

Equation of Graph B :

x-intercepts at (-2, 0) and (2, 0)y = (x - 2)(x + 2)y = x² - 4

Equation of Graph C :

opens downwards ⇒ coefficient of x² is -vex-intercepts at (-1, 0) and (1, 0)y = - (x + 1)(x - 1)y = -x² + 1y = 1 - x²

Rina Botwright receives $624 gross salary biweekly. Her income tax rate is 14%. Her group health plan contribution is $4.25 per pay period. She belongs to the company retirement plan, to which she contributes 6% of her earnings. She is also covered under Social Security benefits. Her current contribution is 6.05%


If these items are all her deductions, what is her take-home pay per period?


Rina gets a $35 raise per pay period. If her health plan is unchanged, how much of the raise will she have to take home?


take-home pay per period = $


amount of raise taken home = $

Answers

Rina Take home pay is $457.20

what is Salary percentage?

The basic salary divided by the Gross salary is multiplied by 100. The result is the percentage of gross salary.

Given that:

gross salary = $624

14% income tax = 624* 0.14 = $87.36

group health plan = $4.25

Company retirement = 624 * 0.060 =$37.44

Social Security = 624 * 0.0605 = $37.752

Home pay= 624 - 87.36 - 4.25 - 37.44- 37.752

= 457.198

Her take home pay is $457.198

if she gets a $35 raise per pay period,

So, new gross salary would be,

= $624 + $35

= $659.

Again, we have

14% Income tax = 659 * 0.14 = $92.26

Group health plan = $4.25

Company retirement = 659 * 0.060 = $39.54

Social Security = 695* 0.0605  = $39.8695

Home take pay,

=659-39.8695 - 45.825 - 39.54-92.26

=441.5055

Her take home pay is $441.5055

learn more about calculation of salary percentage here:

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according to "Black Hole Beginnings," the destruction of some stars results in inbursts of light. an intense gravitational pull.a booming nuclear reaction. clouds of gasses.

Answers

According to "Black Hole Beginnings," the destruction of some stars results in an an intense gravitational pull.

To answer the question, we need to know what Black Holes are.

What are Black Holes?

Blackholes are regions of space in which no matter can escape

Characteristics of black holesBlack holes are formed from the remnants of  large star that dies in a supernovaAs long as the star is three times or more larger than the sun, it will collapseThe gravitational force on the star causes it to collapse into a black hole

So, when black holes are formed, some stars are destroyed and collapse due to intense gravitational forces.

So, according to "Black Hole Beginnings," the destruction of some stars results in an an intense gravitational pull.

Learn more about black holes here:

https://brainly.com/question/6037502

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Highest common factor of 18 and 48

Answers

Answer:

the HCF of 18 and 48 is 6

Step-by-step explanation:

why?because to calculate then HCF of 18 and 48, we need to factor each number

factor of 18 is 1,2,3,6,9,18 andfactor of 48 is 1,2,3,4,6,8,12,16,24,48, end choose the highest factor that exactly dividers both 18 and 48 is 6 this is my answer

what is the value of x?

Answers

Answer:

x = 30

Step-by-step explanation:

The sides of the [tex]\triangle[/tex] formed by chord and two radii are equal.

[tex]\implies [/tex] measure of each angle of the[tex]\triangle[/tex] is 60°.

[tex]tangent \perp radius [/tex] (By tangent theorem)

[tex]\implies m\angle[/tex] at point of contact of tangent and radius is 90°

-> x° + 90° + 60° = 180° (By interior angle sum theorem of a triangle)

-> x° + 150° = 180°

-> x° = 180° - 150°

-> x° = 30°

x = 30

What is the difference between 120 &-50 on a number line

Answers

Answer:

170 is the difference between 120 & -50 on a number line

Step-by-step explanation:

so - 50 to 0 is 50

than 0 to 120

so, |-50| + 120 = 170

one of the factors of 4x^2-9 is
(1)x+3
(2)2x+3
(3)4x-3
(4)x-3

Answers

Answer:

[tex]2x+3[/tex]

Step-by-step explanation:

[tex]4x^2-9=(2x)^2 -3^2=(2x-3)(2x+3)[/tex]

2x+3 I believe the answer is

Find the area of a circle with diameter 31.6 cm, both in terms of π and to the nearest tenth. Use 3.14 for π.

Answers

Answer:

784.3

Step-by-step explanation:
3.14(15.8)^2 = 784.3

hope this helped :>

Andrea recorded the points she scored in her last eight basketball games:
28, 32, 47, 16, 40, 35, 38, 54.
Give an example of a statistical question you could answer using the mean or the median. Explain your reasoning.

Answers

Put the numbers in order from lowest to highest is what I like to do then add up all your numbers which would be 290 then since there is a basketball game score numbers divide 290 by 8
And that would equal 36.25

Which is more likely to happen?
1. When reaching into a dark closet and pulling out one shoe from a pile of 20 pairs
shoes, you pull out a left shoe.
2. When listening to a playlist which has 5 songs on it-in shuffle mode, the first song on
the playlist plays first.
2.2
How Likely Is It?
1. Label each event with one of these options:
impossible, unlikely, equally likely as not likely, certain
a. You will win grand prize in a raffle if you purchased 2 out of the 100 tickets.

Answers

number one is more likely to happen.
how likely is it? equally likely as not likely

Your neighborhood gym tracked how many days
number of days per week a member worked out.
each of its members worked out over the past week. Let G = the
Number of Days

Probability

Interpret the standard deviation of G.
O The mean number of days a member worked out would typically be
about 1.6764 from the expected number of
days
The mean number of days a member worked out
days.
typically be about 2.2913 from the expected number of
The number of days a member worked out would typically be about 1.6764 from the expected number of days.
The number of days a member worked out would typically be about 1.6764 from the mean about 68% of the
tme.

Answers

The correct interpretation of the standard deviation of the given discrete distribution is:

The mean number of days a member worked out would typically be about 1.6764 from the expected number of days.

What are the mean and the standard deviation of a discrete distribution?

The mean of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.The standard deviation is the square root of the sum of the difference squared between each outcome and the mean, multiplied by it's respective probabilities.

Hence:

E(X) = 0.4(0) + 0.12(1) + 0.13(2) + 0.15(3) + 0.06(4) + 0.02(5) + 0.02(6) + 0.01(7) = 1.36

[tex]\sqrt{V(X)} = \sqrt{0.4(0-1.36)^2 + 0.12(1-1.36)^2 + 0.13(2-1.36)^2 + \cdots + 0.01(7-1.36)^2} = 1.674[/tex]

Hence the correct option is:

The mean number of days a member worked out would typically be about 1.6764 from the expected number of days.

More can be learned about discrete distributions at https://brainly.com/question/24855677

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Answer:

c

Step-by-step explanation:

I need to know 9 and this app is the only place that helps

Answers

Answer: B

Explanation: you have to know that one whole circle is 360 degrees. Then use the numbers given to make an inequality.

Make x the subject of these equations.

a(x + b) = c
X =

Answers

Answer:

x = [tex]\frac{c-ab}{a}[/tex]

Step-by-step explanation:

a(x + b) = c ← distribute parenthesis on left side

ax + ab = c ( subtract ab from both sides )

ax = c - ab ( divide both sides by a )

x = [tex]\frac{c-ab}{a}[/tex]

Answer:

Just expand and solve for x :)

What is the total surface area of a square pyramid with a base length of 10 meters and a slant height of 13 meters?

Answers

130 please give Brian

Answer:

379 (Rounded to nearest whole)

A = a² + 2a [tex]\sqrt{\frac{a^2}{4} + h^2}[/tex]

    = 10² + 2 × 10 × [tex]\sqrt{\frac{10^2}{4} + 13^2 }[/tex] ≈ 378.57

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