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nikitadnepr [17]
4 years ago
6

Which ordered pair is a solution to the system of equations 4x-y=10 y=2x-2

Mathematics
1 answer:
slava [35]4 years ago
6 0

Answer:

single solution : (4 ; 6)

Step-by-step explanation:

hello :

4x-y=10.....(1)

y=2x-2.....(2)

put the value for y in (1) :

4x-(2x-2)=10

4x-2x +2 = 10

2x=8

x=8/2 =4

but : y = 2x-2

so : y =2(4)-2=6

single solution : (4 ; 6)

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Read 2 more answers
Segments
Ipatiy [6.2K]

There are several ways two triangles can be congruent.

  • \mathbf{AC = BD}<em> congruent by SAS</em>
  • \mathbf{\angle ABC \cong \angle BAD}<em> congruent by corresponding theorem</em>

In \mathbf{\triangle AOL} and \mathbf{\triangle BOK} (see attachment), we have the following observations

1.\ \mathbf{AO = DO} --- Because O is the midpoint of line segment AD

2.\ \mathbf{BO = CO} --- Because O is the midpoint of line segment BC

3.\ \mathbf{\angle AOB =\angle COD} ---- Because vertical angles are congruent

4.\ \mathbf{\angle AOC =\angle BOD} ---- Because vertical angles are congruent

Using the SAS (<em>side-angle-side</em>) postulate, we have:

\mathbf{AC = BD}

Using corresponding theorem,

\mathbf{\angle ABC \cong \angle BAD} ---- i.e. both triangles are congruent

The above congruence equation is true because:

  1. <em>2 sides of both triangles are congruent</em>
  2. <em>1 angle each of both triangles is equal</em>
  3. <em>Corresponding angles are equal</em>

See attachment

Read more about congruence triangles at:

brainly.com/question/20517835

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