Anyone knows how to do "Using Congruence Postulates," I need help with an equation, can someone show me step by step.

Perimeter = Sum of the sides measures

Perimeter = | AB | + | AT | + | BT |

Perimeter = ( x + 3 ) + ( 4x ) + ( 2x + 2 )

40 = x + 4x + 2x + 3 + 2

Colect like terms

40 = ( 1 + 4 + 2 )x + ( 3 + 2 )

40 = 7x + 5

Subtract both sides - 5

40 - 5 = 7x + 5 - 5

35 = 7x

Switch sides

7x = 35

Divide both sides by 7

7x ÷ 7 = 35 ÷ 7

x = 5

_____________________________

AB = x + 3 = 5 + 3 ======》 AB = 8

AT = 4x = 4 × 5 =========》 AT = 20

BT = 2x + 2 = 2(5) + 2 ===》 BT = 12

According to the law of inequality in a triangle, the sum of any two random sides must be greater than the size of the other side which means :

AB + AT > BT

&

AB + BT > AT

&

AT + BT > AB

If the sides is true in the above inequalities, then those sides are able to form a triangle ;

But if even one of the above inequalities is violated, those sides will not be able to form a triangle.

8 + 20 > 12 ( Check )

8 + 12 > 20 ( Nope this inequlity violated )

Thus the measures of the sides can not represent the measures of the sides of a triangle .

And we're done ...

[tex]\sqrt{42} =6.480740698/\sqrt{42}[/tex]

Answer:

6.4807 Step-by-step explanation:

The square root of 42 is 6.4807.

Answer:

[tex]\frac{7}{4.1}[/tex]

Step-by-step explanation:

the word ''to'' means over

Step-by-step explanation:

1 mn diameter self assembled

nature inspired structure

QUESTION:- find the value of x

[tex]180 - 6x + 180 - 5x + 180 - 4x = 180 \\ 360 + 180 - 15x = 180[/tex]

[tex]360 - 15x = 180 - 180 \\ 360 = 15x \\ 24 \degree = x[/tex]

Answer:

x = 24

Step-by-step explanation:

The exterior angles of the triangle sum to 360° , that is

5x + 4x + 6x = 360

15x = 360 ( divide both sides by 15 )

x = 24

Answer:

67

Step-by-step explanation:

Answer.

67°

Step-by-step explanation:

the two lines are parallel so,

angle on line XY 67° is alternate angle on BD so, angle will be opposite angle y.

therefore, angle y= 67°

i got help from an awesome app called Gauthmath you can check it out on play store and app store. in my opinion avery good app with tutors and concept videos.

Answer:

10%

Step-by-step explanation:

if the total hours of sports being played is 50 hours, and the time playing soccer is 5 hours, you just divide 5 by 50 (technically will be .1, but to make it a percent you multiply by 100)

Answer:

365

Step-by-step explanation:

tn = t1 + (n - 1)(d)

t(47) = -3 + (47 - 1)(8)

t(47) = -3 + (46)(8)

t(47) = -3 + 368

t(47) = 365

Answer: F. is a linear relation.

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

Equation of the eventual line:

(y-4)/(5-4) = x

y-4 = x

y = x + 4

this equation can’t be used to determine the last three values. In fact, for examples:

7 = 2 + 4

7 = 6 (false)

So the relation is non linear

Answer:

C) [tex]sin\theta+cos\theta[/tex]

Step-by-step explanation:

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

[tex]sin\theta+cos\theta[/tex]

Recall the Pythagorean Trigonometric Identity where [tex]sin^2\theta+cos^2\theta=1[/tex], so [tex]1(sin\theta+cos\theta)=sin\theta+cos\theta[/tex]

Answer:

C

Step-by-step explanation:

To start this problem off, we should know an important trig rule:

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

From here, it is simple:

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

C

I hope this helps! Let me know if you have any questions :)

Answer:

this is the accurate answer of your questions

Answer:

Step-by-step explanation:

rather than doing all of the sums, you should just learn the formula (for the pattern)

it is n(highest + lowest) where n is number of numbers

             2

for example 2+3+4+5+6 = 20

5(6+2) =  20

  2

~~~~~~~~~~~~~~~~~~~~

1+2+3+4+5+6+7+8 = 36

8(9) = 72/2= 36

2

Answer:

4 is the answer...........

_4 is the best answer of this question

Answer:

sorry also maybe a diagram would have helped

Answer:

Exact Form: [tex]\frac{17}{6}[/tex]

Decimal Form: 2.83

Mixed Number Form: [tex]2 and 5/6[/tex]

Step-by-step explanation:

Answer:

[tex]1\frac{1}{10}[/tex]

Step-by-step explanation:

[tex]4\frac{1}{3}-2\frac{1}{2}[/tex]

[tex]4\frac{2}{6} -2\frac{3}{6}=1\frac{5}{6}[/tex]

[tex]1\frac{5}{6} =\frac{11}{6}[/tex]

[tex]1\frac{2}{3}=\frac{5}{3}[/tex]

[tex]\frac{11}{6}[/tex] ÷ [tex]\frac{5}{3} =[/tex]

[tex]\frac{11}{6} *\frac{3}{5}=[/tex]

[tex]\frac{11}{2}*\frac{1}{5} =[/tex]

[tex]=\frac{11}{10}[/tex]

[tex]=1\frac{1}{10}[/tex]

Hope this is helpful

Answer:

The answer is 9².

Step-by-step explanation:

9⁵ = 59049

9³ = 125

59049 ÷ 125 (9⁵ ÷ 9³) = 81

9² (9 × 9) = 81

Answer:

0.67!

Step-by-step explanation:

0.6 is just 0.60 which is less than 0.67

Answer:

four and six one hundredths

406/100

4.06 = (4 x 1) + (0/10) + (6/100)

Answer:

all positive real numbers, (0, ∞)

Step-by-step explanation:

The log function is not defined for 0 or for negative numbers.

The domain of the log function is all positive real numbers.

Answer: all positive real numbers

Answer:

55.1 ft ; 236.7 ft^2

Step-by-step explanation:

radius = 7.5 ft

Perimeter of the semicircles = 2 * radius * pi = 2 * 7.5 * pi = 47,12389 ft

Perimeter of the rectangle = 4 * 2 = 8 ft

Total perimeter = 55,12389 ft

Area of the semicircles = radius^2 * pi = 7.5^2 * pi = 176,714587 ft^2

Area of the rectangle = 4 * 15 = 60 ft^2

Total area = 236,714587 ft^2

Answer:

385

Step-by-step explanation:

(3/5 x 10/8) - (7/9 x 3/8) + (4/5 x 7/2)

=3/4-7/24+14/5

=90/120 - 35/120 + 840/120

=46200/120

=385

Hope this helps!

Answer:

"-2" is the same in all expressions, and it's just plus or minus. so let's ignore the "-2" and look only at the rest

+1 is the greatest then

so -2+1 is the greatest

Answer:

cardioid

Step-by-step explanation:

r=2+2 sin(theta)​

This is of the form

r =a+b theta

This is a limacon

When a = b, it is called a cardioid.

Answer:

y = 1/3 x

Step-by-step explanation:

y = kx

13 = k 39

k = 13/39

k = 1/3

y = 1/3 x

Answer:

second option , third option and last option

Step-by-step explanation:

3x - 12 - 2(x + 12)

=3x - 12 -2x - 24

=x - 36