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olga55 [171]
3 years ago
8

Which sequence of rigid motions will definitely work to take triangle GHJ onto triangle STU

Mathematics
1 answer:
myrzilka [38]3 years ago
7 0

Answer: Translate GHJ by the directed line segment GS. Rotate G'H'J' using T as the center by angle H'TS. Reflect G"H"J" over ST

Step-by-step explanation:

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Find the equation of a parabola with a vertical axis and its vertex at the origin and passing through the point (-2, 3)
vredina [299]

a vertical axis, I assume it means a vertical axis of symmetry, thus it'd be a vertical parabola, like the one in the picture below.

\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} y=a(x- h)^2+ k\qquad \qquad \leftarrow vertical\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=0\\ k=0 \end{cases}\implies y=a(x-0)^2+0 \\\\\\ \textit{we also know that } \begin{cases} x=-2\\ y=3 \end{cases}\implies 3=a(-2-0)^2+0\implies 3=4a \\\\\\ \cfrac{3}{4}=a~\hspace{10em}y=\cfrac{3}{4}(x-0)^2+0\implies \boxed{y=\cfrac{3}{4}x^2}

8 0
3 years ago
Find the value of x that will make A||B<br> A-<br> 2x + 50<br> 5x - 80<br> B-<br> x = [?]
LenKa [72]

Answer:

15

Step-by-step explanation:

If A||B then the sum of given angles must be equal to 180°

2x + 5 + 5x - 80 = 180 add like terms

7x - 75 = 180 subtract 75 from both sides

7x = 105 divide both sides by 7

x = 15

8 0
3 years ago
Read 2 more answers
Assume the 72-gon is a regular polygon. The measure of one interior angle is how many
Greeley [361]

9514 1404 393

Answer:

  • interior: 175°
  • exterior: 5°

Step-by-step explanation:

The sum of exterior angles is 360°, so the exterior angle can be easiest to find first.

  exterior angle = 360°/72 = 5°

The interior angle is the supplement of this.

  interior angle = 180° -5° = 175°

The measure of one interior angle is 175°; one exterior angle is 5°.

8 0
3 years ago
Barbara runs once around the track in 3 minutes 45 seconds. Liad runs around the track in 2
seropon [69]

Answer:

2/3rds of liad's run

Step-by-step explanation:

3 min 45s = 3 3/4 min = 15/4 min; 10/(15/4) = 8/3 laps

2min 30s = 2 1/2 min = 5/2 min; 10/(5/2) = 4 laps

(8/3)/4 = 2/3

3 0
2 years ago
5x + 2 =3x - 14<br> Simplify and solve the following<br><br><br> hey
Elina [12.6K]

Answer:

x=-8

Step-by-step explanation:

5x-3x=-2-14

2x=-16

x=-8

3 0
3 years ago
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