Find the perimeter of the triangle

Answer:

6; 8; 10

Step-by-step explanation:

First side: x

Second side: x+2

Third side: x+4

x + x + 2 + x + 4 = 24

3x + 6 = 24

3x = 18

x=6

First side: 6

Second side: 8

Third side: 10

Step 1: Simplify both sides of the equation.

5x−15−(2x+5)=3x−20

5x−15+−1(2x+5)=3x−20(Distribute the Negative Sign)

5x+−15+−1(2x)+(−1)(5)=3x−20

5x+−15+−2x+−5=3x−20

5x+−15+−2x+−5=3x+−20

(5x+−2x)+(−15+−5)=3x−20(Combine Like Terms)

3x+−20=3x−20

3x−20=3x−20

Step 2: Subtract 3x from both sides.

3x−20−3x=3x−20−3x

−20=−20

Step 3: Add 20 to both sides.

−20+20=−20+20

0=0

Answer:

All real numbers are solutions.

2x+5−(5x−15)=−3x+20

Answer:

All real numbers are solutions.

Answer:

B. Yes, by the AA Similarity Postulate

Step-by-step explanation:

This triangles are both similar based on the AA Similarity Postulate. We know that all angles are equal because...

m∠ABE = m∠CBD = 42° (because they are veridical/opposite angels)

m∠AEB = 180° - m∠ABE - m∠EAB = 180° - 42° - 53° = 85°

Then from here we know that

m∠BDC = 180° - 85° - m∠CBD

m∠BDC = 95° - 42°

m∠BDC = 53°

From here we see that they are similar because of the AA Similarity Postulate, since

m∠ABE = m∠CBD = 42°

m∠BDC = m∠EAB = 53°

m∠AEB = m∠BCD = 85°

Pi is the ratio of the circumference of a circle to its diameter, D

Answer:

D.

Step-by-step explanation:

is the ratio of the circumference of any circle to the diameter of that circle

Answer:

12

Step-by-step explanation:

The required equation of the line that is parallel to the given line is 4y - 10x = 12. Option B is correct.

Given that,
Which equation represents a line parallel to the line whose equation is 2y - 5x = 10 is to be determined.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The property of the parallel line state that the slope of the parallel line are always equal.
So the slope of line given in B 4y - 10x = 12 is m = 5 and slope of the given line is m = 5 which are equal.

Thus, the required equation of the line that is parallel to the given line is 4y - 10x = 12. Option B is correct.

Learn more about slopes here:

https://brainly.com/question/3605446

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Step-by-step explanation:

Its option D

As, for red $12 is charged

So 35 x $12 = 420

And white is $10

So, 20 x 10 = $200

= $420 + $200 = $620

Hope this helps

Answer:

2x + 3 (8 - 3x) = 3

x = 3

y = -1

Step-by-step explanation:

pretty sure thats right! have a great day!

Answer:

there are

16, 8, 12 and 4 different animals

Step-by-step explanation:

Step-by-step explanation:  

Step one:  

given data

Number of Animals = 40

The given ratio is = 4:2:3:1  

The total ratio is = 4+2+3+1= 810

Step two;

Applying the part to all method

The first animal  

4/10=x/40

cross multiply  

10x= 40*4  

divide both sides by 10

x= 160/10

x= 16

for second we have  

2/10=x/40

cross multiply  

10x= 40*2  

divide both sides by 10

x= 80/10

x= 8

for the third  we have

3/10=x/40  

cross multiply  

10x= 40*3  

divide both sides by 10

x= 120/10

x= 12

for the fourth  we have

1/10=x/40  

cross multiply  

10x= 40*1  

divide both sides by 10

x= 40/10

x= 4

Answer:

$9

Step-by-step explanation:

In this circumstance, 20% off is the original number (40) divided by 5, and that's the answer. I hope this helps!

Answer: They saved $8

Step-by-step explanation:

0.20 × $40 = $8.00

Picture relating to the question is attached

Answer:

Andy = 1/2

Bill = 1/8

Carl = 1/8

Evan = 1/8

Dirk = 1/8

Step-by-step explanation:

According to the picture depicting the sharing of the land :

Fraction of the total rectangular plot = 1

Andy got a portion of the whole divided into 2 = 1/2

Fraction left after Andy's portion:

1 - 1/2 = 1/2

1/2 of the fraction left was divided equally between Dirk and Evan

Hence ;

1/2 of 1/2 = 1/2 * 1/2 = 1/4

Dirk's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Evan's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Fraction of land left :

1 - (1/2 + 1/8 + 1/8) = 1 - 3/4 = 1/4

1/4 was divided equally into 2 for Bill and Carl:

Bill's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Carl's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Answer:

X=24 Z=110

Step-by-step explanation: correct me if im wrong because im not 100% sure.

Answer:

z=110° and x=24°

Step-by-step explanation:

z°=(5x-10)°[Being the pair of vertically opposite angle]

z+70°=180[Being the pair of straight angle]

or, z=180-70

z= 110

Again ,

z=(5x-10)°

or, 110=5x-10

or, 110+10=5x

or, 120=5x

or, 120/5=x

x=24°

Answer:

142

Step-by-step explanation:

opposite angle theorem

Answer:

D. 142

Step-by-step explanation:

They are vertical angles which are always equal

Answer:

9.42857142857

Step-by-step explanation: Is a long decimal so you could just round it to 9.43

Answer:

0.25

Step-by-step explanation:

1.2 divide by 4.8=0.25

0.25*4.8=1.2

5 = .25

4.8 x .25 = 1.2

Answer:

Area = 18 Sq.units

Step-by-step explanation:

From the given dimensions we have, we can say that the total length of the base = 6 + 4 = 10 units

Now,since we know that all sides of the red square are 6 units, we can use pythagoras theorem to get the length of the long diagonal that serves as the base of the blue colored area.

Let the diagonal be c. Thus;

c = √(10² + 6²)

c = √(100 + 36)

c = √136

Let length of the horizontal part of the blue area be "b". Thus, b = 6 units

Let the other part of the triangle be a. We can find a from pythagoras theorem.

a = √(4² + 6²)

a = √(16 + 36)

a = √52

Using hero's formula, we can find the area of the triangle;

Area = √(s(s − a)(s − b)(s − c))

Where s = (a + b + c)/2

s = (√52 + 6 + √136)/2

s = 12.4365

Area = √(12.4366(12.4365 −√52)(12.4365 − 6)(12.4365 − √136))

Area = 18 Sq.units

Answer:

-1/3

Step-by-step explanation: it goes downwards from left to right so it is a negative and to reach the next line below it, it went to the right 3 units.

Therefore it is -1/3 :)

Answer:

that is true

Step-by-step explanation:

i think it's help

Step-by-step explanation:

The advertising are telling the truth value of this questions

Answer:

= 3 /2 ±  √ 3

Step-by-step explanation:

Answer:

Elena could tell without finishing by simplifying both sides. The next step would have been 30x +24x = 30x+24. This would have been simplified down to x=1

Step-by-step explanation:

She got to the last line 36x + 18 = 36x + 18 when she stopped and said the equation has infinitely many solutions.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given as,

12x +6(4x + 3) = 6(6x + 4) - 6

Simplify the equation, then we have

12x +6(4x + 3) = 6(6x + 4) - 6

12x + 24x + 18 = 36x + 24 - 6

36x + 18 = 36x + 18

She got to the last line 36x + 18 = 36x + 18 when she stopped and said the equation has infinitely many solutions.

More about the solution of the equation link is given below.

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Answer:

4 and 1/2 miles (or 9/2 miles)

Step-by-step explanation:

I would set this up as a proportion

3/4          x

10          60

Cross multiply

60 x 3/4 = 45

Divide

45/10 = 4.5

4.5 = 4 and 1/2 miles

sorry that's all I know

Answer:

see explanation

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

[tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{75}{25}[/tex] = 3

[tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{225}{75}[/tex] = 3

[tex]\frac{a_{4} }{a_{3} }[/tex] = [tex]\frac{675}{225}[/tex] = 3

This indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex]  = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 25 and r = 3 , then

a₆ = 25 × [tex]3^{5}[/tex] = 25 × 243 = 6075

Answer:

Scale Model of the Great Pyramid

You can build a model of the Great Pyramid, but first you need to scale it down. To do this, you will need to

make the pyramid 3,000 times smaller than it really is! To achieve that, every 30 meters of the pyramid is

represented as 1 centimeter.

Step-by-step explanation:

Answer:

$400

Step-by-step explanation:

140 ÷ 35% = 400

Answer:

Step-by-step explanation:

conversion factors:

m:cm= 1:100

dm:km= 1,000,000:1

m:mm= 1:1000

hg:dg= 1:1000

g:cg= 1:100

kg:g=1000

so we plug in:

5m=500 cm

5246dm=0.5246km

5.246m=5246mm

3.7hg=3700dg

0.37g=37cg

370kg:370000

so the word is SPEAKUP