Solve the equation and state a reason for each step.

Mathematics

1 answer:

diamong [38]3 years ago

8 0

Step-by-step explanation:

2(4x+2)/2 =20÷2 (to remove to we do the opposite operation)

4x+2=10

4x+2-2=10-2( to remove +2 we do -2)

4x=8

4x/4=8/4

x=2

You might be interested in

Complete the table using the equation y = 3x

erica [24]

Answer:

Table is attached with values, but answers are:

(0, 0) (1, 3) (2, 6) (3, 9)

Step-by-step explanation:

y = 3x

Substitute all values.

y = 3(0)

y = 0

0, 0

y = 3(1)

y = 3

1, 3

y = 3(2)

y = 6

2, 6

y = 3(3)

y = 9

3, 9

4 0

2 years ago

Read 2 more answers

Use the drop-down menus to complete the proof. Given that w ∥ x and y is a transversal, we know that ∠1 ≅∠5 by the . Therefore,

ololo11 [35]

Answer:

From the graph attached, we know that $\angle 1 \cong \angle 5$ by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like $\angle 1$ and $\angle 5$ .

We also know that, by definition of linear pair postulate, $\angle 3$ and $\angle 1$ are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.

They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that $\angle 3$ and $\angle 1$ together are 180°, because they are on a straight angle. That is, $m \angle 3 + m \angle 1 = 180\°$

If we substitute $\angle 5$ for $\angle 1$ , we have $m \angle 3 + m \angle 5 = 180\°$ , which means that $\angle 3$ and $\angle 5$ are also supplementary by definition.