All categories

2 years ago

Determine if the triangles are congruent. If so, identify a theorem or postulate that proves them congruent.

Mathematics

1 answer:

Kitty [74]2 years ago

8 0

Answer: a. ASA

Step-by-step explanation:

They are congruent by ASA beacuse 1 angle and 1 side are given to be congruent and there is also a pair of vertical angles that are congruent.

You might be interested in

Should it be facing left or right ?

riadik2000 [5.3K]

Answer:

Facing Right

Step-by-step explanation:

Given inequalities are:

4-x≤-1

Subtracting 4 from both sides

4-x-4≤-1-4

-x≤-5

Multiplying both sides with -1. Multiplying with a negative number changes the sign of the inequality

So,

x≥5

Second Inequality:

2+3x≥17

Subtracting 2 from both sides

2+3x-2≥17-2

3x≥15

Dividing both sides by 3

x≥5

Union of both solutions:

x≥5 ∩ x≥5

=> x≥5

Hence the solution will be facing right on the number line towards all numbers greater than or equals to 5 ..

3 0

3 years ago

Find the sum of (x + 5),(-4x - 2) and (2x - 1)

Elina [12.6K]

Answer:

-x + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

(x + 5) + (-4x - 2) + (2x - 1)

Step 2: Simplify

Combine like terms (x): -x + 5 - 2 - 1
Combine like terms (Z): -x + 2

7 0

2 years ago

Read 2 more answers

You are given 3 to 1 odds against tossing three tails with three coins, meaning you win $3 if you succeed and you lose $1 if

valentina_108 [34]

Step-by-step explanation:

To find the E(X) expected value, you come up with the different probabilities for each outcome
your set of outcomes after 3 tosses would be = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} where H is heads and T is tails
Each element has a probability of 1/8 so let x represent number of tails
$Probability(x)=P(x)\\P(0)=\frac{1}{8} \\P(1)=\frac{3}{8} \\P(2)=\frac{3}{8} \\P(3)=\frac{1}{8}$
The E(x)=Summation (x times P(x))
$E(X)=(0)(0.125)+(1)(0.375)+(2)(0.375)+(3)(0.125)=1.5$
Now which probability is 1.5 tails? None, so it is either 2 tails or 1 tails
So you can expect to lose money in 1 game
But as you play more games the probability of getting 3 tails becomes more and more likely, so you can expect to win in a 100 games