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WINSTONCH [101]
2 years ago
12

__, __, 16, __, __, 40 what are the missing numbers in this sequence?

Mathematics
1 answer:
Sloan [31]2 years ago
6 0
0, 8, 16, 24, 32, 40
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Triangle RST is rotated 180° about the origin, and then translated up 3 units. Which congruency statement describes the figures?
Mazyrski [523]

Answer: ΔRST ≅ ΔBAC


Step-by-step explanation:

We know that  To rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y).

Thus, The coordinates of Δ RST becomes

R (1,1) → R'(-1,-1)

S (3,4) → S'(-3,-4)

T(-5,0) → T'(5,0)

Also ΔRST after rotation is translated up 3 units. , so we apply the rule (x,y)→(x,y+3)

R'(-1,-1)→R"(-1,-1+3)=R"(-1,2)→ B

S'(-3,-4) → S"(-3,-4+3) = R"(-3,-1) → A

C'(-5,0) → C"(-5,0+3) → C"(-5,3) → C

As rotation and translation both are rigid transformation that maps only congruent figures.

Therefore, ΔRST ≅ Δ BAC


7 0
3 years ago
Read 2 more answers
Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h repre
oksano4ka [1.4K]

Answer:9.4$ a hour

Step-by-step explanation:

110 - 16 = 94

94 / 10 = 9.4

she makes 9.4$ a hour

<!> Brainliest is appreciated! <!>

6 0
2 years ago
Read 2 more answers
2. Find the equation of the perpendicular bisector of line PQ where the co-ordinates of P and Q are P (-2, 8) and Q (4,7)
Novosadov [1.4K]

Answer:

2y - 12x = 3

Step-by-step explanation:

gradient of line PQ= (7-8)/ 4+2

-1/6

gradient of perpendicular bisector of line PQ=

-1 ÷ -1/6

-1× -6

6

coordinates of the midpoint of line PQ

(-2+4)/2, (8+7)/2

(1, 15/2)

the perpendicular bisector passes through the midpoint of line PQ

Equation of the perpendicular bisector

y - 15/2 = 6(x - 1)

multiply through by 2

2y - 15 = 12(x - 1)

2y - 15 = 12x - 12

2y - 12x = 3

8 0
2 years ago
What is the value of the expression 3-4 x 3-5<br> x
DerKrebs [107]
I believe if that says three minus four times three minus five or three plus negative four times three plus negative five (same thing) then the answers should be positive two (2.)
4 0
2 years ago
in order to encourage students to show up early to a school dance , the dance comittee decides to charge less for those who come
nadya68 [22]
It would be $2.25 if each student pays one more penny than the last one the penny count would be up to 150 pennies times the number of student which is 150 so multiply and add your decimal
7 0
2 years ago
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