The sides of a triangle are given as 3x, x - 1 and 3x + 1. If the perimeter [2]
is 56m find its sides.

Answers

Answer 1

Answer:

The sides are 24cm, 7cm, and 25cm

Step-by-step explanation:

3x+x-1+3x+1=56 <---- First we combine like terms (the 1's cancel out)

7x/7=56/7 <--- Divide by 7 to isolate the variable

x=8 <--- Now that we've solved for x we need to plug it back into each side

3(8)=24

(8)-1=7

3(8)+1=25

24+25+7=56 <---- Make sure it all adds up to 56

Hope this helps :)

Answer 2

Answer:

The sides of the triangle are:

[tex]3x = 3(8)=24[/tex][tex]x-1=8-1=7[/tex][tex]3x+1=3(8)+1=25[/tex]

Step-by-step explanation:

We know that the perimeter of a triangle is the sum of the length of its sides.

As the sides are given

3xx-13x+1

so the equation of the perimeter becomes

[tex]P=3x+\left(x-1\right)+\left(3x+1\right)\:[/tex]

as

P = 56m

so

[tex]56=3x+\left(x-1\right)+\left(3x+1\right)[/tex]

[tex]3x+x+3x-1+1=56[/tex]

[tex]7x-1+1=56[/tex]

[tex]7x=56[/tex]

[tex]\frac{7x}{7}=\frac{56}{7}[/tex]

[tex]x=8[/tex]

Now finding the sides

[tex]3x = 3(8)=24[/tex]

[tex]x-1=8-1=7[/tex]

[tex]3x+1=3(8)+1=25[/tex]

Therefore, the sides of the triangle are:

[tex]3x = 3(8)=24[/tex][tex]x-1=8-1=7[/tex][tex]3x+1=3(8)+1=25[/tex]

Related Questions

Use the numbered angles in the diagram to answer the question.



Which angles form vertical angles?

Answers

i’m pretty sure it would be angle 3 and angle 5 and then angle 1 and angle 7

BC=CD what is the property

Answers

Distributive Property AB + AB = 2AB Reflexive Property m>B = m>B Symmetric Property If AB + BC = AC then AC = AB + BC Transitive Property If AB ≅ BC and BC ≅ CD then AB ≅ CD

The product of two consecutive integers is 420. Which quadratic equation can be used to find x, the lesser number? x2 + 1 = 420 x2 + 2 = 420 x2 + x = 420 x2 + 2x = 420

Answers

Answer:Answer:

The answer is x^2 + x =420

Step-by-step explanation:

It is given that

The product of two consecutive integers is 420

Le x be the first number, then

second number is the next consecutive number of x which is (x +1)

The product of these numbers can be written as

x (x + 1) which is equal to 420

x (x + 1)  = 420

x^2 + x = 420

So the quadratic equation is

x^2 + x = 420

Step-by-step explanation:

Answer:

Step-by-step explanation:

Its CCCCCCCCCCCCCCC

Point S is on line segment RT.Given RT = 3x , RS = 3x - 5 and ST = 3x -1 determine the numerical length of RT

Answers

Answer:6

Step-by-step explanation:

Help plss ASAP plsss

Answers

Answer:

15/16

Step-by-step explanation:

got it right

Aisle 2 of furniture store stocks 4-legged chairs, 4-legged tables and 3 legged stools. Which expressionS shows the total number of furniture legs in aisle 2.
THERE ARE MULTIPLE ANSWERS.

A. 4t+4c+3s
B. 4t+4c+4s
C. 4(t+c) + 3s
D. 4(t+c+s)
E. T+c+s
F. T+c+3s

Answers

Answer:

It is A maybe

Step-by-step explanation:

I search on Brainly and everyone is saying this is the answer.

Figure 1
Figure 2
Figure 3
Your answer

Answers

Answer:

I believe you forgot a picture.

Please help!!!!! ASAP!!!! If I get it right I get outta here!!
Just word problems, THANK YOU!!!!!!!!

Answers

Answer:

First one is 120 leaves  The Second one is $3.5   Last one is $136

I don't know the 3rd one

Step-by-step explanation:

Parallel lines have so much in common, It’s a shame they’ll never meet.

Answers

ya so heartwarming. give brainliest pls bae

Answer:

This is actually very true

Step-by-step explanation:

lol

Please help !!!!!!!!!!!

Answers

Answer:11/1 11/2 11/3 11/4 11/5  /6

Step-by-step explanation:

;-; I like cheese.....

Answers

Yooo, me too! Cheese is life

Which measure is cloest to the length of a side of a square that has an area of 221 square feet? 11.0 ft 14.69 ft 16.4 ft 55.2 ft

Answers

Answer:

14.69 ft.

Step-by-step explanation:

Area of a square:

A= [tex]a^2[/tex]

Given:

A=221 [tex]ft^{2}[/tex]

Solve:

221= [tex]a^2[/tex]

[tex]\sqrt{221}[/tex]=[tex]\sqrt{a}^2[/tex]

a is approx. equal to 14.87 ft.

which is 14.69 ft.

A pound of ground beef costs $5. At this rate, what is the cost of 1/4 pounds?

Answers

$1.25 is the cost of 1/4 pound beef

Answer:

yesssss

Step-by-step explanation:

if you give me more poins ill be happy

Diego is 165 cm tall. Andre is 1.7 m tall. Who is taller, Diego or Andre? 1 m = 100 cm.

Answers

Answer:

Diego

Step-by-step explanation:

Diego is because 1m = 100 and Diego is 165 and that is alote bigger from 1.7.

1. A multi-cab starter motor has a current of 60.0 A and a voltage of 12 V. What is
the resistance of the starter motor?
А
Given: Current (1)
Voltage (V)
Required: Resistance (9)
V
Formula:
R= voltage
curent
Solution:
V - IR
Answer:
Resistance -
92, the resistance of the electric motor.​

Answers

Answer: 0.20 Ω

Step-by-step explanation:

From the question, we are informed that a multi-cab starter motor has a current of 60.0 A and a voltage of 12 V. The resistance of the starter motor will be calculated thus:

Current (I) = 60.0A

Voltage (V) = 12V

Resistance = Unknown

Since Voltage = Current × Resistance

Therefore, Resistance = Voltage / Current

= 12/60

= 0.20 Ω

The resistance of the motor is 0.20 Ω

The resistance of the starter motor if a multi-cab starter motor has a current of 60.0 A and a voltage of 12V is 0.2 ohms

Based on the given question, for us to get the resistance of the starter motor, we will need to use Ohm's law.

According to the law, the current I passing through a conductor at constant temperature is directly proportional to the voltage "V". Mathematically;

V = IR

V is the voltage = 12V

I is the current = 60.0A

R is the resistance

Substitute the given parameters into the formula as shown:

12 = 60 R

R = 12/60

R = 1/5

R = 0/2

Hence the resistance of the starter motor if a multi-cab starter motor has a current of 60.0 A and a voltage of 12V is 0.2 ohms

Learn more here: https://brainly.com/question/22174928

Can someone help me with this question? I need the statement reasoning! Thank you so much I will mark brainliest!

Answers

triangle ABD and triangle CDB are similar because:
-it is given that angle A and angle C are equal, both 90
-angle ABD and angle CDB are equal because they are alternate interior angles
- side DB and side DB are the same length
- two triangles are equal because of AAS

Answer:

As per HL Postulate the triangles are congruent

Step-by-step explanation:

Given: m∠A = m∠C = 90° and  AD = CB

Prove: ΔABD ≅ ΔCDB

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

Since angles A and C are right angles, ΔABD and ΔCDB are right triangles

DB is common side, so

DB ≅ BDAD ≅ CB is given∠DAB ≅ ∠ BCD given

As per HL Postulate if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent

You bought a magazine for $3and some candy bars for $2 each. You spent a total of $19.How many candy bars did you buy?

Answers

Answer:

8

Step-by-step explanation:

19 - 3 = 16

16÷2 = 8

You bought 8 candy bars

Answer:

8

Step-by-step explanation:

You First have spent 3$ on a magazine then $2 for each candy bar in total u had 19$ spent so first u mulitply 8x2 which 16 now 16 + 3=19

The distance covered by the fastest high-speed train in Japan traveling at maximum speed is represented on the graph. The fastest high-speed train in the United States traveling at maximum speed covers 600 kilometers in 1/2 hours. Which train has a greater maximum speed? Explain.

Answers

Answer:

it would run up almost 360 kph

Step-by-step explanation:

i look it up

Given the quadrant of theta in standard position and a trigonometric function value of theta , find the exact value for the indicated function. I, cos theta = 0.25; tan theta

Answers

Answer:

[tex]\sqrt{15}[/tex]

Step-by-step explanation:

[tex]\cos(\theta)=\frac{1}{4}[/tex] is given.

My attempt will to be to use the Pythagorean Identity:

[tex]\cos^2(\theta)+\sin^2(\theta)=1[/tex]

[tex](\frac{1}{4})^2+\sin^2(\theta)=1[/tex]

[tex]\frac{1}{16}+\sin^2(\theta)=1[/tex]

Subtract 1/16 on both sides:

[tex]\sin^2(\theta)=\frac{15}{16}[/tex]

We have the following quotient identity:

[tex]\frac{\sin^2(\theta)}{\cos^2(\theta)}=\tan^2(\theta)[/tex]

[tex]\frac{\sin^2(\theta)}{\cos^2(\theta)}=\frac{\frac{15}{16}}{\frac{1}{16}}[/tex]

Multiply the numerator and denominator by 16. This is multiplying the fraction by 1 so this doesn't change the value of the fraction.

[tex]\tan^2(\theta)=\frac{15}{1}[/tex]

[tex]\tan^2(\theta)=15[/tex]

Square root both sides:

[tex]\tan(\theta)=\pm \sqrt{15}[/tex]

Since we are in the first quadrant then all 6 trigonometric functions are positive there so the answer is [tex]\sqrt{15}[/tex].

Click and drag the pink tiles to the correct location on the graph organizer.

Answers

Answer:

-3: Integer

21: Whole #

0.9: Rational

2 1/2: Rational

3.2: Rational

53: Whole #

-11: Integer

8: Whole #

-6: Integer

3/4: Rational

75: Whole #

-36: Integer

Step-by-step explanation:

See above.

If you can please make my answer the brainliest that would be much appreciated. Thanks and Good Luck! :D

Michelle is having a poster printed from a picture that is 4 inches wide by 6 inches tall. The enlarged poster is 20 inches wide and 30 inches tall. Which proportion can be used to represent the picture sizes?
StartFraction 6 over 4 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 30 over 20 EndFraction
StartFraction 4 over 30 EndFraction = StartFraction 6 over 20 EndFraction

Answers

Answer:

The correct answer is:

Option 2: [tex]\frac{4}{6} = \frac{20}{30}[/tex]

Step-by-step explanation:

Given that

Width of picture = 4 inches

Length of picture = 6 inches

Now

Width of poster = 20 inches

Length of poster = 30 inches

The proportion of the picture will be:

[tex]\frac{width}{length} = \frac{4}{6}[/tex]

Similarly the proportion of poster can be written as:

[tex]\frac{width}{length} = \frac{20}{30}[/tex]

Both proportions when combined can be written as:

[tex]\frac{4}{6} = \frac{20}{30}[/tex]

Hence,

The correct answer is:

Option 2: [tex]\frac{4}{6} = \frac{20}{30}[/tex]

Answer:

B

Step-by-step explanation:

This is becuase 30 and 6 are both the inches in height so their units must line up same goes with 4 and 20 becuase they are the same unit they must line up accordingly in the equation.

what divided by 6 = 1.2

Answers

Answer: 2

Step-by-step explanation:

Answer:

y = 7.2

Step-by-step explanation:

y ÷ 6 = 1.2

y ÷ 6 × 6 = 1.2 × 6

y = 7.2

easy 20 points please tell me if I got it right and if not please tell me the right answer

Answers

Answer:

No, you are not correct.

It should look like this:

                              Prefer colorful decorations      Prefer neutral decorations

Pay attention                           20                                                  25

to fashion

Do not pay

attention to                              72                                                      33

fashion

Step-by-step explanation:

33 is 22% of 150. In the question it states that 70% of people do not pay attention to fashion. We need to find the other 48% here. In order to do that we multiply .48 by 150. That gets us 72. To check that answer you can add both 72 and 33 and then divide by 150, which gets 70%.

To get the amount of people that prefer neutral decorations and pay attention to fashion we need to add up 20 + 72 + 33 and that equals 125. Next, we take 150 and minus 125 of it to get 25.

Hope this helps!!

- Kay :)

complete these. Show your thinki
b.
3.25 ft =
in
HELPPPP

Answers

Answer:

35 inches

Step-by-step explanation:

multiply length value by 12

I need help with this so can someone please help me

Answers

9514 1404 393

Answer:

16x-4x +48x +88x

Step-by-step explanation:

Like terms are ones with the same variable (or set of variables). Here, any x-terms are "like" terms. They are combined by adding their coefficients.

  4x +4x +4x +4x = x(4+4+4+4) = 16x

  -7x +4 +3x = x(-7+3) +4 = -4x +4

  3x +5x +8 = x(3+5) +8 = 8x +8

  4x +4x = x(4+4) = 8x

find the value of 8^1/3

Answers

Answer:

[tex]2\frac{2}{3}[/tex]

Step-by-step explanation:

Find 1/3 of 8: [tex]\frac{1}{3}[/tex] × [tex]\frac{8}{1} = 2\frac{2}{3}[/tex]  

I hope this helps!

The answer is [tex]\frac{8}{3}[/tex] or [tex]2\frac{2}{3}[/tex]

How do I graph f(x) = -x^2 +2x -4

Answers

This is how you would graph it :
This is the correct graph.
The graph of the function is the set of all points (x,y) in the plane that satisfies the equation y=f(x) y = f ( x ) . ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output.

If you get 2 imaginary answers when using the quadratic formula, how does this relate to how many times (0, 1 or 2) a quadratic graph touches/crosses the x-axis?

Answers

Answer:Roots of a number indicates value where function will be zero. If an equation let's say

y = f(x) = x^2 -3x + 2 has two roots x = 1 and x =2 . Now if you will draw the graph, line will cross x-axis at 1 and 2 indicating y will become zero at 1 and 2. But if any equation has imaginary roots implies y will be never be zero for any real value of x and as we do not show imaginary number on a Cartesian plane we cannot make y =0 hence graph will never touch x-axis.

Step-by-step explanation:

how come nothing feels real anymore? i've searched and i can't find why. all of my feelings and surroundings seem fake. i've felt like this for over a week straight so far, and this feeling has happened before but it's only lasted like a day or less. i can't get rid of the feeling, and i just wanna escape it. i feel like i'm not in "my" body. like my hands aren't my own, and i dont have complete control over them. when i look in the mirror, it's like it's not actually me looking back. no matter how many people are around me, it feels like they're all fake and aren't actually there. like this isn't the world i'm actually in. it's driving me insane and i just have the constant feeling that i want to cry and escape this. i can't tell my parents this, because they'll just say i'm being dramatic or just don't want to do my work or something like that. just please help me understand what's going on, or if there's anything i need to do. please. (i put this up for 50 points)

Answers

Answer:

I also have felt like this recently. Try talking to someone about it. :)

2+2(-3)^2


Plz answer :) with steps

Answers

Answer:

-16

Step-by-step explanation:

2 + 2(-3)²

Exponents come first, so we would multiply -3 by itself.

2 + 2(-9)

Next is Multiplication, so we multiply 2 and -9 together

2 - 18

We subtract 18 from 2 to get,

-16

I hope that this helps! :)

[tex]2 + 2( - 3) {}^{2} [/tex]

[tex]2 + 2(9)[/tex]

[tex]2 + 18[/tex]

[tex]20[/tex]

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