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Kipish [7]
2 years ago
5

The triangles shown are congruent by the SSS congruence theorem.

Mathematics
2 answers:
Keith_Richards [23]2 years ago
6 0

Answer:

B. Rotation, then Translation, then Reflection

Step-by-step explanation:

I got the answer right on Ingenuity.

The site doesn't let me put Ingenuity with an E instead of an I at the front.

denis23 [38]2 years ago
3 0
1. Let's check the problem backwards. So let's map A"B"C" to ABC

2. We first need to reflect  A"B"C" to A"B"C' with A"B"" as the axis of rotation.

3. Then we shift a few units up (translation) A"B"C' to A'B'C

4. Finally we rotate A'B'C around C to map the triangle onto ABC

going backwards we get the answer: b

<span>b.rotation, then translation, then reflection</span>

You might be interested in
Simplify each expression, #1: 4(f+2g) - 4g +f. #2: 5g(9m-2) + 3g
Serjik [45]

Answer:

1) 5f

2) 45gm-7g

Step-by-step explanation:

hope this helped!

7 0
2 years ago
f(x) = x4 - 50x2 + 3 (a) Find the intervals on which f is increasing. (Enter the interval that contains smaller numbers first.)
shtirl [24]

Answer:

  (-5, 0) ∪ (5, ∞)

Step-by-step explanation:

I find a graph convenient for this purpose. (See below)

__

When you want to find where a function is increasing or decreasing, you want to look at the sign of the derivative. Here, the derivative is ...

  f'(x) = 4x^3 -100x = 4x(x^2 -25) = 4x(x +5)(x -5)

This has zeros at x=-5, x=0, and x=5. The sign of the derivative will be positive when 0 or 2 factors have negative signs. The signs change at the zeros. So, the intervals of f' having a positive sign are (-5, 0) and (5, ∞).

5 0
3 years ago
What values of k will make the line containing points (k,3) and (-2,1) parallel to the line through (5, K) and (1,0)
rjkz [21]

Answer:

k = -4 or 2

Step-by-step explanation:

For the lines to be parallel, the lines would need to be the same slope. This means to find the slope of each we would take the difference of the rise over the run.

\frac{1-3}{-2-k}=\frac{-2}{-2-k}

and

\frac{0-k}{1-5}=\frac{-k}{-4}

To find K, set them equal.

\frac{-2}{-2-k} = \frac{-k}{-4}\\-k(-2-k) = -2*-4\\2k+k^2=8\\k^2+2k-8=0

Factor the quadratic and solve for K.

(k+4)(k-2)=0

k+4=0 so k=-4

k-2=0 so k=2

4 0
3 years ago
A.B,and C are collinear. AB=5x-19,and BC= 3x+4. Find an expression for AC if B is between A and C.
uysha [10]
Find A <span>if B is between A and C.
</span><span>A.B,and C are collinear so A, B and C are line up in a line</span>

AC = AB + BC

AB=5x-19,and BC= 3x+4 given;

So

AC = 5x-19 + 3x+4

Simplify

AC = 8x -15

4 0
3 years ago
A) 120 is what percentage of 30
scZoUnD [109]

Answer:

a ) 400 percent

b )  n = 25

c)  n= 36

Step-by-step explanation:

Is means equals, of means multiply and percents need to be changed to decimals.

a) 120 is what percentage of 30

120 = P * 30

Divide each side by 30

120/30 =P* 30/30

4 = P

Multiply by 100 to give the percentage

4 * 100

400 percent


b) 30 is 120% of what number

30 = 1.2 * n

Divide each side by 1.2

30/1.2 = 1.2n/1.2

25  = n


c) what number is 30%of 120

n = .3 * 120

n =36


3 0
3 years ago
Read 2 more answers
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