For the equations given below, which statement is true?

Mathematics

1 answer:

seraphim [82]3 years ago

3 0

Answer:

D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first

equation by any value

Step-by-step explanation:

-21=14 Equ(1)

6.1=-42 Equ(2)

Multiplying the first equation by -3 will give

-63= -42

Which is not equivalent to the second equation

Multiplying the first equation by 3, we have

-63=42

Not equivalent to the second equation

Multiplying both sides of the first equation by -4, we have

84=56

Not equivalent to the second equation

D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first

equation by any value

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Pls Help! John wants to prove ABC = to DEF. He Knoes AB = DE and AC = DF. With Screenshot

matrenka [14]

Answer:

$\angle A \cong \angle D$

Step-by-step explanation:

The Side-Angle-Side method cana only be used when information given shows that an included angle which is between two sides of a ∆, as well as the two sides of the ∆ are congruent to the included side and two sides of the other ∆.

Thus, since John already knows that $\overline{AB} \cong \overline{DE}$ and $\overline{AC} \cong \overline{DF}$ , therefore, an additional information showing that the angle between $\overline{AB}$ and $\overline{DE}$ in ∆ABC is congruent to the angle between $\overline{AC}$ and $\overline{DF}$ in ∆DEF.

For John to prove that ∆ABC is congruent to ∆DEF using the Side-Angle-Side method, the additional information needed would be $\angle A \cong \angle D$ .

See attachment for the diagram that has been drawn with the necessary information needed for John to prove that ∆ABC is congruent to ∆DEF.