Reflections and transformations

Answers

Answer 1

Answer: STATEMENTS REASONS
1. ∠X ~= ∠Z; XY~=ZY 1. Given
2. ∠Y~=∠Y 2. Reflexive Property
3. ΔXYB ~= ΔZYA 3. ASA Congruence Theorem
4. AZ~=BX 4. Corresponding Parts of Congruent Triangles are Congruent

~= means congruent to
Hope that helped!

Related Questions

Decorating your house for Christmas takes 106ft of lights. You use two lengths of lights,the short length of lights is 5 ft and the long length of lights is 11 ft. The total number ofstrings of lights you use is 14. How many of each type of light do you have?
Which fractions convert into repeating decimals? Select ALL that apply. 4/40. 12/100. 3/18. 1/5. 9/27
In △ABC, point P∈ ABis so that AP:BP=1:3 and point M is the midpoint of segment CP. Find the area of △ABC if the area of △BMP is equal to 21m2.
A government bureau keeps track of the number of adoptions in each region. The accompanying histograms show the distribution of adoptions and the population of each region. a) What do the histograms say about the distributions? b) Why do the histograms look similar? c) What might be a better way to express the number of adoptions?
I NEED HELP WITH #5 PLZ ! Need by midnight and plz tell me how you solved it. Thank you in advance.

Answers

Answer:

660 ways

Step-by-step explanation:

we have two numbers in consecutive positions in this question

(1,1) and (2,2)

numbers of ways that (1,1) are in consecutive positions = 6!/2! = 360

number of ways that (2,2) are in consecutive positions = 6!/2! = 360

the permutation of (11),(22),3,4,5 = 5!

ps:I countedthepairsasoneeach.

5! = 120

to get total number of permutations

7!/2!2!

= 5040/4

= 1260

the number of ways that 2 identical digits are not consecutively positioned = 1260-360-360+120

= 660 ways

a technician charges 25$ per hour plus 50$ for a house call to repair home computers. make a table and a graph to show the cost for 1,2,3, and 4 hours of home computer repair service. is there a direct variation?

Answers

Answer:

75$

Step-by-step explanation:

because 25+50=75

Answer:

The graph starts at $75 since the price for call is $50 and 1 hour of work costs $25.

Direct variation is only noticeable at the beginning of the graph after that the function is linear.

Step-by-step explanation:

$(1)/(3) (2x - y) = z$
help please right now

Answers

Answer:

Step-by-step explanation:

on no

A culture started with 5000 bacteria after three hours it grew 6500 bacteria predict how many bacteria will be present after 13 hours round your answer to the nearest whole number

Answers

Answer:

15595 bacteria will be present after 13 hours.

Step-by-step explanation:

Continuous population growth:

The continuous population growth model, for the population after t hours, is given by:

$P(t) = P(0)e^(rt)$

In which P(0) is the initial population and r is the growth rate.

Started with 5000 bacteria

This means that $P(0) = 5000$

$P(t) = 5000e^(rt)$

After three hours it grew 6500 bacteria:

This means that $P(3) = 6500$ . We use this to find r.

$P(t) = 5000e^(rt)$

$6500 = 5000e^(3r)$

$e^(3r) = (65)/(50)$

$\ln{e^(3r)} = \ln{(65)/(50)}$

$3r = \ln{(65)/(50)}$

$r = \frac{\ln{(65)/(50)}}{3}$

$r = 0.0875$

$P(t) = 5000e^(0.0875t)$

How many bacteria will be present after 13 hours?

This is P(13). So

$P(13) = 5000e^(0.0875*13) = 15594.8$

Rounding to the nearest whole number

15595 bacteria will be present after 13 hours.

The price of a train ticket consists of an initial fee of $5 plus a fee of $2.75per stop

Answers

The inequality that represents this scenario is:

$5 + 2.75x \le 21$

The complete question describes the use of word problems to represent inequalities. The $21 means that there is a limit to the number of stops she can take using the train.

From the complete question, we have the following parameters:

Initial Fee = $5

Rate per stop = $2.75

Amount = $21

The inequality that represents the scenario is calculated using:

Initial Fee + Rate * Number of stops <= Amount

We use <= because the total charges must not exceed the amount.

Let the number of stops be x.

The above formula becomes

$5 + 2.75 * x \le 21$

$5 + 2.75x \le 21$

Hence, the inequality that represents this scenario is:

$5 + 2.75x \le 21$

Answers

find the attached picture.

The given fraction involves two Rational Expressions, one in numerator and one in denominator.

The rational expression in the denominator can be multiplied to the numerator after taking its reciprocal, this will help to simplify the expression as shown below:

$( (5x)/(2x+3) )/( (x+1)/(3x) ) \n \n = (5x)/(2x+3) * (3x)/(x+1) \n \n = (15 x^(2) )/((2x+3)(x+1))$

There are no common factors in the numerator and the denominator so the expression cannot be simplified any further.

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Plz help I don’t get it

Assume that you have a balance of $5000 on your Visa credit card and that you make no more charges. If your APR is 22% and each month you make only the minimum payment of 3% of your balance, then find a formula for the balance after t monthly payments.A) 5000(0.952217)tB) 5000(1.011117)t C) 5000(0.987783)tD) 5000(1.048883)tCan someone explain to me how to solve this please