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3 years ago

If 4 + 8=12, and 12 =17-5 then 4+8=17-5 is it equality or congruence

Mathematics

1 answer:

gayaneshka [121]3 years ago

7 0

Answer:

I believe it would be equality.

Step-by-step explanation:

Equality means "The state of being equal". All of those problems equal 12 and not separate numbers, if they equaled different numbers then it would be congruence, therefor your answer is equality.

Hope this helps :)

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A certain triangle has a perimeter of 3084 mi. The shortest side measures 76 mi less than the middle side, and the longest side

kari74 [83]

shortest side: 851

middle side:927

longest side : 1306

Explanation

Step 1

Let

x represents the shortest side

y represents the middle side

z represents the longest side

so, set the equations

a) the perimeter of a rectangle is the sum of the sides, so

$\begin{gathered} \text{Perimeter= side1+side2+side3} \\ replace \\ 3084=x+y+z \\ x+y+z=3084\Rightarrow\text{ Equation(1)} \end{gathered}$

b) The shortest side measures 76 mi less than the middle side( in other words, you have to subtract 76 from middle side to get the shortest side)

$x=y-76\Rightarrow equation(2)$

c) and the longest side measures 379 mi more than the middle side,( in other words, you have to add 379 to middle side to obtain the longest side)

$z=y+379\Rightarrow equation(3)$

Step 2

solve the equations

a) now, replace the x an z value sfrom equation (2) and (3) into equation(1)

$\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ (y-76)+y+(y+379)=3084 \\ -76+3y+379=3084 \\ 303+3y=3084 \\ 3y=3084-303 \\ \\ 3y=2781 \\ \text{divide both sides by 3} \\ \frac{3y}{3}=\frac{2781}{3} \\ y=927 \end{gathered}$

now, replace the y value in equatino (2) to find x

$\begin{gathered} x=y-76\Rightarrow equation(2) \\ x=927-76 \\ x=851 \end{gathered}$

c) finally, prelace x and y value in equation (1) to find z

$\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ 851+927+z=3084 \\ \text{add like terms} \\ 1778+z=3084 \\ \text{subtract 1778 in both sides} \\ 1778+z-1778=3084-1778 \\ z=1306 \end{gathered}$

shortest side: 851

middle side:927

longest side : 1306

I hope this helps you

4 0

1 year ago

Are the expressions 3/4a + 8 - 1/4a - 2 and 1/2(a + 12) equivalent? Show why or why not.

natta225 [31]

Answer:Yes they are equivalent.

Step-by-step explanation:

3/4a + 8 - 1/4a - 2 1/2(a + 12)

Combine like terms Distributive property

2/4a+6 1/2a+6

2/4=1/2 (simplify)

1/2+6=1/2+6

4 0

3 years ago

Which answer choice

joja [24]

Answer: b

Step-by-step explanation: I did this on a test before

7 0

2 years ago

The sum of the digits of a two-digit number is 14. If the number formed by reversing the digits is less than the original number

HACTEHA [7]

Answer:

Step-by-step explanation:

1. a+b=14 ⇒ a= 14-b

2. 10a+b=18+10b+a ⇒ a= 2+b

comparing 1 and 2:

14-b= 2+b ⇒ 2b= 12 ⇒ b= 6

a= 14-b= 8

number = 86

reversed number = 68

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3 years ago

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Trava [24]

Answer:

rotation

Step-by-step explanation:

because the earth rotates

8 0

2 years ago

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