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Delvig [45]
3 years ago
8

Triangle QRS has been translated to create triangle Q'R'S'. RS= R'S' = 10 units, QS= Q'S' = 5 units, and angles Q and Q' are bot

h 90 degrees. Which theorem below would prove the two triangles are congruent?
Mathematics
2 answers:
const2013 [10]3 years ago
5 0
It would be ASA(angle side angle)

if 2 angles and an included side are congruent, then the two triangles are congruent.
meriva3 years ago
3 0

Answer:

HL Theorem

Step-by-step explanation:

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Please explain how you came to your answer, need help ASAP. Will give brainliest
shusha [124]
The vertex is the high point of the curve, (2, 1). The vertex form of the equation for a parabola is
.. y = a*(x -h)^2 +k . . . . . . . for vertex = (h, k)

Using the vertex coordinates we read from the graph, the equation is
.. y = a*(x -2)^2 +1

We need to find the value of "a". We can do that by using any (x, y) value that we know (other than the vertex), for example (1, 0).
.. 0 = a*(1 -2)^2 +1
.. 0 = a*1 +1
.. -1 = a

Now we know the equation is
.. y = -(x -2)^2 +1

_____
If we like, we can expand it to
.. y = -(x^2 -4x +4) +1
.. y = -x^2 +4x -3

=========
An alternative approach would be to make use of the zeros. You can read the x-intercepts from the graph as x=1 and x=3. Then you can write the equation as
.. y = a*(x -1)*(x -3)
Once again, you need to find the value of "a" using some other point on the graph. The vertex (x, y) = (2, 1) is one such point. Subsituting those values, we get
.. 1 = a*(2 -1)*(2 -3) = a*1*-1 = -a
.. -1 = a
Then the equation of the graph can be written as
.. y = -(x -1)(x -3)
In expanded form, this is
.. y = -(x^2 -4x +3)
.. y = -x^2 +4x -3 . . . . . . same as above
5 0
3 years ago
The parallelogram is reflected across the line y = x. Which of the following are coordinates of a vertex of the image?
Korvikt [17]

Answer:

A'(1,-5)

Step-by-step explanation:

The coordinates of the given quadrilaterals are

A(-5,1),B(-4,3),C(-2,1),D(-3,-1)


The reflection in the line y=x has the mapping,

(x,y)\rightarrow(y,x)


We just have to swap the coordinates.


This implies that,


A(-5,1)\rightarrow A'(1,-5)


B(-4,3)\rightarrow B'(3,-4)


C(-2,1)\rightarrow C'(1,-2)


D(-3,-1)\rightarrow D'(-1,-3)


Therefore the correct answer is A.

A'(1,-5)

8 0
3 years ago
Read 2 more answers
What is the value of x in the equation x- 3/4 =5 1/6​
Wewaii [24]

Answer:

5 11/12

Step-by-step explanation:

First convert the mixed number into an improper fraction: 31/6

Find a common denominator:

18/24 and 124/24

124/24+ 18/24 is 142/24 and that is the same as 5 11/12

Hopefully this helps and you can have a lovely day!

3 0
3 years ago
Find the missing angle measure in ΔABC.
Otrada [13]
The answer to your question is b
4 0
3 years ago
In the coordinates of A are (-2,3) and the coordinates of B are (7,-1), find the length of AB
nekit [7.7K]

Answer:

√97

Step-by-step explanation:

5 0
3 years ago
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