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3 years ago

what information is necessary to prove the triangles congruent by ASA? by AAS ? show your work please.

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

3 0

Answer:

See Explanation

Step-by-step explanation:

For ASA

$\angle R \cong \angle E$

$RQ \cong EF$

$\angle Q \cong \angle F$

$\triangle PRQ \cong \triangle GEF$

For AAS

$\angle P \cong \angle G$

$\angle R \cong \angle E$

$RQ \cong EF$

$\triangle PRQ \cong \triangle GEF$

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It said i need to simplify. how do i

horrorfan [7]

Answer:

The equation relating the volume of water, y to the volume of flour, x is therefore;

y = 1/3×x

The quantity of water per liter of flour = 1/3 liters

The quantity of flour per liter of water = 3 liters

Step-by-step explanation:

The given information from the graph are;

At 0 liters of water, the volume of flour = 0 liters of flour

At 1 liter of water, the volume of flour = 3 liters of flour

The relationship between the volume of water and flour is linear given s follows;

The equation for a linear relationship is y = m·x + c

m = The gradient or slope of the line, c = the y-intercept

In the graph the y-intercept = 0 therefore, c = 0

The slope, m is (change in y-coordinate)/(Change in x-coordinate)

∴ m = (1 - 0)/(3 - 0) = 1/3

The equation relating the volume of water, y to the volume of flour, x is therefore;

y = 1/3×x

Such that when the question asks, how many liter of water is used per liter of flour, we get;

y = 1/3× 1 = 1/3 liters

Similarly when the question asks, how many liter of flour is used per liter of water, we get;

1 = 1/3×x

x = 3 × 1 = 3 liters.

4 0

3 years ago

The Copy Shop has made 20 copies of a document for you. Since the defective rate is 0.1, you think there may be some defective c

Pepsi [2]

Answer:

Binomial

There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.

Step-by-step explanation:

For each copy of the document, there are only two possible outcomes. Either it is defective, or it is not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem

Of the 20 copies, 2 are defective, so $p = \frac{2}{20} = 0.1$ .

What is the probability that you will encounter neither of the defective copies among the 10 you examine?

This is P(X = 0) when $n = 10$ .

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.1)^{0}.(0.9)^{10} = 0.3487$

There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.

8 0

3 years ago

A home improvement store normally sells 20-foot extension ladders for $225. This week the ladders are discounted by 20%. What is

Fantom [35]

Answer:

The answer is 180

Step-by-step explanation:

So to start off you have to turn 20% into a decimal and that is .20.

Next you need to mutiply 225 and .20 and you will get 45 (that means it is $45 off)

Subtract 45 fro 225 and that is your answer.

You now pay $180 for the 20 foot extension ladder.

5 0

3 years ago

Compleete the equation of the line whose y-intercept 0-,1 and slope is 4

siniylev [52]

Answer:

y = 4x - 1

Step-by-step explanation:

y = mx + b, m is the slope, b is the y intercept or -1

7 0

3 years ago

Find the area of a regular hexagon with side length of 10 and apothem of 8.7 meters <br>HELP PLZZZ

muminat

Answer:

43.5 meters

Step-by-step explanation:

Area of regular hexagon =

$\frac{1}{2} \times ap$

in the problem you have a = 10 meters

and p = apothem = 8.7 meters

so if you apply the formula

you will have

area =( 1/2) × 10 × 8.7

area = 43.5 meters

8 0

3 years ago

what information is necessary to prove the triangles congruent by ASA? by AAS ? show your work please.​

what information is necessary to prove the triangles congruent by ASA? by AAS ? show your work please.