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guapka [62]
3 years ago
8

Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P'Q'R' has v

ertices P'(1, −2), Q'(0, 3), and R'(−1, 0).
Plot triangles PQR and P'Q'R' on your own coordinate grid.

Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R'? Explain your answer.
Part B: Write the coordinates of triangle P"Q"R" obtained after P'Q'R' is reflected about the y-axis.
Part C: Are the two triangles PQR and P''Q''R'' congruent? Explain your answer.
im really confused Im giving 60 points to people who answer but please help asap
Mathematics
1 answer:
Serggg [28]3 years ago
5 0

Step-by-step explanation:

that's for Part B

Part C: triangles PQR and P"Q"R" are not congruent since the corresponding sides are not equal

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How do you find the area of this composite figure?
Illusion [34]
If you notice the picture below

the composite figure is just a trapezoid sitting on top of a rectangle
and then, the rectangle has a triangular hole in it

so.. get the area of the trapezoid   \bf \textit{area of a trapezoid}=A=\cfrac{h}{2}(a+b)\qquad 
\begin{cases}
h=height\\
a,b=\textit{parallel sides or bases}
\end{cases}

then get the area of the rectangle, which is just a 12x14
and then get the area of the triangle, which surely you know is 1/2 bh

then, subtract the triangle's area from the rectangle's area

and whatever is left, namely the difference, add that to the area of the trapezoid, and that's the composite's area

namely the area of the trapezoid plus the rectangle's, minus the triangle's

6 0
3 years ago
Aida is making banners from a roll of paper that is 4.05 meters long. She will cut the paper into 3 equal lengths. How long will
Hunter-Best [27]
1.35 meters because 4.05 / 3 = 1.35
8 0
3 years ago
Use the rule for order of operations to simplify the expression as much as possible.
ratelena [41]

Answer:

The answer to your question is 3

Step-by-step explanation:

Expression

                        3⁴ + 9² / 3³ - 9²

1.- Do the division

                        3⁴ + (9² / 3³) - 9²

Use law of exponents

                        3⁴ + (3⁴ / 3³) - 9²

                        3⁴ + 3⁴⁻³ - 9²

Simplify

                        3⁴ + 3 - 9²

2.- Convert 9² to base 3

                        3⁴ + 3 - 3⁴

3.- Simplify (associative property)

                        ( 3⁴ - 3⁴ ) + 3

4.- Result

                              3

                       

                       

7 0
3 years ago
Question in attachment​
denis-greek [22]

Answer:

(a) x + y = 63 OR 3x = 63

(b) 21

(c) 42

Step-by-step explanation:

Let Vijay's age be x and Ajay's be y.

Ajay is <u>twice</u> as old as Vijay

==> Ajay's age = 2 × Vijay's age

==> <u>y = 2x</u>

<h3>(a)</h3>

<u>Sum</u> of their ages = 63

==> x + y = 63

<em>Substituting</em><em> </em><em>2</em><em>x</em><em> </em><em>for</em><em> </em><em>y</em><em>:</em>

==> x + 2x = 63

==> 3x = 63

<h3>(b)</h3>

<em>Solving the above-obtained equation:</em>

<u>==> x = 21</u>

<h3>(c)</h3>

Ajay's age = 2 times that of Vijay

==> y = 2x

==> y = 2×21

<u>==> y = 42</u>

6 0
2 years ago
Brody is 4 years older than his brother Logan. The sum of their ages is 14. How old is Logan?
Vitek1552 [10]

Answer:

Logan is 5 years old.

Step-by-step explanation:

THE SUM of their ages is 14, if logan is ten, then brody is 14. 14+10=24. Logan is 5. 5+4=9, 9+5=14.

3 0
3 years ago
Read 2 more answers
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