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den301095 [7]
3 years ago
10

Is there a rigid transformation that maps triangle ABC to triangle ABD? If so, which transformation?

Mathematics
2 answers:
kow [346]3 years ago
7 0

Answer:

Is there a rigid transformation that maps triangle ABC to triangle ABD? If so, which transformation?

yes, because a translation to the right will map ΔABC to ΔABD

yes, because a rotation about point B will map ΔABC to ΔABD

yes, because a reflection across BA will map ΔABC to ΔABD

no, because no rigid transformation will map ΔABC to ΔABD

Step-by-step explanation:

frutty [35]3 years ago
5 0

Answer: option c

Step-by-step explanation: I took a test

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Determine the total annual fica tax for an annual salary of $38,480.
egoroff_w [7]
The annual FICA (Federal Insurance Contributions Act) tax is composed of two parts: Social Security and Medicare Taxes. On the employee's side, he/she has to shoulder 6.2% of the annual salary for the Social Security Tax, and 1.45% of the annual salary for the Medicare Tax. So in total, FICA takes 7.65% of your annual salary as tax. To calculate the FICA tax to be paid, this is shown below:

$38,480 x 7.65% = $2943.72

Therefore, for an annual salary of $38,480, $2943.72 goes into FICA tax payment.
6 0
2 years ago
Read 2 more answers
sixteen slices of pizza are distributed in a society of four people so that one person receives eight slices, the second person
tresset_1 [31]

If all agree that the fair outcome would be the one where each person gets four slices, then could be improved at the expense of each person equally.

Given that,
sixteen slices of pizza are distributed in a society of four people so that one person receives eight slices, the second person receives six slices, the third receives two, and the last receive no pizza.
if no person wants to give up the pizza he or she has but they all agree that the fair outcome would be the one where each person gets four slices, then could be improved at the expense of is to be explained.

<h3>What is arithmetic?</h3>

In mathematics, it deals with numbers of operations according to the statements.

Here,

If all agree, that each of one should get an equal number of slices, then it can be concluded that each of them should pay an equal amount for the 4 pizzas.

Thus, if all agree that the fair outcome would be the one where each person gets four slices, then could be improved at the expense of each person equally.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ4

4 0
1 year ago
What is the basic ratio for 30:42
lianna [129]
30:42 is represented as 30/42
The lowest form for that is 5/7. Hope that helped. Good luck
6 0
3 years ago
Factorise = <br> 5m + 20
taurus [48]
So 20=2 itmes m2 times 5

5m=5 times m

so
5m=20
5 times m=2 times 2 times 5
divid eboth sides y 5
m=2 times 2
m=4
8 0
3 years ago
What is the range of the equation
a_sh-v [17]

The range of the equation is y>2

Explanation:

The given equation is y=2(4)^{x+3}+2

We need to determine the range of the equation.

<u>Range:</u>

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

y=2 \cdot 4^{x+3}+2

This can be written as y=2^{1+2(x+3)}+2

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

x=2^{1+2(y+3)}+2

Solving for y, we get;

x-2=2^{1+2(y+3)}

Applying the log rule, if f(x) = g(x) then \ln (f(x))=\ln (g(x)), then, we get;

\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)

Simplifying, we get;

(1+2(y+3)) \ln (2)=\ln (x-2)

Dividing both sides by \ln (2), we have;

2 y+7=\frac{\ln (x-2)}{\ln (2)}

Subtracting 7 from both sides of the equation, we have;

2 y=\frac{\ln (x-2)}{\ln (2)}-7

Dividing both sides by 2, we get;

y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}

Let us find the positive values for logs.

Thus, we have,;

x-2>0

     x>2

The function domain is x>2

By combining the intervals, the range becomes y>2

Hence, the range of the equation is y>2

7 0
3 years ago
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