Hi everyone how are you today I have some question about congruence and I don’t understand can you help me please.

Mathematics

1 answer:

Vsevolod [243]4 years ago

8 0

You can understand this by two ways

1) through congruency rules

It says that triangle ABE is congruent to DCE
So the corresponding angles are equal
Eg
Angle A to Angle D
Angle B to angle C
Angle E to angle E

So they’re asking the angles AEB and DEC (which are equal as per congruency)

Thus you can equate them
4y-15=69
y=21

2) through vertically opposite angles
Since the triangles’ angles are vertically opposite one another, they are equal.

Then you can equate them the same way

Hope this helped!!

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Teresa graphs the following 33 equations: y=2xy=2x, y=x2+2y=x2+2, and y=2x2y=2x2. She says that the graph of y=2xy=2x will event

Neko [114]

The correct question is
Teresa graphs the following 3 equations: y=2x, y=x2+2, and y=2x2. She says that the graph of y=2x will eventually surpass both of the other graphs. Is Teresa correct? Why or why not?

we have that
y=2x
y=x²+2
y=2x²

using a graph tool
see the attached figure

We can affirm the following
the three graphs present the same domain-----> the interval (-∞,∞)

The range of the graph y=2x is the interval (-∞,∞)

The range of the graphs y=x²+2 and y=2x² is the interval [0,∞)

therefore
Teresa is not correct because the graph of y = 2x will not surpass the other two graphs since in the interval of [0, infinite) the three graphs present the same range