Which pair of triangles can be proven congruent by SAS?

Answer:

Sally earns graduated commission on her sales each month. She earns 6% commission on the first $45,000 in sales and 8% on anything over that. If Sally had $51,000 in sales this month, how much commission did she earn?

Step-by-step explanation:

Edge 2021

Answer:

434

Step-by-step explanation:

310 times .4 (percentage) = 124 which is how much she gained, then you add that onto the original amount to find how many she has now, which is 434

basically all you're doing here is subtracting 6 from 11. 11-6=5, add the - sign, so the answer is -5

Answer:

12

Step-by-step explanation:

Find the areas of all the separate shapes, then add them together.

Answer:

0.5 = 50% probability that he or she is not in any of the language classes.

Step-by-step explanation:

We treat the number of students in each class as Venn sets.

I am going to say that:

Set A: Spanish class

Set B: French class

Set C: German class

We start building these sets from the intersection of the three.

In addition, there are 2 students taking all 3 classes.

This means that:

[tex](A \cap B \cap C) = 2[/tex]

6 that are in both French and German

This means that:

[tex](B \cap C) + (A \cap B \cap C) = 6[/tex]

So

[tex](B \cap C) = 4[/tex]

4 French and German, but not Spanish.

4 that are in both Spanish and German

This means that:

[tex](A \cap C) + (A \cap B \cap C) = 4[/tex]

So

[tex](A \cap C) = 2[/tex]

2 Spanish and German, but not French

12 students that are in both Spanish and French

This means that:

[tex](A \cap B) + (A \cap B \cap C) = 12[/tex]

So

[tex](A \cap B) = 10[/tex]

10 Spanish and French, but not German

16 in the German class.

This means that:

[tex](C - B - A) + (A \cap C) + (B \cap C) + (A \cap B \cap C) = 16[/tex]

[tex](C - B - A) + 2 + 4 + 2 = 16[/tex]

[tex](C - B - A) = 8[/tex]

8 in only German.

26 in the French class

[tex](B - C - A) + (A \cap B) + (B \cap C) + (A \cap B \cap C) = 26[/tex]

[tex](B - C - A) + 10 + 4 + 2 = 26[/tex]

[tex](B - C - A) = 10[/tex]

10 only French

28 students in the Spanish class

[tex](A - B - C) + (A \cap B) + (A \cap C) + (A \cap B \cap C) = 16[/tex]

[tex](A - B - C) + 10 + 2 + 2 = 28[/tex]

[tex](A - B - C) = 14[/tex]

14 only Spanish

At least one of them:

The sum of all the above values. So

[tex](A \cup B \cup B) = 14 + 10 + 8 + 10 + 2 + 4 + 2 = 50[/tex]

None of them:

100 total students, so:

[tex]100 - (A \cup B \cup B) = 100 - 50 = 50[/tex]

(a) If a student is chosen randomly, what is the probability that he or she is not in any of the language classes?

50 out of 100. So

50/100 = 0.5 = 50% probability that he or she is not in any of the language classes.

Answer:

A. 96

Step-by-step explanation:

By using slope formula we got that  average rate of change of the function over the interval [1, 3] is 48 .

the rate at which one variable of a function changes in relationship to another variable  is called average rate of change.

Here we can see in graph that

when x =1 y=12

and when x= 3 ,y=108

Now we know that rate of change is same as slope of straight line passing through that points

So average rate of change can be calculated as

[tex]=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]=\frac{108-12}{3-1}\\\\[/tex]

[tex]\frac{96}{2}[/tex]

=48

By using slope formula we got that  average rate of change of the function over the interval [1, 3] is 48 .

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Answer:

0.45 = 45% probability that the member uses the golf course but not the tennis courts

Step-by-step explanation:

I am going to solve this question using the events as Venn sets.

I am going to say that:

Event A: Uses the golf courses.

Event B: Uses the tennis courts.

5% use neither of these facilities.

This means that [tex]P(A \cup B) = 1 - 0.05 = 0.95[/tex]

75% use the golf course, 50% use the tennis courts

This means, respectively, by:

[tex]P(A) = 0.75, P(B) = 0.5[/tex]

Probability that a member uses both:

This is [tex]P(A \cap B)[/tex]. We have that:

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]

So

[tex]P(A \cap B) = 0.75 + 0.5 - 0.95 = 0.3[/tex]

What is the probability that the member uses the golf course but not the tennis courts?

This is [tex]P(A - B)[/tex], which is given by:

[tex]P(A - B) = P(A) - P(A \cap B)[/tex]

So

[tex]P(A - B) = 0.75 - 0.3 = 0.45[/tex]

0.45 = 45% probability that the member uses the golf course but not the tennis courts

Answer:

1

12 ------

3

5x+3=3x+10 the first thing we're going to do it to subtract 3 from both sides which would look like this

5x+3-3x=10 (the minus because it changed place)

from 5x and 3x we get 2x so the next step is 2x=10-3 which is 7

so now we have

2x=7

x=7/2

Answer:

x=3

Step-by-step explanation:

5x+4 = 3x+10

2x = 6

therefore, x = 3

Verification:

5 * 3 + 4 = 3 * 3 + 10

15+4 = 9+10

19=19

Therefore, LHS= RHS

Hence Proved!

Answer im not in grade

Step-by-step explanation:

Answer:

Multiply the first equation by 4 and the second equation by -3:

-12x + 16y = 4

12x - 15y = -6

‣ Add the equations:

‣ Solve for y:

y = -2

‣ Substituting y = -2 into the first equation, we get:

-12x + 16 ⋅ (-2) = 4

‣ Solve for x:

x = -3

‣ Solution:

x = -3, y = -2)

DUDE SORRY My first answer wrong, I'm a bit tired but here you go

Answer:

4000

Step-by-step explanation:

36kg = 36000g

36000g/9 bags = 4000g

The weight of one bag of potatoes is 4 Kg,

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

The total weight of 9 bags of potatoes is 36 kilograms.

Then, weight of one bag of Potato is

= 36/9

= 4 Kg

Thus, One bag weigh 4 Kg.

Learn more about Unitary Method here:

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Answer:

ywg vuwibgwuhydj 3128820400=8

Answer: x*.2

Step-by-step explanation:

When you are trying to find the sale price you want to multiply the origanal price of the cellphone to the percentage you are getting off. Hope this helped!

Answer:

n < -6

Step-by-step explanation:

-4n>24

Divide each side by -4, remembering to flip the inequality

-4n/-4 < 24/-4

n < -6

Answer:

n < -6

Step-by-step explanation:

We are given the following equation and asked to solve for n:

Divide both sides by -4 to isolate n by itself, and since we are dividing/multiplying a negative number on both sides, we need to flip the inequality sign:

Answer:

15

Step-by-step explanation:

9x + 25 + x + 5 = 180

Add numbers = (25 + 5 = 30)

9x + 30 + x = 180

Combine like terms = (9x + x = 10x)

10x + 30 = 180

Subtract 30 from each side (10x + 30 - 30 = 180 - 30)

10x = 150

Divide 10 from each side (10x/10 = 150/10)

x = 15

Answer:

your answer will be 56 square millimeters

Step-by-step explanation:

hope it helps

Answer:

34 square meaters.

Step-by-step explanation:

Look at picture below!

Answer:

1 28

2 14

4 7

Step-by-step explanation:

7 4

14 7

28 1

...........

Answer: Their ear length will be thesame because there's no force of evolution.

Step-by-step explanation:

Based on the information given in the question as we are informed that the rabbits have no predators and that their mating habits seem to be perfectly random.

We should note that when they are sampled again in five years, due to the fact that there's no source of evolution, their ear length will be thesame. Also, their offspring number will be thesame as well.

Answer:

Options A and C are correct answers

Step-by-step explanation:

A) [tex] \angle 5\: and \:\angle 1[/tex] are complementary.

C) [tex] \angle 3\: and \:\angle 4[/tex] form a linear pair.

Hope it helps you in your learning process.

Answer:

I think question is not proper

you should check it again

hope your day will fine

Answer:

Whatttt

Step-by-step explanation:

Answer:72.603

Step-by-step :

70 + 2 + 6 ÷ 10 + 3 ÷ 1000

=72.603

Step-by-step explanation:

When x=36, only the first statement is true (x is a multiple of 3). this is because 12×3= 36

36 is not odd, making the other statement false