D. 25 Math question please help

Mathematics

1 answer:

Wewaii [24]3 years ago

6 0

Alright this one is really simple even though it looks like alot. Start by looking at what they give you.

LM=9, LM is congruent to SP so SP=9

Now NR=16 and both NP and PR are congruent to MS.

16÷2=8
NP and PR = 8, So, MS=8

SR=8, MP is congruent to SR so MP=8

Alright so what we've just found out is that SP=9, MS=8, MP=8

We have three the line segments that make up SMP now! Just add them together to get your answer.
9+8+8= 25
Answer = D. 25

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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.