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uranmaximum [27]
3 years ago
6

The following triangles are congruent by SAS. How did we know that

Mathematics
1 answer:
horsena [70]3 years ago
4 0

Answer:

The angles are vertical and share the same vertex.

You might be interested in
What transformations to the linear parent function, f(x) = x, give the function
77julia77 [94]

Answer:

A. Shift down 2 units.

B. Vertically stretch by a factor of 4.

Step-by-step explanation:

Given the function

f(x)=x

If we stretch y vertically by a factor of m, we have: y=m·f (x)

Therefore:

Vertically stretching f(x) by a factor of 4, we have: 4x.

Next, if we take down f(x) by k units we have: y= f(x)-k

Therefore: Taking down 4x by 2 units, we obtain:

g(x)=4x-2

Therefore, Options A and B applies.

7 0
3 years ago
What are the solutions to 0=x^2-x+1?​
kumpel [21]

Answer: No solutions

Step-by-step explanation:

    There are no solutions to 0 = x² - x + 1.

[Method One]

   We can solve this by rewriting the equation, but it is quicker to graph it when there are no solutions. See attached.

[Method Two]

 I said we can solve this by solving an equation, here it is. We will use the quadratic formula since the equation given is already in the proper form.

\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

\displaystyle x=\frac{1\pm\sqrt{(-1)^2-4(1)(1)} }{2(1)}

\displaystyle x=\frac{1\pm\sqrt{-3} }{2}

   -> Negative numbers don't have real square roots, so there is no solution

4 0
2 years ago
Given the following functions f(x) and g(x), solve for (f ⋅ g)(2) and select the correct answer below:
Marizza181 [45]
<h3>Answer:</h3>

-84

<h3>Explanation:</h3>

(f·g)(2) = f(2)·g(2)

... = (3·2²+2)·(2-8) = 14·(-6) = -84 . . . . . put the numbers in the function and do the arithmetic

7 0
3 years ago
Read 2 more answers
The cube root of the difference of a number and 2
julia-pushkina [17]

Answer:

The difference of two cubes is equal to the difference of their cube roots times a trinomial, which contains the squares of the cube roots and the opposite of the product of the cube roots. A number's opposite is that same number with a different sign in front.

Step-by-step explanation:

8 0
3 years ago
Write an equation of a parabola that passes through the point (2,4) with vertex (-1,-1) in vertex form.
quester [9]
An applicable equation of a vertical parabola in vertex form is:

y-k = a(x-h)^2

Let x=2, y=4, h=-1 and k=-1, where (h,k) is the vertex.  Then,

4-(-1) = a(2-[-1])^2, which becomes 5 = a(9).  Therefore, a = 5/9, and the 
equation of the parabola is

y+1 = (5/9)(x+1)
8 0
3 years ago
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