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zhenek [66]
3 years ago
6

4. For each equation, determine if =-2 is a solution. Explain or show your reasoning.

Mathematics
1 answer:
Aneli [31]3 years ago
6 0

Answer:

a. 14 b. -2

Step-by-step explanation:

a. 10=2x-18

28=2x ; x=14

b. 3x+12=2x+6+4

3x+12=2x+10

x=-2

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△ABC ≅ △DEF, EF = x 2 - 7, and BC = 4x - 2.
Artist 52 [7]

Answer:

Therefore the value of x is 5.

Step-by-step explanation:

Given:

△ABC ≅ △DEF,

EF = x 2 - 7, and

BC = 4x - 2.

To Find:

the values of x. = ?

Solution:

△ABC ≅ △DEF      ........Given

If two Triangles are congruent then the Corresponding Parts of Congruent Triangles are Congruent.

∴ BC ≅ EF   ...................CPCTC

Substituting the values we get

4x-2=x^{2}-7\\x^{2}-4x-5=0

Now By Factorizing we get

x^{2}-5x+x-5=0\\x(x-5)+1(x-5)=0\\(x+1)(x-5)=0\\x+1=0\ or\ x-5=0\\x=-1\ or\ x=5\\x\ cannot\ be\ negative\\\therefore x=5

Therefore the value of x is 5.

8 0
3 years ago
Exercise: Evaluate the expressions for a = 2 and b = 6<br> (a + b)2
Vesnalui [34]

Answer:

16

Step-by-step explanation:

Simply plug in 2 for a, then 6 for b and substitute

(2+6)2

Then do order of operations to simplify PEMDAS

First what's inside the parenthesis

(8)2

Then multiply

16.

8 0
2 years ago
Read 2 more answers
Solve for x<br><br> A. x=72<br> B. x=27<br> C. x=108<br> D. x=63
erastovalidia [21]
X + x + 36 = 90
2x = 54
x = 27 Answer
4 0
3 years ago
To which set or sets does -20 belong to, whole numbers, rational numbers or integers
Bad White [126]
It belongs to all of them.
4 0
3 years ago
-3-6x=9 please help solve for x!!!!
Vinil7 [7]

Answer: x= -2

Step-by-step explanation:

Here you go!

7 0
2 years ago
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