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ipn [44]
3 years ago
11

Solve the equation and check your solution. (If an answer does not exist, enter DNE. If all real numbers are solutions, enter RE

ALS.)
5x − 4 = 4x + 8
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
5 0
5x-4=4x+8
-4x. -4x
X-4=8
+4. +4
X=12
5(12)-4=4(12)+8
60-4=48+8
56=56
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In the figure, and bisect each other. Complete the statements to prove that quadrilateral ABCD is a parallelogram.
Alisiya [41]

Observe the figure below.

    Statement                                                                          Reason

1. AC and BD bisect each other                                             Given

2. AE = EC and BE = ED                                                         Definition of bisection

3. m \angle AEB = m \angle CED                       Vertical angle theorem

Vertical angle theorem states " When two lines intersect each other, the vertically opposite angles are always equal".

4. \Delta ABE \cong \Delta CDE                         SAS criterion for congruence

5. m \angle ACD = m \angle CAB           Corresponding angles of congruent triangles are congruent

6. AB \parallel CD                                 Converse of alternate interior angle theorem

7.  m \angle BEC = m \angle AED                   Vertical angle theorem

8.  \Delta BEC \cong \Delta DEA            SAS criterion for congruence

9.  BC \parallel AD                                 Converse of alternate interior angle theorem

As, \Delta BEC \cong \Delta DEA, so m \angle CBD = m \angle BDA as corresponding parts of corresponding triangles are equal. As these angles are alternate interior angles, so the lines BC and AD are parallel by  "Converse of alternate interior angle theorem".

5 0
3 years ago
bill number is a multilply of 3. rachel number is more than bills number . Geroge number is exactly two times as rachel number.
astra-53 [7]

Answer:

bill is 6 george is 36 and mia is 12

Step-by-step explanation:

6 times 6 is 36 and 1/3 of that is 12. hope I did that right.

8 0
3 years ago
Is the equation y=x+1 / x²+1 in simplest form? Explain how you can tell.
Lana71 [14]

According to the question, the equation \frac{x+1}{x^{2} +1} is the algebraic equation as well as polynomial equation. Using square root principles, the equation can be re-write.

The factors of the denominator term is not possible and it cannot be simplified. And the simplification is possible with the concept of complex number.

What is polynomial expression?

Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.

To learn more about the polynomial expression from the given link:

<u>brainly.com/question/1280754</u>

#SPJ4

8 0
1 year ago
-3 raised to the power 0=
son4ous [18]

Given:

The statement is "-3 raised to the power 0".

To find:

The value of the given expression.

Solution:

We know that a raised to the power b can be written as a^b.

Any non zero number raised to the power 0 is always 1. It means,

a^0=1, where a\neq 0.

-3 raised to the power 0 =(-3)^0

                                         =1

Therefore, the value of the given statement is 1.

3 0
2 years ago
What is the division algorithm for 7 and 192?
Mandarinka [93]

Answer:

We have a formula for division algorithm  a= bq+r            (1)

a is the greatest integer between the two given integers

And b is the other integer

q is the quotient

r is the remainder

here we have a=192 and b=7  substituting values in equation (1) we get

192 = 27 *7 + 3                       (2)

now  substitute quotient from equation (2)  in place  of a  that is a=27  and remainder  in place of b that is b =3 in equation as below

27= 9*3 +0

we will proceed till we get remainder zero.


8 0
3 years ago
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