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Mamont248 [21]
3 years ago
8

A triangle on a coordinate plane is translated according to the rule T-3,5(x, y). Which is another way to write this rule?

Mathematics
1 answer:
Tresset [83]3 years ago
5 0
<h3>Answer: Choice A. (x,y) \to (x-3, y+5)</h3>

Explanation:

The notation T_{-3,5}(x,y)  or means to move any point (x,y) along the vector <-3,5>. Put another way, it says to shift (x,y) three units to the left and five units up. The x portion deals with left or right shifting, the y portion deals with up or down shifting. Since the x portion is negative, we go in the negative direction on the x axis. Y being positive means we move up rather than down.

This all means we end up with the translation rule (x,y) \to (x-3,y+5)

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Which triangle congruence postulates can be used to prove that Triangle ABD is congruent to Triangle CDB in Rectangle ABCD?
kramer

Answer:

SSS, SAS, ASA, AAS, HL

Step-by-step explanation:

1. SSS (side side side) says if 3 sides of one triangle are congruent to 3 sides of another triangle, then the 2 triangles are congruent.

2. SAS (side angle side) says if 2 sides and the included angle of a triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent.

3. ASA (angle side angle) says if 2 angles and the included side of a triangle are congruent to 2 angles and the included side of another triangle, then the 2 triangles are congruent.

4. AAS (angle angle side) says if 2 angles and the none included side of one triangle are congruent to the corresponding parts of another triangle, then the 2 triangles are congruent.

5 HL (hypotenuse leg) says if 2 right triangles that have a congruent hypotenuse and a corresponding congruent leg, then the 2 triangles are congruent.

Because it is a rectangle, the sides are equal, and they share the same hypotenuse.

4 0
2 years ago
If CE= 7x+4 <br><br> x+3 + 8x-9 = 7x+4
MA_775_DIABLO [31]
The answer is 39.

Explanation:
To find the x, you need to start by adding your “like” terms on each side of the equal sign. This means the parts that you can add together. So, on the left side, you would add 3 and -9 together, which will make -6. Then, you would add x and 8x together, which would make 9x. So your left side will look like “9x-6”. There is nothing you can add together on the right side, so now you move on to the second step: combining the terms on both sides. You can do this by knowing that the opposite of subtraction is addition, and it’s the same the other way. Let’s look at our equation now:
9x-6=7x+4

9x and 7x are “like terms” so we can subtract. So now we have:
2x-6=4

We still need to make x be by itself, so now we can move the -6 over to the 4. We add because the opposite of subtraction is addition. So now we have:
2x=10

When a number is next to a missing number, that means they are being multiplied, and the opposite of multiplication is division. So we can divide 10 by 2, which equals five. So, x=5 and we can add that to our other missing number, CE. Replace “x” with “5” and you will see that CE=39.
4 0
3 years ago
Calculate the simple interest rate. (Round your answer to one decimal place.)
GrogVix [38]

Answer:R = 9.1667%/year

Step-by-step explanation:

Solving our equation

r = 330 / (3600 × 1) = 0.09166667

r = 0.09166667

converting r decimal to a percentage

R = 0.09166667 × 100 = 9.1667%/year

The interest rate required to

accumulate simple interest of $330.00

from a principal of $3,600.00

over 1 years is 9.1667% per year.

<h2>MARK ME AS BRAINILIEST</h2><h2 />
8 0
2 years ago
True or False. The area of the trapezoid is 24 sq. inches. (A = 1/2h(b1 + b2) or decompose the figure.
Amanda [17]

Answer:

false

Step-by-step explanation:

7 0
3 years ago
Hi! Can you help me answer this?
Free_Kalibri [48]

Answer:

C'(x)=-\frac{148}{x^2}

R'(x)=-0.06

Step-by-step explanation:

Marginal average Cost function:

\frac{d}{dx}(\frac{148+6.3x}{x})=-\frac{148}{x^2}

Marginal average Revenue function:

\frac{d}{dx}(\frac{3x-0.06x}{x})=-0.06

6 0
3 years ago
Read 2 more answers
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