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Nata [24]
3 years ago
11

△XYZ was reflected over a vertical line, then dilated by a scale factor of , resulting in △X'Y'Z'. Which must be true of the two

triangles? Check all that apply.
△XYZ ~ △X'Y'Z'
XZY ≅ Y'Z'X'
YX ≅ Y'X'
XZ = 2X'Z'
mYXZ = 2mY'X'Z'

Mathematics
2 answers:
tekilochka [14]3 years ago
6 0

Answer:

1 4 5

Step-by-step explanation:

Igoryamba3 years ago
5 0

Answer:

correct option is △XYZ ~ △X'Y'Z'.

Step-by-step explanation:

since ΔXYZ is dilated by some scale factor so, the resulting triangle can not be congruent to the ΔXYZ. so option 2 is wrong.

as we have explained that the two triangles are not congruent then it's sides and angles also can't be congruent so, option 3 is also incorrect.

As we don't know by what factor the triangle XYZ is dilated so we can't say anything about correctness of option 4 and 5.

ΔXYZ  was reflected over a vertical line and then dilated so the resulting ΔX'Y'Z' is similar to ΔXYZ.

i.e., △XYZ ~ △X'Y'Z'.

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Need help with radical expression!!! It’s asking for a set of all x where the expression is defined in interval form!
gayaneshka [121]

Answer:  (0, 25) ∪ (25, ∞)

<u>Step-by-step explanation:</u>

The expression is undefined when the denominator is equal to zero and when the radicand (expression inside the radical) is less than zero.

Let's deal with the denominator first by finding the x-values that would make the denominator equal to zero (these are the values that will NOT be included in the interval notation)

x - 5√x = 0

x = 5√x          <em>added 5√x to both sides</em>

x² = 25x              <em>squared both sides</em>

x² - 25x = 0             <em>subtracted 25x from both sides</em>

x(x - 25) = 0                 <em>factored the quadratic equation</em>

x = 0   and   x - 25 = 0     <em>applied the Zero Product Property</em>

x = 0   and    x = 25              <em>solved for x</em>

<em />

So, x ≠ 0 and x ≠ 25

Next, let's deal with the radicand by setting the expressions inside the radicals to "greater than or equal to zero".

2√x   and   5√x     both have a radicand of x

x ≥ 0

Now, let's put it all together

x ≥ 0  and    x ≠ 0    and    x ≠ 25    

so, x is between 0 and ∞  but not including 0 or 25.

Interval Notation: (0, 25) ∪ (25, ∞)

Reminder that interval notation uses a bracket [ ] when the value is included and a parenthesis ( ) when the value is not included.  Infinity always uses a parenthesis since it is not an actual number.

6 0
3 years ago
Which of the following is most likely the next step in the series? Image is above
Margarita [4]

Answer:

A

Step-by-step explanation:

each picture has points on it first circle has 4 second circle has 3 third circle has 2 next will have 1 point

5 0
3 years ago
Help answer for a b and c work all of it out and show your work!thanks. Use the picture.
frozen [14]
216.4 is the total cost added up. 

198.77 would be the subtraction of the answer above with the hardware supplies but subtraction would be wrong so you'd have to divide, dividing would get you to 0.0814, the you'll have to divide the decimal by 100 giving you 0.0815.

Do the same steps above but with the paint and hardware. 

52.91/216.4 gives you 0.244501, rounded up would give you 0.000245.

Add those two totals together to get your answer, 0.081745.

Sorry if I'm wrong. Hope this helps!

4 0
3 years ago
How many solutions does the linear system below have? -8x+2y=6 and -4x+y=3
Verizon [17]

Answer:

Step-by-step explanation:

Try dividing the first equation by 3.  The result will be identical to the second equation.  Thus, we have two lines that coincide, and therefore there are an infinite number of solutions.

7 0
2 years ago
Please help n show work
notsponge [240]

x = time in minutes

y = distance remaining

Steve starts at home when the time is x = 0 minutes. The y value y = 40 pairs up with this x value. This is shown by the point (0,40) on the diagonal line, aka the y intercept. The y intercept is where the line crosses the y axis.

The y = 40 indicates that Steve has 40 miles remaining when he starts at home. In other words, the distance from home to work is 40 miles.

The x intercept is where the diagonal line crosses or touches the x axis. The x intercept is (45,0) which represents the idea that 45 minutes have passed by. The y = 0 means that he has 0 miles left go to. Steve has reached the office at this point.

-----------------------------------------------

Answers:

Steve's office is located 40 miles from home

It takes him 45 minutes to travel this distance

3 0
3 years ago
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