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vova2212 [387]
3 years ago
9

BRANLIEST WILL BE GIVEN

Mathematics
1 answer:
amm18123 years ago
3 0

Answer:

The correct is 4.

Step-by-step explanation:

It is given that figure ABCD is transformed to figure A′B′C′D′.

The vertices of ABCD are A(1,1), B(3,3), C(4,2) and D(4,1).

The vertices of A'B'C'D' are A'(1,-3), B'(3,-1), C'(4,-2) and D'(4,-3).

It is clear that the figure translate 4 units down and the rule of translation is

(x ,y) -->(x ,y - 4)

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Explain how to find the value of x. Be sure to include the postulates, definitions and theorems that justify your answer.
Black_prince [1.1K]

Answer: x = 12

Step-by-step explanation:

We can see two triangles rectangles, we will use the angle S to solve this, as this angle is common to both triangles.

We know that:

cos(S) = adj cathetus/hipotenuse.

Then we have, for the triangle SRT.

Cos(S) = 9/SR.

for the big triangle, SQR, we have:

Cos(S) = SR/(9 + 16)

now we can find the quotient of those two equations and get:

cos(S)/cos(S) = 9/Sr*(9+16)/SR

SR^2 = 9*(25)

SR =  15.

Now with this side we can find the value of x.

We can use the Pythagorean theorem in the triangle SRT, where the sum of the squared cathetus is equal to the hypotenuse:

9^2 + x^2 = 15^2

x = √(15^2  - 9^2) = 12

7 0
3 years ago
Write the ratio in its simplest form using the colon. 24 blue cars out of 48 cars.
Tems11 [23]

Answer:

1:2

Step-by-step explanation:

24 : 48 simplified is 1 : 2

7 0
3 years ago
A diver ascended 8/9 of a meter in 1/9 of a minute. What was the divers rate of ascent in meters per minute?
stira [4]
Divide 8/9 by 1/9 to get 8 meters per minute
5 0
4 years ago
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A store had 150 Rams jerseys in stock on Friday. They had 100 jerseys left on Saturday. The amount went down by:
PSYCHO15rus [73]

Answer:

50

Step-by-step explanation:

4 0
2 years ago
It's urgent! Please help me:)
nikitadnepr [17]
Greater than 2.4 x 10^4:
3.2 x 10^5
2.5 x 10^4

between 1.2 x 10^2 and 2.4 x 10^4:
2.2 x 10^3
2.4 x 10^3
5.9 x 10^2



less than 1.2 x 10^2
1.9 x 10^-1
6.1 x 10^1
6 0
3 years ago
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