Triangle Congruency Proofs: Complete each proof. Remember to MARK THE DIAGRAM

Mathematics

1 answer:

svlad2 [7]3 years ago

6 0

Answer:

Statement Reason

AC ≅ AR Given

∠1 ≅ ∠2 Given

∠A ≅ ∠A Vertical angles

ΔCAT ≅ ΔRAD ASA postulate

∠1 ≅ ∠2 corresponding parts of congruent triangles are congruent.

Step-by-step explanation:

For the third statement, I'm assuming from the picture that points C, A and D are collinear, and points T, A and R are also collinear.

You might be interested in

A single die is rolled twice. Find the probability of rolling an even number the first time and a number greater than 3 the seco

IceJOKER [234]

Events

• A: an even number is rolled in the first time

• B: a number greater than 3 is rolled the second time

The probability of rolling an even number is:

$\begin{gathered} P(A)=\frac{\text{ number of favorable outcomes}}{\text{ total possible outcomes}} \\ P(A)=\frac{3}{6} \\ P(A)=\frac{1}{2} \end{gathered}$

The probability of rolling a number greater than 3 is:

$\begin{gathered} P(B)=\frac{\text{ number of favorable outcomes}}{\text{ total possible outcomes}} \\ P(B)=\frac{3}{6} \\ P(B)=\frac{1}{2} \end{gathered}$

Events A and B are independent, then the probability of one happening after the other is:

$\begin{gathered} \text{ P(A and B) = }P(A)\cdot P(B) \\ \text{ Substituting with the values previously found:} \\ \text{ P(A and B) = }\frac{1}{2}\cdot\frac{1}{2} \\ \text{ P(A and B) = }\frac{1}{4} \end{gathered}$

8 0

1 year ago

When 15 is subtracted from 3 times a number the result is -32. what is the number?

Vilka [71]

Answer:

15.6

Step-by-step explanation:

15+32=47

47/3=15.6

since the - is there

it will be -15.6

5 0