Triangle ABC has perimeter 22 cm.
AB = 8cm
BC = 5cm
By calculation, deduce whether triangle ABC is a right-angled triangle.

Answers

Answer 1

Answer:

Step-by-step explanation:

A = 8 cm

B = 5 cm

C = 22 - 8 - 5 = 9 cm

Use the Pythagreom Theroem (a^2 + b^2 = c^2) if the two sides are equal to one another than it is a right triangle.

8^2 + 5^2 = 9^2

64 + 25 = 81

89 = 81

89 does not equal 81, so this is not a right triangle.


Related Questions

Write the equation of the line in fully simplified slope-intercept form

Answers

Answer:

try y = 3x + -6 it might be wrong tho

Step-by-step explanation:

slope intercept form is y = mx + b where m = the slope and b = the y intercept. the y intercept is -6 and the slope is 3/1 or 3 so just plug the numbers in

Simplify 6^-3/6^5
answers:
• 6^8
• 6^-2
• 1/6^8
• 1/6^2​

Answers

When you divide same numbers with exponents you would subtract the exponent: a^2/a^1 = a^(2-1) = a

Therefore: 6^-3/6^5 = 6^(-3-5) = 6^-8
Which is also 1/6^8

Solution: C

Divide 35 in the ratio 3:2

Answers

i’m pretty sure it’s 18:12

[tex]3x + 2x = 35 \\ 5x = -35 \\ x = 7 \\ 3x = 3 \times 7 = 21 \\ 2 x \: \: \: \: 2 \times 7 = 14 \\ 21 \: and \: 14 \: answer[/tex]

hopefully it's help

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided 20 ctn 8 Citi 6 Cm 12 CITL 16 cm Drawing not to scale The two triangles above are similar a. Find x using the ratio of the sides 12 cm and 16 cm. 20 T 12 16 Show your work b. Find x using the ratio of the sides 6 cm and 8 cm Show your work C. Explain why the answers to (a) and (b) should be the same​

Answers

No se ha dado el médico de la vuelta a las dos de vuelta de las puertas del teléfono y ha dicho

give the equation of the horizontal asymptote of the function shown below. g(x)=2x/x+5

Answers

Answer:

y=2

Step-by-step explanation:

Because the degrees of the numerator and denominator are equal to each other, then the equation of the horizontal asymptote of the function is y=2 since the end behavior of the function is equal to 2x/x=2.

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y=-2x+5

Step-by-step explanation:

Use slope intercept form (y=mx+b) to plug in the values for m and b

Write the word sentence as an equation. Then solve the equation

the difference between a number p and 6 is -14

Answers

Answer:

-8

Step-by-step explanation:

The difference between a number P and 6 is -14.

then;

[tex]p - 6 = - 14 \\ p = - 14 + 6 \\ p = - 8[/tex]

A=rt + q solve for t

Answers

Answer: t= [tex]\frac{A-q}{r}[/tex]

Step-by-step explanation: subtract q from both sides, to get A-q=rt, then divide r by both sides to get the answer above

Please solve: 7x - 4 = 2

Answers

7x - 4 = 2 ⬇️
add four on both sides
7x = 6 ⬇️
divide both sides by seven to isolate X
x = 6/7
converted to decimal form: 0.85714285714...

A family wants to build a pen for their new puppy. They want the area of the pen to be more than 225 square feet.

If the width of the pen is 25 feet, what is the set of possible lengths for the pen?

Answers

The pen must have it's length from any value greater than 9 for it's area to be greater than 225 squared feet

Inequality

In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.

Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions

Given that the area (A) must be greater than 225 squared feet, the width is 25 feet.

Assuming the pen is rectangular in shape;

A = L * W

L * 25 > 225

25L > 225

solving for L

L > 225/25

L > 9

The possible lengths for the pen are values greater than 9

Learn more on inequality here;

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Help me with this please!!

Answers

Answer:

A=2/6 B=5/6

Step-by-step explanation:

I really hope this helps! (i love math!)

pls help asap! i will mark brainliest!

Answers

Answer:

AB would be 18 or the first choice.

Since BD is the median that means from A to D and from D to C are equal. We set this up as an equation and solve it.

x + 8 = 2x - 17

  + 17       +17

x + 25 = 2x

-x            -x

    25 = x

This gives us our first bit of the answer. Then we plug this into our equation for the length of AB to get 18.

Step-by-step explanation:

hope this helps. . . <3

good luck!      uωu

Simplify. (−5)^5(−5)^−6

Answers

Answer:

Step-by-step explanation:

In exponents multiplication, if bases are same, add the powers

[tex]a^{m}*a^{n} =a^{m+n}\\\\\\(-5)^{5}*(-5)^{-6}=9-5)^{(-5) + (-6)} = (-5)^{-11}[/tex]

Answer:

Your answer would be:
-1/5 or -0.2




Step-by-step explanation:

Have a great rest of your day
#TheWizzer

1) An airplane is at 10,000 feet above the ground. It needs to fly higher to reach the regular flying height. It increases its height at a constant rate of 2,000 feet per minute. How high will the plane be in 10 minutes?​

Answers

Answer:

20000

Step-by-step explanation:

Answer: 30,000 feet

Step-by-step explanation: We start with the 10,000 feet original height. From there, we can take 2,000 feet per minute and multiply it by 10 minutes. That gets us 20,000 feet. Add 20,000 to our original 10,000 and we get 30,000.

3y-8=3y
solve for y
help asap
step by step please

Answers

Answer:

y=4/3

Step-by-step explanation:

3y-8=3y

3y+3y=8

6y=8

y=8/6=4/3

Solve. −6.6x=−4 What is the solution to the equation? Enter your answer as a simplified fraction in the box. x =

Answers

Answer:

20/33

Step-by-step explanation:

i took the test

Answer:

x = 20/33

Step-by-step explanation:

−6.6x = −4

Divide both sides by -6.6

x = -4/(-6.6)

x = 40/66

x = 20/33

Answer: x = 20/33

Mercedes can download new songs for $1.39 each. Write an equation to show how many songs she can download for $15.00. (1 point)
15x = 1.39
15 + x = 1.39
1.39x = 15
1.39 + x = 15

Answers

I think it’s 1.39x = 15.

Algebraic Proof

Match the justification to each step of the deductive reasoning about this picture. Please Help!

Answers

The following are deductive reasoning for each statement in the algebraic proof given:

1. CD + DE = CE (Segment Addition Postulate)

2. 8 + (3x + 7) = 6x (Substitution)

3. 3x + 15 = 6x (Combining like terms)

4. 15 = 3x (Subtraction Property of Equality)

5. x = 5 (Division Property of Equality)

6. CE = 6(5) (Substitution)

Recall:

The Segment Addition Postulate states that when a point lies between two endpoints on a line segment, the length of the larger segment equals the sum of the lengths of the two smaller segments formed.

Thus, the following are deductive reasoning for each statement in the algebraic proof given:

1. CD + DE = CE (Segment Addition Postulate)

2. 8 + (3x + 7) = 6x (Substitution)

Rationale: Plug in the values of CD, DE and CE

3. 3x + 15 = 6x (Combining like terms)

Rationale: Add 8 and 7 together

4. 15 = 3x (Subtraction Property of Equality)

Rationale: Subtract 3x from each side of the equation.

5. x = 5 (Division Property of Equality)

Rationale: Divide each side of the equation by 3).

6. CE = 6(5) (Substitution)

Rationale: Plugging in the value of x into "6x"

Learn more about Segment Addition Postulate on:

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The circumference of a circle is 20pi m. find its diameter,in meters

Answers

Answer:

20 m

Step-by-step explanation:

Circumference formula:

C = πd

Substitute and solve for d:

20π = πdd = 20π/πd = 20

The volume of a box is given by V=3x^3 + 33x^2 + 84x. Determine expressions for a possible set of dimensions for this box.

Answers

Answer:

(-7,0) (-4,0)(0,0)

Step-by-step explanation:

Sue has 18 3/4 cups of sugar Each pie calls for 1 1/2 cup of sugar Sue wants to break 12 pies Does she have enough sugar How much will be left over or how much more does she need

Answers

Answer:

she will have 3/4 cups left over

Step-by-step explanation:

1 1/2 times 12 is 18

Find the area of the surface generated by revolving x = t y = t^2 1 ≤ t ≤ 2 around the y-axis

Answers

Answer:

4^22x

Step-by-step explanation:

answer is 4^22x (sorry it’s late)

A student subtracted 9 from a number and then divided the result by 3. Her answer was 43.
What was the original number?

Answers

Answer:

138

Step-by-step explanation:

A box of cereal states that there are 96 calories in a
3
4​-cup serving. What is the unit rate for calories per​ cup? How many calories are there in 3 cups of the​ cereal?

Answers

Answer: 96

Step-by-step explanation:

96/3 = 32 per cup  32 x 3 = 96

How do I check my answer?!?? 6.78J-5.2=4.33J+2.15. J=3

Please answer !

Answers

you tried plugging in 3 for J on both sides of the equation

Please help! 20 Points! Will give brainliest if correct!

Answers

Answer:

first one

Step-by-step explanation:

lemme know if im right

Answer:

first one I think is right

How to factor a tri, quad, or polynomial.

Answers

Explanation:

Factoring to linear factors generally involves finding the roots of the polynomial.

The two rules that are taught in Algebra courses for finding real roots of polynomials are ...

Descartes' rule of signs: the number of positive real roots is equal to the number of coefficient sign changes when the polynomial is written in standard form.Rational root theorem: possible rational roots will have a numerator magnitude that is a divisor of the constant, and a denominator magnitude that is a divisor of the leading coefficient when the coefficients of the polynomial are rational. (Trial and error will narrow the selection.)

In general, it is a difficult problem to find irrational real factors, and even more difficult to find complex factors. The methods for finding complex factors are not generally taught in beginning Algebra courses, but may be taught in some numerical analysis courses.

Formulas exist for finding the roots of quadratic, cubic, and quartic polynomials. Above 2nd degree, they tend to be difficult to use, and may produce results that are less than easy to use. (The real roots of a cubic may be expressed in terms of cube roots of a complex number, for example.)

__

Personally, I find a graphing calculator to be exceptionally useful for finding real roots. A suitable calculator can find irrational roots to calculator precision, and can use that capability to find a pair of complex roots if there is only one such pair.

There are web apps that will find all roots of virtually any polynomial of interest.

_____

Additional comment

Some algebra courses teach iterative methods for finding real zeros. These can include secant methods, bisection, and Newton's method iteration. There are anomalous cases that make use of these methods somewhat difficult, but they generally can work well if an approximate root value can be found.

Geometry!
Use the diagram of triangle MNO where, X, Y, and Z are the midpoints of the sides.

Answers

Answer:

YZ = 7 , MO = 8

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.

(11)

YZ = [tex]\frac{1}{2}[/tex] MN , that is

3x + 1 = [tex]\frac{1}{2}[/tex] (10x - 6) = 5x - 3 ( subtract 5x from both sides )

- 2x + 1 = - 3 ( subtract 1 from both sides )

- 2x = - 4 ( divide both sides by - 2 )

x = 2

Then

YZ = 3x + 1 = 3(2) + 1 = 6 + 1 = 7

(12)

XY = [tex]\frac{1}{2}[/tex] MO , that is

x - 1 = [tex]\frac{1}{2}[/tex] (3x - 7) ← multiply through by 2 to clear the fraction

2x - 2 = 3x - 7 ( subtract 3x from both sides )

- x - 2 = - 7 ( add 2 to both sides )

- x = - 5 ( multiply both sides by - 1 )

x = 5

Then

MO = 3x - 7 = 3(5) - 7 = 15 - 7 = 8

What is the answer to n?

Answers

Answer:

n = 108

Step-by-step explanation:

The three medians of a triangle intersect at the same point inside the triangle.

The segment from a vertex to the point in the center is 2 times as long as the

other part of the median line.  So OC is 2 times KC.

KC =108    

OC = 2(108)

2n + 10 = 216

2n = 206

n = 108

In ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .

What is median of a triangle?

" Median of a triangle is defined as the line segment passing the vertex of a triangle and intersect at mid point of its opposite side.Intersecting point of three medians is known as Centroid."

Property used

Centroid divides the median in the ratio of [tex]2:1[/tex] from vertex side.

According to the question,

Given,

In ΔABC,

BL, AM, CK are the medians of a triangle ABC.

'O' represents the Centroid

[tex]KC = 108\\\\OC = 2n +10[/tex]

Ratio of [tex]KC : OC = 3: 2[/tex]

Substitute the value of KC and OC we get,

[tex]108 : (2n + 10) = 3:2\\\\\implies 3 (2n+ 10) = 2(108)\\\\\implies 6n + 30 = 216\\\\\implies 6n = 186\\\\\implies n = 31[/tex]

Hence, in ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .

Learn more about median of a triangle here

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help please !!!!!!!!!!!!!

Answers

Answer:  + or - 8

Step-by-step explanation:

A.  x^2 could be represented by the area of a square.  Length and width are the same, so the area would be x^2.  The answer is clearly wrong, since a square with sides of 32 would create a much larger area than 64.

B.  x^2 = 64

  What number times itself equals 64? =  8

This could be either positive or negative, since (-8)^2 is also equal to 64.

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