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lianna [129]
3 years ago
8

If ΔABC ≅ ΔDEF by SSS and AB = 5x + 6 and DE = 3x +10, then what must be the value of x?

Mathematics
1 answer:
ANTONII [103]3 years ago
4 0

Answer:

ab=de corresponding side of the congruent triangle are equal

5x+6=3x+10

5x-3x=10-6

2x=4

x=4/2=2

2 is your answer

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The sum of two numbers is 12. The difference of the two numbers is 22. Find the two numbers
valentina_108 [34]

Answer:

-5 and 17

Step-by-step explanation:

The sum of two numbers (let's just say number a and number b) is 12.

a + b = 12

The difference between the same two numbers (still a and b) is 22.

b - a = 22

(Move variable a to the right side to get the following.)

b = 22 + a

(This way, we can substitute b = 22 + a into the first equation, a + b = 12, and solve.)

a + (22 + a) = 12

a + a + 22 = 12

2a = -10

a = -5

a + b = 12

-5 + b = 12

b = 17

7 0
2 years ago
PLEASE HELP ME!!!!!!!!!The peaches are priced at 3 for $2.How much does one dozen cost? Write an equivalent ratio. Show your wor
Vsevolod [243]
So if it is 3 for $2 you multiply 2 by 4 because 3*4=12 and that is one dozen.
So the answer you are looking for is 2*4=8. So one dozen is $8. 
3 0
3 years ago
The angles below are supplementary. What is the value of x?
USPshnik [31]
Since the angles are supplementary, we know that they must add up to equal 180 degrees by the definition of supplementary angles

set the sum of the 2 angles to equal 180 and solve for x

6x + 48 + 60 = 180
6x + 108 = 180
6x = 72
x = 12

you could check to make sure that your x value is correct by plugging it back into the equation

6(12) + 48 + 60 = 180
72 + 48 + 60 = 180
120 + 60 = 180
180= 180

hope this helped!
8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Csqrt%5B-%5D%7B64%7D" id="TexFormula1" title="\sqrt[-]{64}" alt="\sqrt[-]{64}" align="absmid
Gemiola [76]
Answer: -8





Explanation:

-sqrt(64)

If 8 x 8 = 64, then the square root of 64 is 8.

Result: -8

3 0
3 years ago
The following table contains data collected on the math averages of seniors in high school and their math averages as freshman i
vichka [17]
Where's the table?....
3 0
3 years ago
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